Question

Please provide MATLAB code and plot, about system response. Will thumbs up. Thanks.

Question 1: MATLAB contains a built-in function called conv which performs the convolution of two vectors: >> help conv conv Convolution and polynomial multiplication. C - conv(A, B) convolves vectors A and B. The resulting vector is length MAX ([LENGTH (A)+LENGTH (B)-1, LENGTH(A),LENGTH (B) 1) If A and B are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. Compute the system response (using the input signal x[n] given below) by convolving H[n] and x[n] using the MATLAB conv function. Plot the response using stem Input signal for Question 1 0.9 0.8 0.7 0.6 S 0.5 0.4 0.3 0.2 0 0 2 3 4 6 8 Figure 4: Input signal to be used to determine system response.

Answer 1

MATLAB CODE

x=input('Enter x');
h=input('Enter h');
Y=conv(x,h);% convoltion of x and h
figure()
subplot(2,2,1) % to create 4 by 4 grid
stem(x); % for plotting
title('Plot of x[n]')
xlabel('n');
ylabel('x');
subplot(2,2,3)
stem(h);
title('Plot of h[n]')
xlabel('n');
ylabel('h(n)');
subplot(2,2,4)
stem(y);
title('Convolution of x and h')
xlabel('n');
ylabel('y(n)');
disp(y);

Untitled2.mx x-input (Enter x') h=input ( 'Enter h' ) ; Y=conv(x, h);% convoltion of x and h figure () subplot (2,2,1) % to create 4 by 4 grid stem (x); % for plotting title ('Plot of x[n]') xlabel ('n ylabel ( ' x' ) ; subplot (2,2,3) stem (h); title ("Plot of h[n]') xlabel ('n ylabel ('h(n) ') subplot (2,2,4) stem (y) title ("Convolution of x and h') xlabel ('n ylabel ('y (n)' disp (y) 0

Command Window New to MATLAB? Watch this Video, see Examples, or read Getting Started. Enter x[o1 l 1 0 0 0 0 0 01 Enter hll 2 3] Convolution of x and h 0 0 x >

Figure 2 File Edit View Insert Tools Desktop Window Help Plot of x[n] 0.5 10 Plot of h[n] Convolution of x and h 4 1 1.5 2 2.53 10 15