Question

The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the answer below.

Answer 1

Ans)

Assuming that for the given responses underlined element has '0' index i.e for

h[n]=[1 -1 2] index is nh=[-2 -1 0]

x[n]=[2 1 2 3] index is nx=[ -3 -2 -1 0]

the matlab code is

%==================code=============

% [y,ny] = convolution result

% [x,nx] = first signal

% [h,nh] = second signal

%

h=[1 -1 2]; nh=[-2 -1 0];

x=[2 1 2 3]; nx=[-3 -2 -1 0];

nyb = nx(1)+nh(1); nye = nx(length(x)) + nh(length(h));

ny = [nyb:nye]

y = conv(x,h)

%================================

Run Section Aa Normal DI Go To Control B IUM Tex Run and Advance fRefactor Step Stop Find Code Section Break Run Run to End NAVIGATE SECTION TEXT CODE RUN CreateLinePlotExample.mlx 1 % [y,ny] convolution result % [x,nx] first signal % [h,nh] second signal 2 4 % h=[1 -1 2]; nh= [-2 -1 0] X=[2 1 2 31; nx-[-3 -2 -1 0]; index of output nv 1x6 nx(length(x)) nh(length(h) ); nyb nx(1) +nh (1) ; nye = ny [nyb:nye] y conv(x, h) -4 3 -2 1 10 11 y= 1x6 -1 5 3 1 6 Copyright 2015 The MathWorks, Inc. output 567 89gr

the convolution output is

y[n]=[2 -1 5 3 1 6] index  n=[-5 -4 -3 -2 -1 0]