Use the residue method to find the z-transform of the following functions. Check your results by computer. (a) \(E(s) = \frac{20}{(s + 2)(s + 5)}\) (b) \(E(s) = \frac{5}{s(s + 1)}\) (c) \(E(s) = \frac{s + 2}{s(s + 1)}\) (d) \(E(s) = \frac{s + 2}{s^2(s + 1)}\) (e) \(E(s) = \frac{s^2 + 5s + 6}{s(s + 4)(s + 5)}\) (f) \(E(s) = \frac{2}{s^2 + 2s + 5}\)
Added by Julian S.
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Step 1: The z-transform of a discrete-time signal x[n] is given by the formula: \[ X(z) = \sum_{n=0}^{\infty} x[n]z^{-n} \] Show more…
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