Applets:Physical Signal & Equivalent Lowpass Signal - Versionsgeschichte

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“

2025-02-24T09:43:33Z

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“

Höfler am 26. Oktober 2023 um 09:38 Uhr

2023-10-26T09:38:58Z

Tasnad am 1. April 2021 um 14:10 Uhr

2021-04-01T14:10:25Z

Tasnad am 9. Juni 2020 um 20:04 Uhr

2020-06-09T20:04:48Z

Tasnad am 9. Juni 2020 um 19:57 Uhr

2020-06-09T19:57:17Z

Guenter am 29. August 2018 um 13:46 Uhr

2018-08-29T13:46:45Z

Guenter am 29. August 2018 um 10:47 Uhr

2018-08-29T10:47:44Z

Änderungen zeigen

Guenter am 29. August 2018 um 10:13 Uhr

2018-08-29T10:13:42Z

Xiaohan: /* $x_{\rm TP}(t)$–Representation of a Sum of Three Harmonic Oscillations */

2018-08-28T14:10:56Z

$x_{\rm TP}(t)$–Representation of a Sum of Three Harmonic Oscillations

Xiaohan: /* Applet Manual */

2018-08-28T09:33:48Z

Applet Manual

@@ Zeile 256: / Zeile 256: @@
 ==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/ Technical University of Munich] .
-*The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Ji_Li_.28Bachelorarbeit_EI_2003.2C_Diplomarbeit_EI_2005.29|Ji Li]] as part of her Diploma thesis using  &bdquo;FlashMX&ndash;Actionscript&rdquo; (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#Ji_Li_.28Bachelorarbeit_EI_2003.2C_Diplomarbeit_EI_2005.29|Ji Li]] as part of her Diploma thesis using  &bdquo;FlashMX&ndash;Actionscript&rdquo; (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&rdquo; by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] as part of her 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]]).

@@ Zeile 257: / Zeile 257: @@
 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/ Technical University of Munich] .
 *The original version was created in 2005 by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Ji_Li_.28Bachelorarbeit_EI_2003.2C_Diplomarbeit_EI_2005.29|Ji Li]] as part of her Diploma thesis using  &bdquo;FlashMX&ndash;Actionscript&rdquo; (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&rdquo; by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] as part of her 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&rdquo; by [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] as part of her 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==
 {{LntAppletLinkEn|physAnLPSignal_en}}

← Nächstältere Version		Version vom 1. April 2021, 14:10 Uhr
Zeile 262:		Zeile 262:

	{{LntAppletLinkEn\|physAnLPSignal_en}}		{{LntAppletLinkEn\|physAnLPSignal_en}}
−
−	~~[[Category:Applets\|^Verzerrungen^]]~~

@@ Zeile 1: / Zeile 1: @@
-{{LntAppletLinkEn|physAnTPSignal}}
+{{LntAppletLinkEn|physAnLPSignal_en}}
 ==Applet Description==
@@ Zeile 261: / Zeile 261: @@
 ==Once again: Open Applet in new Tab==
-{{LntAppletLinkEn|physAnTPSignal}}
+{{LntAppletLinkEn|physAnLPSignal_en}}
 [[Category:Applets|^Verzerrungen^]]

@@ Zeile 1: / Zeile 1: @@
-{{LntAppletLinkEn|analPhysSignal}}
+{{LntAppletLinkEn|physAnTPSignal}}
 ==Applet Description==
@@ Zeile 261: / Zeile 261: @@
 ==Once again: Open Applet in new Tab==
-{{LntAppletLinkEn|physAnSignal}}
+{{LntAppletLinkEn|physAnTPSignal}}
 [[Category:Applets|^Verzerrungen^]]

@@ Zeile 105: / Zeile 105: @@
 The constellation given here results, for example, in the [[Modulationsverfahren/Zweiseitenband-Amplitudenmodulation#AM-Signale_und_-Spektren_bei_harmonischem_Eingangssignal|double sideband amplitude modulation]] of the message signal $x_{\rm N}(t) = A_{\rm N}\cdot \cos\left(2\pi f_{\rm N}\cdot t- \varphi_{\rm N}\right)$ with the carrier signal $x_{\rm T}(t) = A_{\rm T}\cdot \cos\left(2\pi f_{\rm T}\cdot t - \varphi_{\rm T}\right)$. This is discussed frequently in the exercises.
-[[Datei:Zeigerdiagramm_abzug4.png|center|frame|Spectrum $X_{\rm TP}(f)$ of the equivalent low&ndash;pass signal for different phase constellations |class=fit]]
+[[Datei:Ortskurve_5.png|center|frame|Spectrum $X_{\rm TP}(f)$ of the equivalent low&ndash;pass signal for different phase constellations |class=fit]]
 There are some limitations to the program parameters in this approach:

