I want to make a convolution for two functions

12 次查看(过去 30 天)
Just convolution, Fourier transform for y\(t)

回答(1 个)

Rahul
Rahul 2023-6-5
Hi Aya,
We can use a following code snippet, to first perform operations to get m(t) in time-domain and then get y(t) using inverse fourier transform of the multiplication of fourier transforms of m(t) and h(t), since time-domain convolution is equivalent to frequency-domain multiplication.
% Symbols for time t and frequency w and constant A
syms t w A;
% Value of t has to be of form start:timestep:end, if required
% for substitution later
timeStep = 0.01;
% Expression for h(t)
h = heaviside(t) - heaviside(t - 1/A);
% Expressions for x1(t) and x2(t)
x1 = 0.1*A*sin(2*A*pi*t);
x2 = 1;
% Expression for m(t)
m = x1 + x2;
% Expression for Y(w), fourier transform of y(t)
Y = fourier(m) * fourier(h);
% Expression for final output y(t), inverse fourier transform of Y(w)
y = ifourier(Y, w, t)
You can refer to the fourier (Fourier Transform) or ifourier (Inverse Fourier Transform) function documentation for a better understanding of the above code.
  1 个评论
Aya Emam
Aya Emam 2023-6-5
Hi Rahul
Thanks in advance First if i want to plot y if A=10
second if i want H(w) and X1(w) and X2(w) and Y(w) how to compute it by matlab and draw it and
again again and again thanks in advance

请先登录,再进行评论。

类别

Help CenterFile Exchange 中查找有关 Calculus 的更多信息

产品


版本

R2021a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by