Uniform Transition Tree-Structured Critically Sampled Filterbanks

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Abstract/Contents

Abstract
Critically sampled filterbanks are useful in applications like audio coding that involve processing the time-varying spectral characteristics of signals. Critically sampled filterbanks can be implemented with a tree-structure. The odd-numbered subbands of a critically sampled filterbank exhibit frequency inversion, causing subbands to be unordered in frequency past the first layer. We show how subbands can be swapped at each layer to maintain their ordering. Self-similar filterbanks, using the same filters at each layer of the tree, have nonuniform transition widths and long impulse responses. We explore using filters with wider transition widths at deeper layers, and we demonstrate that this technique can be used to implement an efficient uniform transition filterbank. We compare this uniform transition filterbank with a self-similar filterbank in an audio codec, showing that the uniform transition filterbank achieves a smaller maximum transition width at a lower impulse response length.

Description

Type of resource text
Publication date May 31, 2023; May 2023

Creators/Contributors

Author Wixen, Ryan
Thesis advisor Schafer, Ron
Thesis advisor Mujica, Fernando
Thesis advisor Bosi, Marina
Degree granting institution Stanford University
Department Department of Electrical Engineering

Subjects

Subject Electrical engineering
Subject Signal processing
Subject Filterbanks
Subject Audio coding
Genre Text
Genre Thesis

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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
License
This work is licensed under a Creative Commons Attribution Non Commercial 4.0 International license (CC BY-NC).

Preferred citation

Preferred citation
Wixen, R. (2023). Uniform Transition Tree-Structured Critically Sampled Filterbanks. Stanford Digital Repository. Available at https://purl.stanford.edu/jj393yw9998. https://doi.org/10.25740/jj393yw9998.

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Undergraduate Theses, School of Engineering

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