(30 Points) Consider the real signal: 1 1 x[n]= n=-3; 7 n=-1;1;3;5 n=0;4 elsewhere 2 0 Let X(w) denote the Fourier trans

[answerhappygod]

30 Points Consider The Real Signal 1 1 X N N 3 7 N 1 1 3 5 N 0 4 Elsewhere 2 0 Let X W Denote The Fourier Trans 1 (49.6 KiB) Viewed 131 times

(30 Points) Consider the real signal: 1 1 x[n]= n=-3; 7 n=-1;1;3;5 n=0;4 elsewhere 2 0 Let X(w) denote the Fourier transform of x[n]. Answer the following questions without explicitly evaluating X(w): a) (3 Points) Sketch x[n] b) (5 Points) Evaluate X(0). c) (4 Points) Find ZX(w). Note that x[n+2] is an even signal. d) (5 Points) Evaluate | X(w)dw. e) (4 Points) Find X(TT). f) (5 Points) Determine and sketch the signal whose Fourier transform is Re{X(w)} 2) (4 Points) Evaluate the following integrals : f[xcußo dw and i lekrone dw dw -