Design of FRM Digital Filters Over the CSD Multiplier Coefficient Space Employing Genetic Algorithms
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Bibliographic record
Abstract
It is well known that the use of canonical signed-digit (CSD) multiplier coefficients in combination with sub-expression sharing and elimination leads to a substantial reduction in the hardware complexity of FIR digital filters. This paper presents a genetic algorithm for the design and optimization of frequency-response masking (FRM) FIR digital filters over the CSD multiplier coefficient space. This is based on designing a corresponding infinite-precision-coefficient digital filter seed (through a conventional continuous optimization), and on quantizing the resulting multiplier coefficients into CSD coefficients via a look-up table. The resulting digital filter is subsequently encoded into a chromosome which is perturbed to form an initial population for the genetic algorithm. The salient feature of the resulting genetic algorithm is that it automatically leads to legitimate CSD-coefficient offspring digital filters after the operations of crossover and mutation, i.e. without any recourse to gene repair. Application to the design of a bandpass FIR digital filter produces a CSD-coefficients digital filter with very close performance to that obtained by the corresponding continuous infinite-precision optimization
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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