Question

sin(r(n-18/6) r(n-18) n#18 if Consider an LTI discrete-time system that has impulse response h[n] = if otherwise a) Determine the magnitude lH(Q)I and the phase response LH(Q) for-r < Ω < π. Enter Ω as "O" and enter the piecewise function H(S2) using the heaviside function. IH(Q)| = LH(S2) = b) Determine the output of the system, y[n], if the input is given by x[n] = δ[n-71+ cos(쮜. Enter your answer in terms of h[n]. y[n] = In your answers, enter z(n) for a discrete-time function z[n]. WebWork is unable to parse a function that uses square brackets.

Answer 1

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a) Given n 18 him I = ( sinal (n-18) (6) el 16 Ti (n-18) n=18 We know that nstorm sinan I rect (wa) Tin xn-no] eft ejuno xierw) Applying fourier transform Hesw) = ewis rect ( w z eztule rect was The Celay = rect content - en fed +7]-uger] Heein) - gucie) sh -7116 16 or

Given x [n] = b[n–1] + Cos (9) for a sinusoidal signal, the steady state output XCH): cowon] yan] - Ihlesw.)) cos (wont (Hetero) | Hlejna))= Hledala) = -1947,- -275 Y[n] = cos(667 so output for a[n] = 8(n=7] + Costum) is Y [n] = n5n-1]+ o. cos (10-27) = n(n=7]. - Costumes in th (n) #sln rem no