FRM-Based FIR Filters With Optimum Finite Word-Length Performance
FRM-Based FIR Filters With Optimum Finite Word-Length Performance
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DOI：
10.1109/tsp.2007.893965
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发表时间：
2007-06
影响因子：
5.4
通讯作者：
Y. Lim;Y. Yu;K. Teo;T. Saramäki
中科院分区：
文献类型：
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作者：
Y. Lim;Y. Yu;K. Teo;T. Saramäki
众所周知，使用频率响应掩蔽（FRM）技术设计的滤波器具有非常稀疏的系数。使用FRM技术设计的数字滤波器的非平凡系数的数量是只有一个非常小的一部分，满足相同的规格集的最小最大优化设计。用FRM技术设计的数字滤波器是由多个子滤波器组成的网络。已经开发了几种方法来优化子滤波器。最早的方法分别优化子滤波器，并产生一个网络的子滤波器具有良好的有限字长的性能。随后的技术优化子滤波器联合和生产过滤器显着更少的非平凡系数。不幸的是，这些仅优化整体频率响应特性的联合优化技术可能产生具有不期望的有限字长特性的滤波器。同时优化频率响应和有限字长特性的FRM滤波器的设计在文献中还没有报道。在本文中，我们开发了几种新的优化方法，包括有限字长的整体过滤器到优化过程中的属性。这些新方法产生的滤波器具有优良的有限字长性能，几乎没有降低频率响应性能
It is well known that filters designed using the frequency response masking (FRM) technique have very sparse coefficients. The number of nontrivial coefficients of a digital filter designed using the FRM technique is only a very small fraction of that of a minimax optimum design meeting the same set of specifications. A digital filter designed using FRM technique is a network of several subfilters. Several methods have been developed for optimizing the subfilters. The earliest method optimizes the subfilters separately and produces a network of subfilters with excellent finite word-length performance. Subsequent techniques optimize the subfilters jointly and produce filters with significantly smaller numbers of nontrivial coefficients. Unfortunately, these joint optimization techniques, that optimize only the overall frequency response characteristics, may produce filters with undesirable finite word-length properties. The design of FRM-based filters that simultaneously optimizes the frequency response and finite word-length properties had not been reported in the literatures. In this paper, we develop several new optimization approaches that include the finite word-length properties of the overall filter into the optimization process. These new approaches produce filters with excellent finite word-length performance with almost no degradation in frequency response performance