Abstract
Input signals are usually transformed sequentially in blocks of a given length N. In these circumstances, it is convenient to realize the sequence of transformed blocks using a bank of filters followed by downsampling. The reconstruction is realized with a filter bank performing upsampling and filtering. Here we present the details of how this is done.
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Notes
- 1.
We have ignored the implied time delay of \(N-1\) in reconstructing x(n).
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Pearlman, W.A. (2023). Transforms via Filter Banks. In: Mathematical Transformations and Wavelet Filters for Source Coding and Signal Processing Systems. Synthesis Lectures on Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-031-34684-2_5
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DOI: https://doi.org/10.1007/978-3-031-34684-2_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-34683-5
Online ISBN: 978-3-031-34684-2
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