Abstract
This paper proposes a GA-based design method for two-dimensional (2D) state-space digital filters which satisfy simultaneously the magnitude response and constant group delays. The design problem of 2D state-space digital filters is formulated subject to the constraint that the resultant filters are stable. To apply the genetic algorithm to the design problem, all coefficients of 2D state-space digital filters are encoded into the Gray code representation demonstrating the superior performance to the standard binary one. In addition, a stability test routine is embedded in the design procedure in order to ensure the stability for the resultant filters. A numerical example is given to demonstrate the effectiveness of the proposed method.
Original language | English |
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Pages (from-to) | 287-303 |
Number of pages | 17 |
Journal | Journal of Circuits, Systems and Computers |
Volume | 16 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2007 Apr 1 |
Keywords
- 2D digital filters
- Constant group delay
- Genetic algorithm
- Roesser's local state-space model
ASJC Scopus subject areas
- Hardware and Architecture
- Electrical and Electronic Engineering