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

Bingo Wing-Kuen Ling; Charlotte Yuk-Fan Ho; Zoran Cvetkovic

doi:10.1016/j.dsp.2012.03.002

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

Bingo Wing-Kuen Ling^*, Charlotte Yuk-Fan Ho, Zoran Cvetkovic

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	N/A
Pages (from-to)	677-680
Number of pages	4
Journal	DIGITAL SIGNAL PROCESSING
Volume	22
Issue number	4
DOIs	https://doi.org/10.1016/j.dsp.2012.03.002
Publication status	Published - Jul 2012

Keywords

Block samplers
Commutativity
Arbitrary rational sampling ratios
Arbitrary block lengths
WAVELET TRANSFORMS
FILTER BANKS

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10.1016/j.dsp.2012.03.002

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title = "Commutativity of block decimators and expanders with arbitrary rational sampling ratios and block lengths",

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.",

keywords = "Block samplers, Commutativity, Arbitrary rational sampling ratios, Arbitrary block lengths, WAVELET TRANSFORMS, FILTER BANKS",

author = "Ling, {Bingo Wing-Kuen} and Ho, {Charlotte Yuk-Fan} and Zoran Cvetkovic",

year = "2012",

month = jul,

doi = "10.1016/j.dsp.2012.03.002",

language = "English",

volume = "22",

pages = "677--680",

journal = "DIGITAL SIGNAL PROCESSING",

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TY - JOUR

T1 - Commutativity of block decimators and expanders with arbitrary rational sampling ratios and block lengths

AU - Ling, Bingo Wing-Kuen

AU - Ho, Charlotte Yuk-Fan

AU - Cvetkovic, Zoran

PY - 2012/7

Y1 - 2012/7

N2 - 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.

AB - 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.

KW - Block samplers

KW - Commutativity

KW - Arbitrary rational sampling ratios

KW - Arbitrary block lengths

KW - WAVELET TRANSFORMS

KW - FILTER BANKS

U2 - 10.1016/j.dsp.2012.03.002

DO - 10.1016/j.dsp.2012.03.002

M3 - Article

SN - 1051-2004

VL - 22

SP - 677

EP - 680

JO - DIGITAL SIGNAL PROCESSING

JF - DIGITAL SIGNAL PROCESSING

IS - 4

M1 - N/A

ER -

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

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Keywords

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