Given a signal x[n] = δ[n] + 2δ[n – 1] + 3δ[n – 2] + 3δ[n – 3] + 2δ[n – 4] + δ[n – 5] + δ[n – 6] + 2δ[n – 7] + 3δ[n – 8], each of the following functions yi[n] can be written as a function of x[n] with time scaling and time shifting; that is, yi[n] = x[ai n + bi]. For each of the following parts, find the parameters ai and bi:
(a) y1[n] = δ[n] + 3δ[n – 1] + δ[n – 2]
(b) y2[n] = 2δ[n] + 3δ[n – 1] + δ[n – 2] + 2δ[n – 3]
(c) y3[n] = 3δ[n – 1] + δ[n – 2] + 3δ[n – 3]
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