- #1

Kurd

- 3

- 0

## Homework Statement

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The 2D Discrete Space Fourier transform (DSFT) X(w1,w2) of the sequence x(n1,n2) is given by

**,**

$$X(w_1,w_2) = 5 + 2j sin(w_2) + cos(w_1) + 2e^{(-jw1-jw2)}$$

determine x(n1,n2)

## Homework Equations

By definition inverse DSFT is,

$$x(n_1,n_2) = \dfrac{1}{(2π)^2} \int_{-π}^{π}\int_{-π}^{π} X(w_1,w_2) e^{(jw_1n_1+jw_2n_2)} dw_1dw_2$$

## The Attempt at a Solution

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I got zero as a final answer.

Solving the double integral for each term I get zero when substituting pi, is it correct or did I made a mistake somewhere, what gets me confused is that when doing DSFT for some simple problem I can get cos(w1) for example but if I did the inverse DSFT I will get zero. can someone help.

Thanks in advance.