Inputs to an ideal low-pass filter with frequency response leil0w H(e) = 3

Inputs to an ideal low-pass filter with frequency response

are given below. Find the corresponding outputs y_i[n] i = 1, 2, 3.

(a) x₁ [n] = 1+cos(0.3Ï€n) + 23 sin(0.7Ï€n), ˆ’ ˆž < n < ˆž .

(b) x₂ [n] = δ[n] + 2δ[n ˆ’ 4].

(c) x₃ [n] has DTFT X(e^jω) = H(e^jω/2).

Transcribed Image Text:

leil0w H(e") = 3<ω< else in-π < ω π HΙα