1. Obtain the z transforms of the following signals form the definition (do not use the Table). For continuous-time signals, assume the signal is sampled with the sampling period T. a. x[0] = 2,x[1] = −1,x[3] = 5, x[4] = 1, while all other samples are zero. (3k+2 b. x[k] = when k ≥1 when k < 1 c. x[k] = k 1[k] d. x(t) eat cos (bt) = Hint: x[k] → -z (x(z)) Hint: Euler's formula, cos() = (e + e ̄j)

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