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Lineare zeitinvariante Systeme - Versionsgeschichte
2024-03-28T13:56:06Z
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Guenter am 26. März 2023 um 13:44 Uhr
2023-03-26T13:44:22Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 26. März 2023, 13:44 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=Beschrieben wird aufbauend auf dem Buch &nbsp;[[Signaldarstellung|&raquo;Signaldarstellung&laquo;]],&nbsp; wie man den Einfluss eines Filters auf deterministische Signale mathematisch erfassen kann:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=Beschrieben wird aufbauend auf dem Buch &nbsp;[[Signaldarstellung|&raquo;Signaldarstellung&laquo;]],&nbsp; wie man den Einfluss eines Filters auf deterministische Signale mathematisch erfassen kann:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($&raquo;System&laquo;$)$&nbsp; anhand von Ursache &nbsp; &rArr; &nbsp; $[$Eingang &nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und Wirkung &nbsp; &rArr; &nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($&raquo;System&laquo;$)$&nbsp; anhand von<ins class="diffchange diffchange-inline">&nbsp; &raquo;</ins>Ursache<ins class="diffchange diffchange-inline">&laquo;</ins>&nbsp; &rArr;&nbsp; $[$Eingang&nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und<ins class="diffchange diffchange-inline">&nbsp; &raquo;</ins>Wirkung<ins class="diffchange diffchange-inline">&laquo;</ins>&nbsp; &rArr;&nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; &raquo;Frequenzgang&raquo;&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; &raquo;Impulsantwort&laquo;&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; &raquo;Frequenzgang&raquo;&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; &raquo;Impulsantwort&laquo;&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen &nbsp; &rArr; &nbsp; $ y(t)\ne K \cdot x(t - \tau)$;&nbsp; verzerrungsfreies System:&nbsp; Ausgang und Eingang unterscheiden sich durch Dämpfung/Verstärkung und Laufzeit.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen &nbsp; &rArr; &nbsp; $ y(t)\ne K \cdot x(t - \tau)$;&nbsp; verzerrungsfreies System:&nbsp; Ausgang und Eingang unterscheiden sich durch Dämpfung/Verstärkung und Laufzeit.</div></td></tr>
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Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=34153&oldid=prev
Guenter am 24. März 2023 um 17:44 Uhr
2023-03-24T17:44:22Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 24. März 2023, 17:44 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Kurzer Überblick===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Kurzer Überblick===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=Beschrieben wird aufbauend auf dem Buch &nbsp;[[Signaldarstellung|<del class="diffchange diffchange-inline">"</del>Signaldarstellung<del class="diffchange diffchange-inline">"</del>]],&nbsp; wie man den Einfluss eines Filters auf deterministische Signale mathematisch erfassen kann:</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=Beschrieben wird aufbauend auf dem Buch &nbsp;[[Signaldarstellung|<ins class="diffchange diffchange-inline">&raquo;</ins>Signaldarstellung<ins class="diffchange diffchange-inline">&laquo;</ins>]],&nbsp; wie man den Einfluss eines Filters auf deterministische Signale mathematisch erfassen kann:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($<del class="diffchange diffchange-inline">"</del>System<del class="diffchange diffchange-inline">"</del>$)$&nbsp; anhand von Ursache &nbsp; &rArr; &nbsp; $[$Eingang &nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und Wirkung &nbsp; &rArr; &nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($<ins class="diffchange diffchange-inline">&raquo;</ins>System<ins class="diffchange diffchange-inline">&laquo;</ins>$)$&nbsp; anhand von Ursache &nbsp; &rArr; &nbsp; $[$Eingang &nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und Wirkung &nbsp; &rArr; &nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; <del class="diffchange diffchange-inline">"</del>Frequenzgang<del class="diffchange