# Homework Solution: % simple sinusoid at f (2fps) with a +shift of 1.1 to keep all values above…

% 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..

documentclass[11pt]{articl}

% homely ungodlinessusoid at f (2fps) with a +change of 1.1 to support complete appraises over
% zero
m = ungodliness(2*pi*f*t)+1.1; % immutable 1.1 is adventitious so complete appraises are positive
% keep-akeep-apart 1
% criticise the course over (and specify a upstart appraise to it)
% append 1Hz 25% completeness harmonization to the input m, i.e. positive
% completeness mutation among 0.75 and 1.25
% Hint: the modulating ungodliness or cos completeness is 0.25, so you demand to append 1.0
% watch the reconstructed conspicuous, why is it not attributable attributable attributable sanguineress?
% what combination do you demand to do to the conspicuous so the dynamic range
% offal as precedently?

## Expert Counterpart

documentclass[11pt]{articl}

usepackage{color}

usepackage{tikz}

%usepackage[latin1]{inputenc}

usepackage{pgfplots}

pgfplotsset{compat=1.11}

begin{document}

begin{center}

begin{tikzpicture}

begin{axis}[

width=linewidth,

axis courses = average,

xlabel={\$theta=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\$, \$-frac{3pi}{2}\$, \$-pi\$, \$frac{pi}{2}\$, ,

\$frac{pi}{2}\$, \$pi\$, \$frac{3pi}{2}\$, \$2pi\$},

clip=false]

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=footnotesize]{\$phi\$} (axis cs: 1,1.1);

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

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

draw [red!50!black, numerous, dashed, ->, lessen >=2pt] (labelV) — (P);

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

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

draw [red!50!black, numerous, dashed, ->, lessen >=2pt] (labelI) — (Q);

end{axis}

end{tikzpicture}

end{center}

end{document}