Applets:Linear Distortions of Periodic Signals - Versionsgeschichte

Maintenance script: Add English interlanguage link

2026-03-16T12:39:12Z

Add English interlanguage link

← Nächstältere Version		Version vom 16. März 2026, 14:39 Uhr
Zeile 328:		Zeile 328:

	{{LntAppletLinkEn\|linDistortions_en}}		{{LntAppletLinkEn\|linDistortions_en}}
			[[en:Applets:Linear_Distortions_of_Periodic_Signals]]

Maintenance script: Join multi-line formulas for MW 1.43 parser compat

2026-02-24T13:40:27Z

Join multi-line formulas for MW 1.43 parser compat

← Nächstältere Version		Version vom 24. Februar 2026, 15:40 Uhr
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	<br>		<br>
	The generally complex valued frequency response can be represented as follows:		The generally complex valued frequency response can be represented as follows:
	:$$H(f) = \|H(f)\| \cdot {\rm e}^{-{\rm j} \hspace{0.05cm} \cdot		:$$H(f) = \|H(f)\| \cdot {\rm e}^{-{\rm j} \hspace{0.05cm} \cdot\hspace{0.05cm} b(f)} = {\rm e}^{-a(f)}\cdot {\rm e}^{-{\rm j}\hspace{0.05cm} \cdot \hspace{0.05cm} b(f)}.$$
	\hspace{0.05cm} b(f)} = {\rm e}^{-a(f)}\cdot {\rm e}^{-{\rm j}
	\hspace{0.05cm} \cdot \hspace{0.05cm} b(f)}.$$

	This results in the following description variables:		This results in the following description variables:
	*The absolute value $\|H(f)\|$ is called '''amplitude response''' and in logarithmic form '''attenuation function''':		*The absolute value $\|H(f)\|$ is called '''amplitude response''' and in logarithmic form '''attenuation function''':
	:$$a(f) = - \ln \|H(f)\|\hspace{0.2cm}{\rm in \hspace{0.1cm}Neper		:$$a(f) = - \ln \|H(f)\|\hspace{0.2cm}{\rm in \hspace{0.1cm}Neper\hspace{0.1cm}(Np) } = - 20 \cdot \lg \|H(f)\|\hspace{0.2cm}{\rm in\hspace{0.1cm}Decibel \hspace{0.1cm}(dB) }.$$
	\hspace{0.1cm}(Np) } = - 20 \cdot \lg \|H(f)\|\hspace{0.2cm}{\rm in
	\hspace{0.1cm}Decibel \hspace{0.1cm}(dB) }.$$
	*The '''phase function''' $b(f)$ indicates the negative frequency–dependent angle of $H(f)$ in the complex plane based on the real axis:		*The '''phase function''' $b(f)$ indicates the negative frequency–dependent angle of $H(f)$ in the complex plane based on the real axis:
	:$$b(f) = - {\rm arc} \hspace{0.1cm}H(f) \hspace{0.2cm}{\rm in		:$$b(f) = - {\rm arc} \hspace{0.1cm}H(f) \hspace{0.2cm}{\rm in\hspace{0.1cm}Radian \hspace{0.1cm}(rad)}.$$
	\hspace{0.1cm}Radian \hspace{0.1cm}(rad)}.$$

Höfler: Textersetzung - „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29“ durch „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_von_1974-2024.29“

2025-02-24T09:43:00Z

Textersetzung - „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29“ durch „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_von_1974-2024.29“

← Nächstältere Version		Version vom 24. Februar 2025, 11:43 Uhr
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	==About the Authors==		==About the Authors==
	This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].		This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].
	*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.~~28am_LNT_seit_1974~~.29\|Günter Söder]] ).		*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_von_1974-2024.29\|Günter Söder]] ).
	*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29\|Tasnád Kernetzky]]) .		*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29\|Tasnád Kernetzky]]) .

Höfler am 26. Oktober 2023 um 09:44 Uhr

2023-10-26T09:44:15Z

← Nächstältere Version		Version vom 26. Oktober 2023, 11:44 Uhr
Zeile 328:		Zeile 328:
	This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].		This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].
	*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29\|Günter Söder]] ).		*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29\|Günter Söder]] ).
	*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[~~Biografien_und_Bibliografien/~~Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29\|Tasnád Kernetzky]]) .		*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29\|Tasnád Kernetzky]]) .

	==Once again: Open Applet in new Tab==		==Once again: Open Applet in new Tab==

	{{LntAppletLinkEn\|linDistortions_en}}		{{LntAppletLinkEn\|linDistortions_en}}

Höfler am 26. Oktober 2023 um 09:42 Uhr

2023-10-26T09:42:10Z

← Nächstältere Version		Version vom 26. Oktober 2023, 11:42 Uhr
Zeile 328:		Zeile 328:
	This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].		This interactive calculation was designed and realized at the [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] of the [https://www.tum.de/ Technische Universität München].
	*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29\|Günter Söder]] ).		*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Bettina_Hirner_.28Diplomarbeit_LB_2005.29\|Bettina Hirner]] as part of her Diploma thesis using &bdquo;FlashMX–Actionscript” (Supervisor: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29\|Günter Söder]] ).
	*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[Biografien_und_Bibliografien/~~Beteiligte_der_Professur_Leitungsgebundene_%C3%9Cbertragungstechnik~~#~~Tasn.C3~~.~~A1d_Kernetzky~~.~~2C_M~~.Sc._.28bei_L.C3.~~9CT_seit_2014~~.29\|Tasnád Kernetzky]]) .		*In 2018 this Applet was redesigned and updated to &bdquo;HTML5” by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Jimmy_He_.28Bachelorarbeit_2018.29\|Jimmy He]] as part of his Bachelor's thesis (Supervisor: [[Biografien_und_Bibliografien/Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29\|Tasnád Kernetzky]]) .