diffchange-inline">"</del>&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; <del class="diffchange diffchange-inline">"</del>Impulsantwort<del class="diffchange diffchange-inline">"</del>&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; <ins class="diffchange diffchange-inline">&raquo;</ins>Frequenzgang<ins class="diffchange diffchange-inline">&raquo;</ins>&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; <ins class="diffchange diffchange-inline">&raquo;</ins>Impulsantwort<ins class="diffchange diffchange-inline">&laquo;</ins>&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen &nbsp; &rArr; &nbsp; $ y(t)\ne K \cdot x(t - \tau)$;&nbsp; verzerrungsfreies System:&nbsp; Ausgang und Eingang unterscheiden sich durch Dämpfung/Verstärkung und Laufzeit.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen &nbsp; &rArr; &nbsp; $ y(t)\ne K \cdot x(t - \tau)$;&nbsp; verzerrungsfreies System:&nbsp; Ausgang und Eingang unterscheiden sich durch Dämpfung/Verstärkung und Laufzeit.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Lineare Verzerrungen &nbsp; &rArr; &nbsp; $ Y(f)=X(f)\cdot H(f)$&nbsp; $($möglicherweise reversibel$)$;&nbsp; nichtlineare Verzerrungen<del class="diffchange diffchange-inline">" </del>&nbsp; &rArr; &nbsp; Entstehung neuer Frequenzen&nbsp; $($irreversibel$)$.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Lineare Verzerrungen &nbsp; &rArr; &nbsp; $ Y(f)=X(f)\cdot H(f)$&nbsp; $($möglicherweise reversibel$)$;&nbsp; nichtlineare Verzerrungen &nbsp; &rArr; &nbsp; Entstehung neuer Frequenzen&nbsp; $($irreversibel$)$.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Besonderheiten kausaler Systeme &nbsp; &rArr; &nbsp; $ h(t<0)\equiv 0$;&nbsp; Hilbert-Transformation,&nbsp; Laplace-Transformation; Laplace-Rücktransformation &nbsp; &rArr; &nbsp; Residuensatz.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Besonderheiten kausaler Systeme &nbsp; &rArr; &nbsp; $ h(t<0)\equiv 0$;&nbsp; Hilbert-Transformation,&nbsp; Laplace-Transformation; Laplace-Rücktransformation &nbsp; &rArr; &nbsp; Residuensatz.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>#Einige Ergebnisse der Leitungstheorie;&nbsp; Koaxialkabelsysteme &nbsp; &rArr; &nbsp; <del class="diffchange diffchange-inline">"</del>Weißes Rauschen<del class="diffchange diffchange-inline">"</del>;&nbsp; Kupfer-Doppeladern &nbsp; &rArr; &nbsp; dominant ist&nbsp; "Nahnebensprechen".</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>#Einige Ergebnisse der Leitungstheorie;&nbsp; Koaxialkabelsysteme &nbsp; &rArr; &nbsp; <ins class="diffchange diffchange-inline">&raquo;</ins>Weißes Rauschen<ins class="diffchange diffchange-inline">&laquo;</ins>;&nbsp; Kupfer-Doppeladern &nbsp; &rArr; &nbsp; dominant ist&nbsp; "Nahnebensprechen".</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|<del class="diffchange diffchange-inline">"</del>Stochastische Signaltheorie<del class="diffchange diffchange-inline">"</del>]]&nbsp; behandelt.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|<ins class="diffchange diffchange-inline">&raquo;</ins>Stochastische Signaltheorie<ins class="diffchange diffchange-inline">&raquo;</ins>]]&nbsp; behandelt.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln'''&laquo;&nbsp; und&nbsp; &raquo;'''93 Abschnitten'''&laquo;.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln'''&laquo;&nbsp; und&nbsp; &raquo;'''93 Abschnitten'''&laquo;.}}</div></td></tr>
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Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33952&oldid=prev
Guenter am 3. März 2023 um 17:13 Uhr
2023-03-03T17:13:51Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 3. März 2023, 17:13 Uhr</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen}$]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen}$]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:<del class="diffchange diffchange-inline">Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme</del>|$\text{Impressum}$]] }}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:<ins class="diffchange diffchange-inline">Impressum_zum_Buch_"Lineare_und_zeitinvariante_Systeme"</ins>|$\text{Impressum}$]] }}</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Display}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Display}}</div></td></tr>
