Question: Consider a LTI discrete-time system with input x[n] and output y[n]. It is known that the impulse response of the system is (a) Determine the

Consider a LTI discrete-time system with input x[n] and output y[n]. It is  known that the impulse response of the system is

sin(л(n — 10)/3) п (п — 10) -,п # 10, h[10] — 1/3. h[n]

(a) Determine the magnitude and phase responses |H(ejω)|and ˆ H(ejω)

(b) Find the output y[n] if x[n] = δ[n ˆ’ 1] + cos(Ï€ n/5), ˆ’ ˆž < n < ˆž.

sin(л(n — 10)/3) п (п — 10) -,п # 10, h[10] — 1/3. h[n]

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