Commutativity of block decimators and expanders with arbitrary rational sampling ratios and block lengths

Ling, Bingo Wing-Kuen, Ho, Charlotte Yuk-Fan and Cvetkovic, Zoran (2012) Commutativity of block decimators and expanders with arbitrary rational sampling ratios and block lengths. Digital Signal Processing: A Review Journal, 22 (4). pp. 677-680. ISSN 1051-2004

Full content URL: http://dx.doi.org/10.1016/j.dsp.2012.03.002

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Item Type:Article
Item Status:Live Archive

Abstract

It is well known that samplers are linear time varying systems, so in general, the commutativity of samplers does not hold. There are some existing results on the commutativity of conventional decimators and expanders, block samplers with the same integer block lengths but different integer sampling ratios, and block samplers with different integer block lengths and integer sampling ratios. This paper extends the existing results to a necessary and sufficient condition for the commutativity of block decimators and expanders with arbitrary rational sampling ratios and block lengths. © 2012 Elsevier Inc. All rights reserved.

Keywords:Block lengths, Block samplers, Commutativity, Linear time-varying systems, Sampling ratios, Sufficient conditions, Digital signal processors, Time varying systems
Subjects:H Engineering > H100 General Engineering
Divisions:College of Science > School of Engineering
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ID Code:11019
Deposited On:19 Sep 2013 12:28

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