@@ Zeile 3: / Zeile 3: @@
 ==Applet Description==
 <br>
-This applet shows the relationship between the physical bandpass signal $x(t)$ and the associated equivalent low-pass signal $x_{\rm TP}(t)$. It is assumed that the bandpass signal $x(t)$ has a frequency-discrete spectrum $X(f)$:
+This applet shows the relationship between the physical bandpass signal $x(t)$ and the associated equivalent lowpass signal $x_{\rm TP}(t)$. It is assumed that the bandpass signal $x(t)$ has a frequency-discrete spectrum $X(f)$:
 :$$x(t) = x_{\rm U}(t) + x_{\rm T}(t) + x_{\rm O}(t) = A_{\rm U}\cdot \cos\left(2\pi f_{\rm U}\cdot t- \varphi_{\rm U}\right)+A_{\rm T}\cdot \cos\left(2\pi f_{\rm T}\cdot t- \varphi_{\rm T}\right)+A_{\rm O}\cdot \cos\left(2\pi f_{\rm O}\cdot t- \varphi_{\rm O}\right). $$
 The physical signal $x(t)$ is thus composed of three harmonic oscillations, a constellation that can be found, for example, in the ''Double-sideband Amplitude Modulation''
@@ Zeile 14: / Zeile 14: @@
 *Similarly, for the &bdquo;lower sideband&rdquo; &nbsp; (in German: &nbsp; '''U'''nteres Seitenband) $x_{\rm U}(t)$ with $f_{\rm U} = f_{\rm T} - f_{\rm N}$, $A_{\rm U}= A_{\rm O}$ and $\varphi_{\rm U} = -\varphi_{\rm O}$.
-The associated equivalent low-pass&ndash;signal is $f_{\rm O}\hspace{0.01cm}' = f_{\rm O}- f_{\rm T} > 0$, &nbsp; $f_{\rm U}\hspace{0.01cm}' = f_{\rm U}- f_{\rm T} < 0$ &nbsp;and &nbsp;$f_{\rm T}\hspace{0.01cm}' =  0$:
 :$$x_{\rm TP}(t) = x_\text{TP, T}(t) + x_\text{TP, O}(t) + x_\text{TP, U}(t) = A_{\rm T}\cdot {\rm e}^{-{\rm j} \varphi_{\rm T} } \hspace{0.1cm}+ \hspace{0.1cm} A_{\rm O}\cdot {\rm e}^{-{\rm j} \varphi_{\rm O} } \cdot {\rm e}^{ {\rm j}\hspace{0.05cm}\cdot \hspace{0.05cm}2\pi \hspace{0.05cm}\cdot \hspace{0.05cm}f_{\rm O}\hspace{0.01cm}'\hspace{0.05cm}\cdot \hspace{0.05cm}t}\hspace{0.1cm}+ \hspace{0.1cm}
@@ Zeile 31: / Zeile 32: @@
-''Note:'' &nbsp; In the figure $\varphi_{\rm O} = +30^\circ$. From this follows for the start time $t=0$ the angle of the blue pointer (USB, blue pointer)  with respect to the coordinate system: &nbsp; $\phi_{\rm O} = -\varphi_{\rm O} = -30^\circ$. Likewise, the zero phase position $\varphi_{\rm U} = -30^\circ$ of the lower sideband (LSB, green pointer) follows for the phase angle to be considered in the complex plane: &nbsp; $\phi_{\rm U} = +30^\circ$.
+''Note:'' &nbsp; In the figure $\varphi_{\rm O} = +30^\circ$. From this follows for the start time $t=0$ the angle of the upper sideband (OSB, blue pointer)  with respect to the coordinate system: &nbsp; $\phi_{\rm O} = -\varphi_{\rm O} = -30^\circ$. Likewise, the zero phase position $\varphi_{\rm U} = -30^\circ$ of the lower sideband (USB, green pointer) follows for the phase angle to be considered in the complex plane: &nbsp; $\phi_{\rm U} = +30^\circ$.
-The temporal process of $x_{\rm TP}(t)$ is also referred to below as '''locus'''. The relationship between $x_{\rm TP}(t)$ and the physical bandpass signal $x(t)$ is given in the section and the associated analytic signal is $x_+(t)$ :
+The temporal process of $x_{\rm TP}(t)$ is also referred to below as &bdquo;locus&rdquo;. The relationship between $x_{\rm TP}(t)$ and the physical bandpass signal $x(t)$ is given in the section and the associated analytic signal is $x_+(t)$ :
 :$$x_{\rm TP}(t) = x_{\rm +}(t)\cdot {\rm e}^{-{\rm j} \hspace{0.05cm}\cdot \hspace{0.05cm}2 \pi \cdot f_{\rm T}\cdot \hspace{0.05cm}t},$$
@@ Zeile 54: / Zeile 55: @@
 Beside the physical signal $x(t)\ \circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \ X(f)$, one can also use the following descriptions of bandpass signals:
-*the analytic signal $x_+(t)\ \circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \ X_+(f)$, see applet [[Applets:Physikalisches_Signal_%26_Analytisches_Signal|Physikalisches Signal & Analytisches Signal]],
+*the analytic signal $x_+(t)\ \circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \ X_+(f)$, see applet [[Applets:Physical_Signal_%26_Analytic_Signal|Physical Signal & Analytic Signal]],
 *the equivalent low-pass&ndash;signal $x_{\rm TP}(t)\ \circ\!\!-\!\!\!-\!\!\!-\!\!\bullet\, \ X_{\rm TP}(f)$, see next page
 <br><br>

@@ Zeile 240: / Zeile 240: @@
 &nbsp; &nbsp; '''(H)''' &nbsp; &nbsp; Variations for the graphical representation
-$\hspace{1.5cm}$Zoom&ndash;Functions &bdquo;$+$&rdquo; (Enlarge), &bdquo;$-$&rdquo; (Decrease) und $\rm o$ (Reset to default)
+$\hspace{1.5cm}$Zoom&ndash;Functions &bdquo;$+$&rdquo; (Enlarge), &bdquo;$-$&rdquo; (Decrease) and $\rm o$ (Reset to default)
 $\hspace{1.5cm}$Move with &bdquo;$\leftarrow$&rdquo; (Section to the left, ordinate to the right),  &bdquo;$\uparrow$&rdquo; &bdquo;$\downarrow$&rdquo; &bdquo;$\rightarrow$&rdquo;