Consider a causal linear time-invariant system with system function where ? is real. (a) Write the difference
Question:
Consider a causal linear time-invariant system with system function where ? is real.
(a) Write the difference equation that relates the input and the output of this system.
(b) For what range of values of ? is the system stable?
(c) For ? = ?, plot the pole-zero diagram and shade the region of convergence.
(d) Find the impulse response h[n] for the system.
(e) Show that the system is an all-pass system, i.e., that the magnitude of the frequency response is a constant. Also, specify the value of the constant.
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a Cross multiplying and taking the inverse tran...View the full answer
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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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