If the Fourier transform of the function f(x, y) is F(m, n), then the Fourier transform of the function…
For the continuous 2D Fourier transform, substituting u=2x, v=2y contributes Jacobian 1/4 and halves both frequency arguments. Thus F{f(2x,2y)}=(1/4)F(m/2, n/2).
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If the Fourier transform of the function f(x, y) is F(m, n), then the Fourier transform of the function f(2x, 2y) is :
Answer and explanation
Correct answer A
For the continuous 2D Fourier transform, substituting u=2x, v=2y contributes Jacobian 1/4 and halves both frequency arguments. Thus F{f(2x,2y)}=(1/4)F(m/2, n/2).
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UGC NET Computer Science and Applications