近线性相位二维IIR数字滤波器的非线性优化设计算法

Signals Pub Date : 2023-08-02 DOI:10.3390/signals4030030
A. Omar, D. Shpak, P. Agathoklis, B. Moa
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引用次数: 0

摘要

本文提出了一种设计具有可分离分母的近似线性相位二维无限脉冲(2DIIR)数字滤波器的新的优化方法。2D IIR数字滤波器的设计框架被公式化为一个非线性约束优化问题,其中通带中的群延迟偏差在规定的软量值约束和硬稳定性要求下最小化。为了实现这一目标,利用组延迟偏差的子级别集合来生成滤波器序列,从中选择具有最佳性能的滤波器。使用三个质量因子来评估所获得滤波器的质量,即通带幅度质量因子Qh和群延迟偏差质量因子Qτ,而第三个是新的质量因子Qs,其评估阻带中相对于通带中最小滤波器增益的性能。该框架在MATLAB环境中使用内点(IP)方法实现,实验结果表明,使用该方法设计的滤波器具有良好的幅度响应和较低的群延迟偏差。将所得滤波器的性能与其他方法的结果进行比较。
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A Nonlinear Optimization Design Algorithm for Nearly Linear-Phase 2D IIR Digital Filters
In this paper, a new optimization method for the design of nearly linear-phase two-dimensional infinite impulse (2D IIR) digital filters with a separable denominator is proposed. A design framework for 2D IIR digital filters is formulated as a nonlinear constrained optimization problem where the group delay deviation in the passband is minimized under prescribed soft magnitude constraints and hard stability requirements. To achieve this goal, sub-level sets of the group delay deviations are utilized to generate a sequence of filters, from which the one with the best performance is selected. The quality of the obtained filter is evaluated using three quality factors, namely, the passband magnitude quality factor Qh and the group delay deviation quality factor Qτ, while the third one is a new quality factor Qs that assesses the performance in the stopband relative to the minimum filter gain in the passband. The proposed framework is implemented using the interior-point (IP) method in a MATLAB environment, and the experimental results show that filters designed using the proposed method have good magnitude response and low group delay deviation. The performance of the resulting filters is compared with the results of other methods.
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CiteScore
3.20
自引率
0.00%
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审稿时长
11 weeks
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