160 lines
4.8 KiB
TeX
160 lines
4.8 KiB
TeX
% Author: Dr. Matthias Jung, DL9MJ
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% Zweiton-/Eintonvergleich: NF, AM, SSB
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%
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% Benötigt:
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% \usepackage{pgfplots}
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% \usepgfplotslibrary{fillbetween}
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% \pgfplotsset{compat=1.18}
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\begin{tikzpicture}
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\pgfplotsset{
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samples=1000,
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every axis/.style={
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height=2.0cm,
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scale only axis,
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width=\linewidth*\getDarcImageFactor,
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axis lines=none,
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ticks=none,
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xmin=0,
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xmax=8.8,
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ymin=-2.1,
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ymax=2.1,
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domain=0:8.8,
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thick,
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smooth,
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no markers,
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title style={
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at={(0,1.02)},
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anchor=south west,
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font=\small
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}
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}
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}
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% normierte Frequenzen
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\pgfmathsetmacro{\fm}{0.70} % Einton-NF, z.B. 700 Hz
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\pgfmathsetmacro{\fa}{0.70} % erster Zweiton, z.B. 700 Hz
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\pgfmathsetmacro{\fb}{1.20} % zweiter Zweiton, z.B. 1200 Hz
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\pgfmathsetmacro{\fc}{7.00} % HF-Träger, nur für Darstellung
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\pgfmathsetmacro{\m}{0.70} % AM-Modulationsgrad
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% ------------------------------------------------------------
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% 1. NF-Eintonsignal
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot1,
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title={1. Nutzsignal NF: Einton},
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at={(0,0)}
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]
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\addplot[DARCred]
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{sin(deg(2*pi*\fm*x))};
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\end{axis}
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% ------------------------------------------------------------
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% 2. AM von 1
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot2,
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title={2. AM von 1: Einton moduliert Trägeramplitude},
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at={(0,-2.8cm)}
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]
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\addplot[name path=amoneupper, draw=none]
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{1 + \m*sin(deg(2*pi*\fm*x))};
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\addplot[name path=amonelower, draw=none]
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{-(1 + \m*sin(deg(2*pi*\fm*x)))};
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\addplot[gray, opacity=0.35]
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fill between[of=amoneupper and amonelower];
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\addplot[thick, black]
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{1 + \m*sin(deg(2*pi*\fm*x))};
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\addplot[thick, black]
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{-(1 + \m*sin(deg(2*pi*\fm*x)))};
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\end{axis}
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% ------------------------------------------------------------
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% 3. SSB von 1
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot3,
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title={3. SSB von 1: eine HF-Linie, konstante Hüllkurve},
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at={(0,-5.6cm)}
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]
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\addplot[name path=ssboneupper, draw=none] {1};
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\addplot[name path=ssbonelower, draw=none] {-1};
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\addplot[gray, opacity=0.18]
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fill between[of=ssboneupper and ssbonelower];
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\addplot[thick, black] {1};
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\addplot[thick, black] {-1};
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\end{axis}
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% ------------------------------------------------------------
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% 4. Zweiton-Nutzsignal
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot4,
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title={4. Zweiton-Nutzsignal NF: z.B. 700 Hz und 1200 Hz},
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at={(0,-8.4cm)}
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]
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\addplot[DARCred]
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{0.5*(sin(deg(2*pi*\fa*x))
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+ sin(deg(2*pi*\fb*x)))};
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\end{axis}
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% ------------------------------------------------------------
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% 5. AM von 4
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot5,
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title={5. AM von 4: Zweiton moduliert Trägeramplitude},
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at={(0,-11.2cm)}
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]
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\addplot[name path=amtwoupper, draw=none]
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{1 + \m*0.5*(sin(deg(2*pi*\fa*x))
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+ sin(deg(2*pi*\fb*x)))};
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\addplot[name path=amtwolower, draw=none]
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{-(1 + \m*0.5*(sin(deg(2*pi*\fa*x))
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+ sin(deg(2*pi*\fb*x))))};
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\addplot[gray, opacity=0.35]
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fill between[of=amtwoupper and amtwolower];
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\addplot[thick, black]
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{1 + \m*0.5*(sin(deg(2*pi*\fa*x))
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+ sin(deg(2*pi*\fb*x)))};
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\addplot[thick, black]
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{-(1 + \m*0.5*(sin(deg(2*pi*\fa*x))
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+ sin(deg(2*pi*\fb*x))))};
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\end{axis}
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% ------------------------------------------------------------
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% 6. SSB von 4
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% ------------------------------------------------------------
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\begin{axis}[
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name=plot6,
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title={6. SSB von 4: zwei HF-Linien mit Schwebung},
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at={(0,-14.0cm)}
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]
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\addplot[name path=ssbtwoupper, draw=none]
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{abs(cos(deg(pi*(\fb-\fa)*x)))};
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\addplot[name path=ssbtwolower, draw=none]
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{-abs(cos(deg(pi*(\fb-\fa)*x)))};
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\addplot[gray, opacity=0.35]
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fill between[of=ssbtwoupper and ssbtwolower];
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\addplot[thick, black]
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{abs(cos(deg(pi*(\fb-\fa)*x)))};
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\addplot[thick, black]
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{-abs(cos(deg(pi*(\fb-\fa)*x)))};
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\end{axis}
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\end{tikzpicture} |