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A new z - domain continued fraction expansion and its use in the generation of stable transfer functions

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A new z - domain continued fraction expansion and its use in the generation of stable transfer functions

Luo, Ling (2003) A new z - domain continued fraction expansion and its use in the generation of stable transfer functions. Masters thesis, Concordia University.

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Abstract

A new z -domain continued fraction expansion ( CFE ) has been proposed. It is shown that the ratio of an anti-mirror-image polynomial to a mirror-image polynomial originating from the denominator of a transfer function can be expanded into this new type of z -domain CFE . Unlike the earlier types of z -domain continued fraction expansions, this new type is not unique for a given polynomial, and there will be a large number of possibilities. Algorithms have been proposed to obtain the various possible CFEs , which are implemented using MATLAB software. For the denominators of some well-known filters like Butterworth lowpass filters, Butterworth lowpass Complementary Pole-pair Filters (CPPF) and Chebyshev lowpass filters, the required coefficients of the CFEs are obtained. Also, starting from the coefficients of the CFEs , algorithms have been presented to generate stable transfer functions for filters such as lowpass, highpass and bandpass in the z -domain.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Thesis (Masters)
Authors:Luo, Ling
Pagination:x, 102 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.A.Sc.)
Program:Electrical and Computer Engineering
Date:2003
Thesis Supervisor(s):Ramachandran, Venkat
ID Code:2277
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:26
Last Modified:08 Dec 2010 10:25
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