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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