CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A Canonic-Signed-Digit-(CSD-) coded genetic algorithm (GA) is proposed to find the optimal design of robustly stable infinite impulse response digital filter (IIR).
Under the characteristics of the CSD structure, the circuit of the filter can be simplified and also the calculation speed can be raised to increase the hardware’s efficiency.
However, the design of CSD has a big challenge: the CSD structure of the system parameters will be destroyed by an optimal design procedure.
To solve this problem, in this research a CSD-coded GA is proposed so that the CSD structure can be maintained.
Moreover, the robustly stable IIR filters design problem is included in this paper.
The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a disk D(α,r) contained in the unit circle, in which α is the center, r is the radius of the disk, and |α|+r<1.
Consequently, in this paper, a new and more efficient D(α,r)-stability criterion will be derived and then embedded in GA for the design of robust IIR filters.
It is worthwhile to note that to design an IIR filter simultaneously with CSD-structured parameters and robust stability is difficult and is not well explored so far.
An example will be presented to show the efficiency of the proposed strategy for design of IIR filters.
American Psychological Association (APA)
Pan, Shing-Tai. 2012. CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001693
Modern Language Association (MLA)
Pan, Shing-Tai. CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1001693
American Medical Association (AMA)
Pan, Shing-Tai. CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001693