# Problem 2.4 Find and sketch the Fourier transforms for the following signals.(a) u(t) = (1 – |t)4-1,1j().(b) v(t) = sinc(2t )sinc(4r).(c) s(t) = v(t) cos(200r t).(d) Classify each of the signals in (a)–(c) as baseband or passband.

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Step 1

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(a).

The expression for the function is given as:

Step 2

Sketching the graph for the above function:

Step 3

The above signal is the baseband signal and can also be represented in the form of triangular function.

Now evaluating the Fourier transform using its property:

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