	==Once again: Open Applet in new Tab==		==Once again: Open Applet in new Tab==

	{{LntAppletLinkEn\|linDistortions_en}}		{{LntAppletLinkEn\|linDistortions_en}}

Tasnad am 9. Juni 2020 um 20:52 Uhr

2020-06-09T20:52:33Z

← Nächstältere Version		Version vom 9. Juni 2020, 22:52 Uhr
Zeile 1:		Zeile 1:
	{{LntAppletLinkEn\|~~linDistortions~~}}		{{LntAppletLinkEn\|linDistortions_en}}

	==Applet Description==		==Applet Description==
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	==Once again: Open Applet in new Tab==		==Once again: Open Applet in new Tab==

	{{LntAppletLinkEn\|~~linDistortions~~}}		{{LntAppletLinkEn\|linDistortions_en}}

Tasnad am 9. Juni 2020 um 20:40 Uhr

2020-06-09T20:40:17Z

← Nächstältere Version		Version vom 9. Juni 2020, 22:40 Uhr
Zeile 333:		Zeile 333:

	{{LntAppletLinkEn\|linDistortions}}		{{LntAppletLinkEn\|linDistortions}}

	~~[[Category:Applets\|^Linear Distortions^]]~~

Tasnad am 9. Juni 2020 um 20:39 Uhr

2020-06-09T20:39:12Z

← Nächstältere Version		Version vom 9. Juni 2020, 22:39 Uhr
Zeile 334:		Zeile 334:
	{{LntAppletLinkEn\|linDistortions}}		{{LntAppletLinkEn\|linDistortions}}

	[[Category:Applets\|^~~Periodendauer~~^]]		[[Category:Applets\|^Linear Distortions^]]

Tasnad am 9. Juni 2020 um 20:33 Uhr

2020-06-09T20:33:16Z

← Nächstältere Version		Version vom 9. Juni 2020, 22:33 Uhr
Zeile 1:		Zeile 1:
	{{LntAppletLinkEn\|~~verzerrungen~~}}		{{LntAppletLinkEn\|linDistortions}}

	==Applet Description==		==Applet Description==
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	==Once again: Open Applet in new Tab==		==Once again: Open Applet in new Tab==

	{{LntAppletLinkEn\|~~verzerrungen~~}}		{{LntAppletLinkEn\|linDistortions}}

	[[Category:Applets\|^Periodendauer^]]		[[Category:Applets\|^Periodendauer^]]

Jimmy: /* Exercises */

2018-03-10T01:09:10Z

Exercises

← Nächstältere Version		Version vom 10. März 2018, 03:09 Uhr
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	*An exercise description is displayed.		*An exercise description is displayed.
	*Parameter values are adjusted to the respective exercises.		*Parameter values are adjusted to the respective exercises.
	*Click &bdquo;Hide ~~solition~~” to display the solution.		*Click &bdquo;Hide solution” to display the solution.


Zeile 214:		Zeile 214:


	$\hspace{1.0cm}\Rightarrow \hspace{0.3cm} P_{\rm D}\text{ is equal to }P_\varepsilon \text{ when using the ideal matching parameters:} \hspace{0.2cm}k_{\rm M} = 2 \text{ ~~und~~ } \tau_{\rm M}=T_0 - 0.5\ {\rm ms} = 1.5\ {\rm ms}$		$\hspace{1.0cm}\Rightarrow \hspace{0.3cm} P_{\rm D}\text{ is equal to }P_\varepsilon \text{ when using the ideal matching parameters:} \hspace{0.2cm}k_{\rm M} = 2 \text{ and } \tau_{\rm M}=T_0 - 0.5\ {\rm ms} = 1.5\ {\rm ms}$

	$\hspace{1.0cm}\Rightarrow \hspace{0.3cm}z(t) = x(t)\hspace{0.3cm}\Rightarrow \hspace{0.3cm}\varepsilon(t) = 0\hspace{0.3cm}\Rightarrow \hspace{0.3cm}P_{\rm D}\hspace{0.15cm}\underline{ = P_\varepsilon = 0} \hspace{0.3cm}\Rightarrow \hspace{0.3cm}\text{Neither attenuation nor phase distortion.}$		$\hspace{1.0cm}\Rightarrow \hspace{0.3cm}z(t) = x(t)\hspace{0.3cm}\Rightarrow \hspace{0.3cm}\varepsilon(t) = 0\hspace{0.3cm}\Rightarrow \hspace{0.3cm}P_{\rm D}\hspace{0.15cm}\underline{ = P_\varepsilon = 0} \hspace{0.3cm}\Rightarrow \hspace{0.3cm}\text{Neither attenuation nor phase distortion.}$