</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33943&oldid=prev
Guenter am 3. März 2023 um 17:08 Uhr
2023-03-03T17:08:17Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
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<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="de">
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 3. März 2023, 17:08 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Zeile 12:</td>
<td colspan="2" class="diff-lineno">Zeile 12:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|"Stochastische Signaltheorie"]]&nbsp; behandelt.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|"Stochastische Signaltheorie"]]&nbsp; behandelt.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln'''&laquo;&nbsp; und&nbsp; &raquo;'''93 <del class="diffchange diffchange-inline">Seiten</del>'''&laquo;.}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln'''&laquo;&nbsp; und&nbsp; &raquo;'''93 <ins class="diffchange diffchange-inline">Abschnitten</ins>'''&laquo;.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33897&oldid=prev
Guenter am 23. Februar 2023 um 14:42 Uhr
2023-02-23T14:42:22Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 23. Februar 2023, 14:42 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l62" >Zeile 62:</td>
<td colspan="2" class="diff-lineno">Zeile 62:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen}$]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen}$]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme|$\text{Impressum}$]] <del class="diffchange diffchange-inline">&nbsp; $($Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme|$\text{Impressum}$]] }}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Neben diesen Theorieseiten bieten wir zu diesem Thema auch Aufgaben und multimediale Module an,&nbsp; die zur Verdeutlichung des Lehrstoffes beitragen könnten:</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*[https://www.lntwww.de/Kategorie:Aufgaben_zu_Lineare_zeitinvariante_Systeme $\text{Aufgaben}$]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*[[LNTwww:Lernvideos_zu_Lineare_zeitinvariante_Systeme|$\text{Lernvideos}$]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*[[LNTwww:Applets_zu_Lineare_zeitinvariante_Systeme|$\text{Applets}$]]&nbsp; </del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><br><br></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">$\text{Weitere Links:}$</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><br><br></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">$(1)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen zum Buch}$]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">$(2)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_zeitinvariante_Systeme|$\text{Allgemeine Hinweise zum Buch}$]] &nbsp; $($Autoren,&nbsp; weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Display}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Display}}</div></td></tr>
</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33895&oldid=prev
Guenter am 23. Februar 2023 um 14:36 Uhr
2023-02-23T14:36:24Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 23. Februar 2023, 14:36 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l60" >Zeile 60:</td>
<td colspan="2" class="diff-lineno">Zeile 60:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{BlaueBox|TEXT=</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen <del class="diffchange diffchange-inline">zum Buch</del>}$]]</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen}$]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme|$\text{<del class="diffchange diffchange-inline">Allgemeine Hinweise zum Buch</del>}$]] &nbsp; $($Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme|$\text{<ins class="diffchange diffchange-inline">Impressum</ins>}$]] &nbsp; $($Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
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Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33891&oldid=prev
Guenter am 23. Februar 2023 um 14:26 Uhr
