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THEORY OF DIGITAL FILTER BANKS REALIZED VIA MULTIVARIATE EMPIRICAL MODE DECOMPOSITION

机译:通过多元经验模态分解实现数字过滤网的理论

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摘要

Undecimated and decimated multivariate empirical mode decomposition filter banks (MEMDFBs) are introduced in order to incorporate MEMD equipped with downsampling into any arbitrary tree structure and provide flexibility in the choice of frequency bands. Undecimated MEMDFBs show the same results as those of original MEMD for an octave tree structure. Since the exact cut-off frequencies of MEMD are not known (i.e. due to data-driven decomposition), employing just simple downsampling in MEMD might cause aliasing. However, decimated MEMDFBs in this paper achieve perfect reconstruction with aliasing cancelled for any arbitrary tree. Applications of decimated/undecimated MEMDFBs for speech/audio and image signals are also included. Since decimated MEMDFBs can be applied into any arbitrary tree structure, this extends into MEMD packets. Arbitrary tree structures in decimated MEMDFBs also lead to more diverse choices in frequency bands for various multivariate applications requiring decimations.
机译:引入未抽取和抽取的多元经验模态分解滤波器组(MEMDFB),以便将配备了下采样功能的MEMD合并到任意树形结构中,并提供频带选择的灵活性。对于八度树形结构,未抽取的MEMDFB的结果与原始MEMD的结果相同。由于尚不知道MEMD的确切截止频率(即由于数据驱动的分解),因此仅在MEMD中采用简单的下采样可能会导致混叠。但是,本文中抽取的MEMDFB可以通过消除任意树的混叠来实现完美的重构。还包括抽取/未抽取的MEMDFB在语音/音频和图像信号中的应用。由于抽取的MEMDFB可以应用于任何任意树结构,因此这扩展到MEMD数据包中。抽取的MEMDFB中的任意树结构还导致需要抽取的各种多元应用的频带选择更加多样化。

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