改进子带系统辨识,突破传统滤波器设计限制。
A Generalized Weighted Overlap-Add (WOLA) Filter Bank for Improved Subband System Identification
- 提出广义WOLA滤波器组,提前重定位子带滤波器
- 理论证明性能提升,受滤波器阶数与降采样因子影响
- 设计低复杂度实现方案,计算量与传统方法相当
本文针对短时傅里叶变换域子带自适应滤波中的系统辨识问题,提出一种广义加权重叠相加(WOLA)滤波器组。传统WOLA在降采样前对子带滤波器有约束,本文通过将子带滤波器前移至降采样前,消除了该限制。进一步分析了广义WOLA在全带系统辨识下的均方误差(MSE)性能,建立了子带滤波器阶数、全带系统脉冲响应长度、降采样因子及原型滤波器间的理论关系。为应对计算复杂度增加,提出每音调加权重叠相加(PT-WOLA)低复杂度实现,其计算量与传统WOLA相当。理论与实验结果表明,新方法显著提升了子带系统辨识性能。
原文摘要 · Abstract (English)
This paper addresses the challenges in short-time Fourier transform (STFT) domain subband adaptive filtering, in particular, subband system identification. Previous studies in this area have primarily focused on setups with subband filtering at a downsampled rate, implemented using the weighted overlap-add (WOLA) filter bank, popular in audio and speech-processing for its reduced complexity. However, this traditional approach imposes constraints on the subband filters when transformed to their full-rate representation. This paper makes three key contributions. First, it introduces a generalized WOLA filter bank that repositions subband filters before the downsampling operation, eliminating the constraints on subband filters inherent in the conventional WOLA filter bank. Second, it investigates the mean square error (MSE) performance of the generalized WOLA filter bank for full-band system identification, establishing analytical ties between the order of subband filters, the full-band system impulse response length, the decimation factor, and the prototype filters. Third, to address the increased computational complexity of the generalized WOLA, the paper proposes a low-complexity implementation termed per-tone weighted overlap-add (PT-WOLA), which maintains computational complexity on par with conventional WOLA. Analytical and empirical evidence demonstrates that the proposed generalized WOLA filter bank significantly enhances the performance of subband system identification.
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