2023-02-23T14:26:15Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 23. Februar 2023, 14:26 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l12" >Zeile 12:</td>
<td colspan="2" class="diff-lineno">Zeile 12:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|"Stochastische Signaltheorie"]]&nbsp; behandelt.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Der Filtereinfluss auf ein Zufallssignal wird erst später im letzten Kapitel des Buches &nbsp;[[Stochastische Signaltheorie|"Stochastische Signaltheorie"]]&nbsp; behandelt.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln'''&laquo;.}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&rArr; &nbsp; Hier zunächst eine&nbsp; &raquo;'''Inhaltsübersicht'''&laquo;&nbsp; anhand der&nbsp; &raquo;'''vier Hauptkapitel'''&laquo;&nbsp; mit insgesamt&nbsp; &raquo;'''zwölf Einzelkapiteln<ins class="diffchange diffchange-inline">'''&laquo;&nbsp; und&nbsp; &raquo;'''93 Seiten</ins>'''&laquo;.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33852&oldid=prev
Guenter am 19. Februar 2023 um 14:36 Uhr
2023-02-19T14:36:17Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 19. Februar 2023, 14:36 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l54" >Zeile 54:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(2)$&nbsp; &nbsp; [[LNTwww:Lernvideos_zu_Lineare_zeitinvariante_Systeme|$\text{Lernvideos}$]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(2)$&nbsp; &nbsp; [[LNTwww:Lernvideos_zu_Lineare_zeitinvariante_Systeme|$\text{Lernvideos}$]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(3)$&nbsp; &nbsp; [[LNTwww:<del class="diffchange diffchange-inline">Applets_zu_Lineare_zeitinvariante_Systeme</del>|$\text{Applets}$]]&nbsp;}} </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(3)$&nbsp; &nbsp; [[LNTwww:<ins class="diffchange diffchange-inline">Applets_zu_Lineare_und_zeitinvariante_Systeme</ins>|$\text{Applets}$]]&nbsp;}} </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Weitere Links:===</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===Weitere Links:===</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l62" >Zeile 62:</td>
<td colspan="2" class="diff-lineno">Zeile 62:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen zum Buch}$]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(4)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen zum Buch}$]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:<del class="diffchange diffchange-inline">Weitere_Hinweise_zum_Buch_Signaldarstellung</del>|$\text{Allgemeine Hinweise zum Buch}$]] &nbsp; $($Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$(5)$&nbsp; &nbsp; [[LNTwww:<ins class="diffchange diffchange-inline">Weitere_Hinweise_zum_Buch_Lineare_und_zeitinvariante_Systeme</ins>|$\text{Allgemeine Hinweise zum Buch}$]] &nbsp; $($Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis$)$}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><br><br></div></td></tr>
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</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33850&oldid=prev
Guenter am 17. Februar 2023 um 17:02 Uhr
2023-02-17T17:02:16Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 17. Februar 2023, 17:02 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4" >Zeile 4:</td>
<td colspan="2" class="diff-lineno">Zeile 4:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($"System"$)$&nbsp; anhand von Ursache &nbsp; &rArr; &nbsp; $[$Eingang &nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und Wirkung &nbsp; &rArr; &nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Die Systemtheorie analysiert einen Vierpol&nbsp; $($"System"$)$&nbsp; anhand von Ursache &nbsp; &rArr; &nbsp; $[$Eingang &nbsp; $ X(f)\bullet\!\!-\!\!-\!\!\circ\, x( t )]$&nbsp; und Wirkung &nbsp; &rArr; &nbsp; $[$Ausgang&nbsp; $ Y(f)\bullet\!\!-\!\!-\!\!