2D Signal Properties of Fourier Transformation I was asked this question below. I have to match i-v to a-j (matching could be one to many or many to one) and i should prove the matchings. If conjugation is not made, i can assume that h(n1,n2) is real. How can i start solving this question?

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2D Signal Properties of Fourier Transformation  I was asked this question below.   I have to match i-v to a-j (matching could be one to many or many to one) and i should prove the matchings.   If conjugation is not made, i can assume that h(n1,n2)  is real.   How can i start solving this question?

chicasdelperuszp · Accepted Answer

HINT You have to take the DTFT of each side and match. For example (i)  DTFT{−h⋅[n1,n2]}=∑n1=−∞∞∑n2=−∞∞−h⋅[n1,n2]e−i(n1ω1+n2ω2)  =−[∑n1=∞∞∑n2=−∞∞h[n1,n2]ei(n1ω1+n2ω2)]*  =−[∑n1=∞∞∑n2=−∞∞h[n1,n2]e−i|n1(−ω1)+n2(−ω2)|]⋅  =−[H(−ω1,−ω2)]⋅  =−H⋅(−ω1,−ω2)

2D Signal Properties of Fourier Transformation I was asked this question below. I have to m

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