Consider a linear time-invariant system whose system function is (a) Suppose the system is known to be
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Consider a linear time-invariant system whose system function is
(a) Suppose the system is known to be stable. Determine the output y[n] when the input x[n] is the unit step sequence.
(b) Suppose the region of convergence of H(z) includes z = ?. Determine y[n] evaluated at n= 2 when x[n] is as shown in Figure.
(c) Suppose we wish to recover x[n] from y[n] by processing y[n] with an LTI system whose impulse response is given by hi[n]. Determine hi[n]. Does hi[n] depend on the region of convergence of H(z)?
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Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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