% simple sinusoid at f (2fps) with a +shift of 1.1 to keep all values above % ze

Question

% simple sinusoid at f (2fps) with a +shift of 1.1 to keep all values above
% zero
m = sin(2*pi*f*t)+1.1; % constant 1.1 is added so all values are positive
% part 1
% comment the line above (and assign a new value to it)
% add 1Hz 25% amplitude modulation to the input m, i.e. positive
% amplitude variation between 0.75 and 1.25
% Hint: the modulating sin or cos amplitude is 0.25, so you need to add 1.0
% observe the reconstructed signal, why is it not correct?
% what adjustment do you need to do to the signal so the dynamic range
% remains as before?
% insert your code here..

Explanation / Answer

documentclass[11pt]{articl}

usepackage{color}

usepackage{tikz}   

%usepackage[latin1]{inputenc}

usepackage{pgfplots}

pgfplotsset{compat=1.11}

egin{document}

egin{center}

egin{tikzpicture}

egin{axis}[

width=linewidth,

trig format plots=rad,

axis lines = middle,

xlabel={$ heta=wt$},

xlabel style={at={(1,0.5)},anchor=west},

enlargelimits,

ytick={empty},

extra y ticks={1,0.5,0,-0.5,-1},

extra y tick labels={$V_m$,$I_m$,0,$-I_m$,$-V_m$},

xtick={-6.28318, -4.7123889, ..., 6.28318},

xticklabels={

$-2pi$, $-rac{3pi}{2}$, $-pi$, $rac{pi}{2}$, ,

$rac{pi}{2}$, $pi$, $rac{3pi}{2}$, $2pi$},

clip=false]

ddplot[domain=-2*pi:2*pi,samples=200, red] {0.5*sin(x)};

ddplot[domain=-2*pi:2*pi,samples=200, blue, dashed] {sin(x-2)};

draw[dotted,blue!40] (axis cs: 0,1.1) -- (axis cs: 0,0);

draw[dotted,red!40] (axis cs: 1,1.1) -- (axis cs: 1,0);

draw[dashed,olive,<->] (axis cs: 0,1.1) --

node[above,text=black,font=ootnotesize]{$phi$} (axis cs: 1,1.1);

coordinate (P) at (axis cs:1.5*pi,{sin(25)});

ode (labelV) at (axis cs:2*pi,{1+sin(2*pi)}) {Voltage $(V)$};

draw [red!50!black, thick, dashed, ->, shorten >=2pt] (labelV) -- (P);

coordinate (Q) at (axis cs:-1.5*pi,{sin(30)});

ode (labelI) at (axis cs:-2*pi,{1+sin(2*pi)}) {Current $(I)$};

draw [red!50!black, thick, dashed, ->, shorten >=2pt] (labelI) -- (Q);

end{axis}

end{tikzpicture}

end{center}

end{document}

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