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Solving difference equation using DFT

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Vishwajith K
Vishwajith K on 22 Apr 2020
Answered: Priyanshu Mishra on 2 May 2020
How to find output of a difference equation when input is given (and DFT must be used to solve it)?
Say y (n) = x (n) + 2 x (n –1) –4 y (n –1) + y (n –2)
and x (n) = [1, 2, 3, 4, 4, 3, 2, 1]
any MATLAB code reference?

Answers (1)

Priyanshu Mishra
Priyanshu Mishra on 2 May 2020
Hi Vishwajit,
You may use the following code for your reference to solve above difference equation
N = 8;
a = [1 4 -1];
b = [1 2];
x = [1 2 3 4 4 3 2 1]
y = filter(b, a, x)
stem(0:N-1,y);

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