Consider the signal x(t) = delta(t + l)+delta(t – 1). Find its Fourier transform X(Ohm). Determine if x(t) is band-limited or not. If band-limited, give its maximum frequency. Filtering x(t) with a filter of magnitude H(j Ohm) = u(Ohm + 1) – u(Ohm – 1) and zero phase the output is y(t). Is y(t) band-limited? If so, what is its maximum frequency. Obtain an expression for y(t), is it time-limited? Answers: X(Ohm) = 2cos(Ohm); y(t) is not time-limited.

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