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首页> 外文期刊>Journal of Computers >Optimization of FRM FIR Digital Filters Over CSD and CDBNS Multiplier Coefficient Spaces Employing a Novel Genetic Algorithm
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Optimization of FRM FIR Digital Filters Over CSD and CDBNS Multiplier Coefficient Spaces Employing a Novel Genetic Algorithm

机译：采用新型遗传算法的CSD和CDBNS乘法系数空间优化FRM FIR数字滤波器

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—It is well known that frequency response masking (FRM) FIR digital filters can be designed to exhibit very sharp-transition bands at the cost of slightly larger filter lengths as compared to the conventional FIR digital filters. The FRM FIR digital filters permit efficient hardware implementations due to an inherently large number of zerovalued multiplier coefficients in their transfer functions. The hardware complexity of these FIR digital filters can be further reduced by employing computationally efficient number systems for the representation of the constituent non-zerovalued multiplier coefficients. This paper presents a novel genetic algorithm for the design and discrete optimization of FRM FIR digital filters over the conventional canonical signed-digit (CSD) as well as the emerging double base number system (DBNS) multiplier coefficient spaces. This genetic algorithm is based on a pair of indexed look-up tables (LUTs) of permissible CSD/DBNS numbers whose indices form a closed set under the genetic algorithm operations of crossover and mutation. The CSD/DBNS values themselves permit pre-specified wordlengths and pre-specified number of non-zero bits. The salient feature of the proposed genetic algorithm is that it automatically leads to legitimate CSD/DBNS multiplier coefficients without any recourse to gene repair during optimization. The main features of the proposed genetic algorithm are demonstrated through its application to the design of a pair of lowpass and bandpass FRM FIR digital filters.
机译：- 众所周知，与传统的FIR数字滤波器相比，频率响应掩蔽（FRM）FIR数字滤波器可以设计成以稍大的滤波器长度的成本表现出非常尖锐的转换带。 FRM FIR数字滤波器由于其传输函数中固有的大量ZerAlivalued乘数系数而允许有效的硬件实现。通过采用用于构成非zerovalue乘法系数的表示的计算的计算有效数字系统，可以进一步减少这些FIR数字滤波器的硬件复杂性。本文提出了一种新的遗传算法，用于通过传统的规范签名 - 数字（CSD）以及新出现的双基数系统（DBNS）乘数系数空间设计和离散优化FRM FIR数字滤波器的设计和离散优化。该遗传算法基于允许的CSD / DBNS编号的一对索引查找表（LUTS），其索引在交叉和突变的遗传算法操作下形成闭合集。 CSD / DBNS值本身允许预先指定的WordLength和预指定数量的非零位。所提出的遗传算法的突出特征是它自动导致合法的CSD / DBN倍增器系数，而无需在优化期间求助于基因修复。通过其应用于设计了一对低通和带通FIR数字滤波器的设计，证明了所提出的遗传算法的主要特征。

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