Let X(e j ) denote the Fourier transform of the signal x[n] shown in Figure. Perform the

Let X(e^jω) denote the Fourier transform of the signal x[n] shown in Figure. Perform the following calculations without explicitly evaluating X(e^jω):

(a) Evaluate X(e^jω)|_ω=0.

(b) Evaluate X(e^jω)|_ω=π.

(c) Find

(d) Evaluate

(e) Determine and sketch the signal whose Fourier transform is X(e^-jω)

(f) Determine and sketch the signal whose Fourier transform is Re{X(e^jω)}.

Transcribed Image Text:

x[n] 8. -2 -1 0 1 2 3 4 5 6 -1 -1