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Analog filter banks for sampling: Discretization, polyphase form, and role in compressive sensing

Vaidyanathan, P. P. (2013) Analog filter banks for sampling: Discretization, polyphase form, and role in compressive sensing. In: 2013 IEEE Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE). IEEE , Piscataway, NJ, pp. 24-29. ISBN 978-1-4799-1616-0. https://resolver.caltech.edu/CaltechAUTHORS:20170130-170601430

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Abstract

Continuous-time signals arising in many applications can often be modeled as the outputs of analog synthesis-filter banks driven by discrete-time inputs d_i(n). Such a signal x(t) has a finite innovations rate, although it may not be bandlimited in general. In some applications it is necessary to sample such signals after filtering with an analog sampling-filter-bank, to recover the driving signals di(n): This sampling filter bank is in general not unique, and the theory and design techniques for such analog filter banks are not as well developed as the large body of literature on digital filter banks. In this paper we show that the theoretical as well as design and implementation issues can be formulated in terms of digital filter banks, by taking advantage of the finite innovations rate of x(t): The rich body of knowledge on digital filter banks and polyphase forms can therefore be utilized and furthermore the optimization of the sampling filter bank can be done on a more convenient platform. Applications of this development in the context of compressive sensing are also elaborated.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/DSP-SPE.2013.6642559DOIArticle
http://ieeexplore.ieee.org/document/6642559/PublisherArticle
ORCID:
AuthorORCID
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2013 IEEE. This work was supported in parts by the ONR grant N00014-11-1-0676, and the California Institute of Technology.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-11-1-0676
CaltechUNSPECIFIED
Subject Keywords:Compressive sensing, filter banks, sampling, polyphase form, transversal filters
DOI:10.1109/DSP-SPE.2013.6642559
Record Number:CaltechAUTHORS:20170130-170601430
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170130-170601430
Official Citation:P. P. Vaidyanathan, "Analog filter banks for sampling: Discretization, polyphase form, and role in compressive sensing," 2013 IEEE Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE), Napa, CA, 2013, pp. 24-29. doi: 10.1109/DSP-SPE.2013.6642559
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73836
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:31 Jan 2017 17:47
Last Modified:11 Nov 2021 05:22

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