On the geometric sequences of reflection coefficients

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Acoustics, Speech, and Signal Processing, volume 38, pages 1,810-1,812 (issn: 0096-3518,

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Authors: David S. Mazel; Jeffrey S. Geronimo; Monson H. Hayes III;

doi: 10.1109/29.60115

On the geometric sequences of reflection coefficients

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Abstract

It is shown that a decaying geometric sequence of reflection coefficients corresponds to a predictor polynomial that has all of its roots on a circle centered at the origin of the complex z plane. It is shown that the radius of this circle is equal to the magnitude of the ratio of any two consecutive terms in the geometric sequence. >

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