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Design and Efficient Implementation of Oversampled GDFT Filter Banks for Subband Adaptive Filtering

机译:用于子带自适应滤波的过采样GDFT滤波器组的设计与有效实现

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摘要

This paper introduces a polyphase implementation and design of an oversampled K-channel generalized DFT (GDFT) filter bank, which can be employed for subband adaptive filtering, and therefore is required to have a low aliasing level in the subband signals. A polyphase structure is derived which can be factorized into a real valued polyphase network and a GDFT modulation. For the latter, an FFT realization may be used, yielding a highly efficient polyphase implementation for arbitrary integer decimation ratios N = K. We also present an analysis underlining the efficiency of complex valued subband processing. The design of the filter bank is completely based on the prototype filter and solved using a fast converging iterative least squares method, for which we give examples. The design specifications closely correspond with performance limits of subband adaptive filtering, which are under-pinned by simulation results.
机译:本文介绍了过采样K通道广义DFT(GDFT)滤波器组的多相实现和设计,该滤波器组可用于子带自适应滤波,因此要求在子带信号中具有较低的混叠水平。推导出多相结构,可以将其分解为实值多相网络和GDFT调制。对于后者,可以使用FFT实现,对任意整数抽取比N <= K产生高效的多相实现。我们还提出了强调复值子带处理效率的分析。滤波器组的设计完全基于原型滤波器,并使用快速收敛的迭代最小二乘法求解,为此我们给出了示例。设计规范与子带自适应滤波的性能极限密切相关,而仿真结果则对这些极限起到了至关重要的作用。

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