MATLAB HOMEWORK DUE IN THE MORNING PLEASE HELP QUICKLY! a.) This section of the

Question

MATLAB HOMEWORK DUE IN THE MORNING PLEASE HELP QUICKLY!

a.) This section of the code generates a discrete time signal x[n]. Generate a plot for x[n] and include it in your report. Include the mathematical equation for x[n].

The impulse response for this system is given by h[n]=u[n+8]-u[n-8]. Plot h[n] and include it in your report.

b.) Use the built-in conv() function in MATLAB to obtain y_a[n]=x(n)*h[n]. plot all three signals (x[n],h[n],y_a[n]) on the same figure using the subplot() function. ensure all axes and titles are labeled.

c.) Now, use the built-in conv() function in MATLAB to obtain y_b=h[n]*x[n]. Use subplot() to plot all three signals (x[n],h[n],y_b[n]) on the same figure. Add axis labels and titles to all three plots. In a new figure, use subplot() to plot y_a[n[ and y_b[n] and label the plots.

Are the two signals the same? Give a brief interpretation of your results.

SOMEBODY PLEASE WORK THIS OUT IN MATLAB AND GIVE ME THE CODE, I CANNOT FOR THE LIFE OF ME WORK IT OUT.

Explanation / Answer

CODE :

% Generation of a sinusoidal sequence

n = 0:40;

f = 0.1;

phase = 0;

A = 1.5;

arg = 2*pi*f*n - phase;

x = A*cos(arg);

clf; % Clear old graph

stem(n,x); % Plot the generated sequence axis([0 40 -2 2]);

grid;

title(’Sinusoidal Sequence’);

xlabel(’Time index n’);

ylabel(’Amplitude’);

axis;

% Simulation of an M-point Moving Average Filter

% Generate the input signal

n = 0:100;

s1 = cos(2*pi*0.05*n);   % A low frequency sinusoid

s2 = cos(2*pi*0.47*n);   % A high frequency sinusoid

x = s1+s2;

% Implementation of the moving average filter

M = input(’Desired length of the filter = ’);

num = ones(1,M);

y = filter(num,1,x)/M;

% Display the input and output signals

clf;

subplot(2,2,1);

plot(n,s1);

axis([0, 100, -2, 2]);

xlabel(’Time index n’);   ylabel(’Amplitude’);

title(’Signal # 1’);

subplot(2,2,2);

plot(n,s2);

axis([0, 100, -2, 2]);

xlabel(’Time index n’); ylabel(’Amplitude’);

title(’Signal # 2’);

subplot(2,2,3);

plot(n,x);

axis([0, 100, -2, 2]);

xlabel(’Time index n’); ylabel(’Amplitude’);

title(’Input Signal’);

subplot(2,2,4);

plot(n,y);

axis([0, 100, -2, 2]);

xlabel(’Time index n’); ylabel(’Amplitude’);

title(’Output Signal’);

axis;

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