The following three things are known about a signal x[n] with z-transform X(z): (i) x[n] is real
Question:
The following three things are known about a signal x[n] with z-transform X(z):
(i) x[n] is real valued and minimum phase,
(ii) x[n] is zero outside the interval 0 ≤ n ≤ 4,
(iii) X(z) has a zero at z = ½ ejπ/4 and a zero at z = ½ ej3π/4. Based on this information, answer the following questions:
(a) Is X(z) rational? Justify your answer.
(b) Sketch the complete pole-zero plot for X(z) and specify its ROC.
(c) if y[n] * x[n] = δ[n] and y[n] is right sided, sketch the pole-zero plot for Y(z) and specify its ROC.
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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