\circ\, y( t )]$. </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; "Frequenzgang"&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; "Impulsantwort"&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Beschreibungsgröße im Frequenzbereich ist der&nbsp; "Frequenzgang"&nbsp; $ H(f)=Y(f)/X(f)$,&nbsp; im Zeitbereich die&nbsp; "Impulsantwort"&nbsp; $ h(t)$,&nbsp; wobei&nbsp; $ y(t)=x(t)\star h(t)$. </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen;&nbsp; <del class="diffchange diffchange-inline">Ursachen für</del>&nbsp; <del class="diffchange diffchange-inline">"lineare </del>Verzerrungen<del class="diffchange diffchange-inline">" </del>&nbsp; &rArr; &nbsp; $ <del class="diffchange diffchange-inline">y</del>(<del class="diffchange diffchange-inline">t</del>)= <del class="diffchange diffchange-inline">K </del>\cdot <del class="diffchange diffchange-inline">x</del>(<del class="diffchange diffchange-inline">t - \tau</del>)$&nbsp; <del class="diffchange diffchange-inline">und</del>&nbsp; <del class="diffchange diffchange-inline">"</del>nichtlineare Verzerrungen" &nbsp; &rArr; &nbsp; Entstehung neuer Frequenzen.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div># Systemverzerrungen <ins class="diffchange diffchange-inline">&nbsp; &rArr</ins>; &nbsp; <ins class="diffchange diffchange-inline">$ y(t)\ne K \cdot x(t - \tau)$;&nbsp; verzerrungsfreies System:</ins>&nbsp; <ins class="diffchange diffchange-inline">Ausgang und Eingang unterscheiden sich durch Dämpfung/Verstärkung und Laufzeit.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"># Lineare </ins>Verzerrungen &nbsp; &rArr; &nbsp; $ <ins class="diffchange diffchange-inline">Y</ins>(<ins class="diffchange diffchange-inline">f</ins>)=<ins class="diffchange diffchange-inline">X(f)</ins>\cdot <ins class="diffchange diffchange-inline">H</ins>(<ins class="diffchange diffchange-inline">f</ins>)$&nbsp; <ins class="diffchange diffchange-inline">$($möglicherweise reversibel$)$;</ins>&nbsp; nichtlineare Verzerrungen" &nbsp; &rArr; &nbsp; Entstehung neuer Frequenzen<ins class="diffchange diffchange-inline">&nbsp; $($irreversibel$)$</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Besonderheiten kausaler Systeme &nbsp; &rArr; &nbsp; $ h(t<0)\equiv 0$;&nbsp; Hilbert-Transformation,&nbsp; Laplace-Transformation; Laplace-Rücktransformation &nbsp; &rArr; &nbsp; Residuensatz.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div># Besonderheiten kausaler Systeme &nbsp; &rArr; &nbsp; $ h(t<0)\equiv 0$;&nbsp; Hilbert-Transformation,&nbsp; Laplace-Transformation; Laplace-Rücktransformation &nbsp; &rArr; &nbsp; Residuensatz.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#Einige Ergebnisse der Leitungstheorie;&nbsp; Koaxialkabelsysteme &nbsp; &rArr; &nbsp; "Weißes Rauschen";&nbsp; Kupfer-Doppeladern &nbsp; &rArr; &nbsp; dominant ist&nbsp; "Nahnebensprechen".</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#Einige Ergebnisse der Leitungstheorie;&nbsp; Koaxialkabelsysteme &nbsp; &rArr; &nbsp; "Weißes Rauschen";&nbsp; Kupfer-Doppeladern &nbsp; &rArr; &nbsp; dominant ist&nbsp; "Nahnebensprechen".</div></td></tr>
</table>
Guenter
https://www.lntwww.de/index.php?title=Lineare_zeitinvariante_Systeme&diff=33833&oldid=prev
Guenter am 12. Februar 2023 um 14:31 Uhr
2023-02-12T14:31:56Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 12. Februar 2023, 14:31 Uhr</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l48" >Zeile 48:</td>
<td colspan="2" class="diff-lineno">Zeile 48:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Neben diesen Theorieseiten bieten wir auch Aufgaben und multimediale Module zu diesem Thema an,&nbsp; die zur Verdeutlichung des Lehrstoffes beitragen könnten:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Neben diesen Theorieseiten bieten wir auch Aufgaben und multimediale Module zu diesem Thema an,&nbsp; die zur Verdeutlichung des Lehrstoffes beitragen könnten:</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">$(1)$&nbsp; &nbsp; [https://www.lntwww.de/Kategorie:Aufgaben_zu_Lineare_zeitinvariante_Systeme $\text{Aufgaben}$]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(1)$&nbsp; &nbsp; [https://www.lntwww.de/Kategorie:Aufgaben_zu_Lineare_zeitinvariante_Systeme $\text{Aufgaben}$]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$(1)$&nbsp; &nbsp; [https://www.lntwww.de/Kategorie:Aufgaben_zu_Lineare_zeitinvariante_Systeme $\text{Aufgaben}$]</div></td></tr>
</table>
Guenter