Prove that a FIR filter with system function and reflection coefficients |Kk| < 1 for 1 k

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Prove that a FIR filter with system function
and reflection coefficients |Kk| < 1 for 1 ≤ k ≤ p – 1 and |Kp| > 1 is maximum phase [all the roots of Ap(z) lie outside the unit circle].

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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Question Posted: May 26, 2011 02:59 AM

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Prove that a FIR filter with system function and reflection coefficients |Kk| < 1 for 1 k

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Ap2 Ap12 kpBp12 2 where B12 is the reverse polynomial of Ap12 For kp1 we have all the ...View the full answer

Digital Signal Processing

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