Problem 1: Knowing the Fourier transform pair as follows: Using Fourier transform to solve the time domain signal, y(t) = sinc(t) * e^(-3sinc(t)) is the operator of convolution.
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The Fourier transform of sinc(t) is given by: F{sinc(t)} = rect(f) The Fourier transform of e^(-3sinc(t)) can be found using the property of the Fourier transform of a function multiplied by a complex exponential. Let's denote e^(-3sinc(t)) as g(t). Then, we Show more…
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