The analog signal we have is st 1sin300pitcos200pit 1 Gener

The analog signal we have is: s(t) = 1+sin(300*pi*t)+cos(200*pi*t).

1. Generate the signal s(t) in Matlab

2. Find the bandwidth of s(t). Sample s(t) at twice the Nyquist rate and obtain a discrete-time sequence {s(k)}

I need help with the code for Matlab, and some explaination on it

Solution

tf=0.05;

t=0:0.00005:tf;

xt=1+sin(300*pi*t)+cos(200*pi*t);

subplot(2,1,1);

plot(t,xt);

title(\' continuous plot of the signal\');

% Nyquist sampling when sampling frequency fs=2f , f the highest frequency component in the signal

fs=2*150;

n1=0:1/n1:tf;

xn=1+sin(300*pi*n1)+cos(200*pi*n1);

subplot(2,1,2);

stem(n1,xn);

title(\' discrete plot of the signal in Nyquist rate\');

N.B. the Nyquist sampling frequecy is twice the frequency that contents in the signal. Here the given signal comprises of two sinusoidal component. one component has a frequency of 150Hz and the other has 100. sampling frequecny is made on highest frequency content in the signal. so the highest frequency in the signal is 300*pi*t=2*pi*f*t

or f=150Hz

so in Nyquist sampling frequency will be,

fs=2*f=300Hz

and the Nyquist sampling rate will be 1/fs=n1

tf is the range in time in which you want to plot the signal.