Write an integral expression that gives g as a function of f

Assignment Help Electrical Engineering

Reference no: EM13253891

1. Determine whether the system q(x, y) = f(x, - 1) + f(0, y) is

(a) Linear

(b) Shift-invariant

2. Consider the 1-D system whose input-output equation is given by

g(x) = f(x) * f(x) where * denotes convolution

(a) Write an integral expression that gives g(x) as a function of f(x)

(b) Determine whether the system is linear

3. Consider two continuous signals f(x, y) and g(x, y) that are separable, show that their convolution is also separable.

4. Show that the 2-D Fourier transform of the rect function is the sinc function.

Reference no: EM13253891

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