Perform convolution between the two given signals 𝑥(𝑡) = 5 cos 𝑡 and ℎ(𝑡) = 2𝑒 −|𝑡| . Verify the same using MATLAB.

2 次查看（过去 30 天）
Savitha S
Savitha S 2022-1-26
回答： Kautuk Raj 2023-6-2
How to perform convolution.
  1 个评论
Steven Lord
Steven Lord 2022-1-26
This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.
If you aren't sure where to start because you're not familiar with how to write MATLAB code, I suggest you start with the free MATLAB Onramp tutorial (https://www.mathworks.com/support/learn-with-matlab-tutorials.html) to quickly learn the essentials of MATLAB.
If you aren't sure where to start because you're not familiar with the mathematics you'll need to solve the problem, I recommend asking your professor and/or teaching assistant for help.

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回答（1 个）

Kautuk Raj
Kautuk Raj 2023-6-2
To perform convolution between the two given signals x(t) = 5cos(t) and h(t) = 2e^(-|t|), we can use the following steps:
  1. Define the time range over which to evaluate the signals using the t variable.
  2. Define the signals x and h as functions of t.
  3. Use the conv function to compute the convolution of x and h.
The MATLAB code to implement these steps:
% Define the time range over which to evaluate the signals
t = -10:0.01:10;
% Define the signals x and h
x = 5*cos(t);
h = 2*exp(-abs(t));
% Compute the convolution of x and h using the conv function
y = conv(x, h, 'same') * 0.01;
% Plot the signals x, h, and y
subplot(3, 1, 1);
plot(t, x);
title('Signal x(t) = 5cos(t)');
xlabel('Time (s)');
ylabel('Amplitude');
subplot(3, 1, 2);
plot(t, h);
title('Signal h(t) = 2e^{-|t|}');
xlabel('Time (s)');
ylabel('Amplitude');
subplot(3, 1, 3);
plot(t, y);
title('Convolution y(t) = x(t) * h(t)');
xlabel('Time (s)');
ylabel('Amplitude');
And this is the output:

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