State the following DFT properties:

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written 9.0 years ago by

teamques10 ★ 70k

1. Linearity property

Statement: If $x_1(n) \leftarrow FT \rightarrow X_1(\omega) and \ \ x_2(n) \leftarrow FT \rightarrow X_2(\omega)$

then, $a_1x_1(n)+a_2x_2(n) \leftarrow FT \rightarrow a_1 X_1(\omega) + a_2 X_2(\omega)$

Fourier transform of a linear combination of two or more signals is equal to the same linear combination of fourier transform of …

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