Let h(t) = 10 sinc(10t) and x(t) = 10 sinc2(10t). Let y(t) be the convolution of h(t) and x(t), i.e., y(t) = h(t) * x(t).
a) Find the Fourier transform H(f) of h(t).
(b) Find the Fourier transform X(f) of x(t).
(c) Find the Fourier transform Y(f) of y(t).
(d) Find y(t) by taking the inverse Fourier transform of Y(f).
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Fill in the blank(s) with the appropriate word(s).
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Answer the following statement true (T) or false (F)