Question

Determine the $z$-transforms of the following causal signals: a. $\sin (\Omega n)$ b. $\delta(n)+\delta(n-1)$ c. $p^n \sin (\Omega n)$ d. $u(n)-u(n-9)$

   Determine the $z$-transforms of the following causal signals:
a. $\sin (\Omega n)$
b. $\delta(n)+\delta(n-1)$
c. $p^n \sin (\Omega n)$
d. $u(n)-u(n-9)$

Audio Signal Processing and Coding

Audio Signal Processing and Coding

Andreas Spanias, Ted… 1st Edition

Chapter 2, Problem 5

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The $z$-transform of a discrete-time signal $x(n)$ is given by: \[ X(z) = \sum_{n=-\infty}^{\infty} x(n) z^{-n} \] For causal signals, $x(n) = 0$ for $n < 0$, so the summation starts from $n = 0$. Show more…

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Determine the $z$-transforms of the following causal signals: a. $\sin (\Omega n)$ b. $\delta(n)+\delta(n-1)$ c. $p^n \sin (\Omega n)$ d. $u(n)-u(n-9)$

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