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首页> 外文期刊>Frequenz >Efficient Implementation of Real and Complex Linear-Phase FIR and Minimum-Phase IIR Halfband Filters for Sample Rate Alteration
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Efficient Implementation of Real and Complex Linear-Phase FIR and Minimum-Phase IIR Halfband Filters for Sample Rate Alteration

机译：实数和复数线性相位FIR和最小相位IIR半带滤波器的有效实现，用于采样率改变

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摘要

Real halfband lowpass and complex halfband bandpass filters, versatile building blocks in a multitude of DSP applications, are revisited with focus on efficient implementation. Linear-phase FIR and minimum-phase IIR halfband filters are recalled predominatly for sample rate alteration, their computational loads are compared, and optimum signal flow graphs are presented. The same comparisons are carried out for the corresponding complex halfband filters (Hilbert-transformers with their passbands centred at the normalised frequencies of Ω_c = ±π / 2) with and without an additional frequency offset by ΔΩ = ±π / 4. As expected, the smaller the transition width between passband and stopband, the higher the relative advantage of the IIR approach in terms of computation. Yet, there exist ranges of specifications where linear-phase FIR halfband filters outperform their minimum-phase IIR counterparts - even without taking into account the linear-phase and stability advantages of FIR filters.
机译：重新审视了真正的半带低通和复杂的半带带通滤波器，它们是众多DSP应用中的通用构建模块，着重于高效实现。召回线性相位FIR和最小相位IIR半带滤波器主要是为了改变采样率，比较它们的计算负荷，并给出最佳信号流图。对于相应的复杂半带滤波器（希尔伯特变压器，其通带以Ω_c=±π/ 2的归一化频率为中心）进行了相同的比较，并且没有附加的频率偏移ΔΩ=±π/ 4。通带和阻带之间的过渡宽度越小，IIR方法在计算方面的相对优势就越高。但是，即使不考虑FIR滤波器在线性相位和稳定性方面的优势，线性相位FIR半带滤波器的性能也会超过其最小相位IIR同类产品。

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