Malvar wavelets with asymmetrically overlapped windows

Xiang Gen Xia; Bruce W. Suter; Mark E. Oxley

doi:10.1109/78.489049

Malvar wavelets with asymmetrically overlapped windows

Xiang Gen Xia^*
, Bruce W. Suter
, Mark E. Oxley

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Malvar wavelets (or lapped orthogonal transforms) with symmetric overlaps have been recently studied extensively. In this correspondence, we consider Malvar wavelets with asymmetric overlaps in both continuous-time and discrete-time cases. We present conditions on window functions in continuous-time case so that Malvar wavelets can be constructed from different local bases. However, in discrete-time cases, we show that Malvar wavelets are impossible unless the overlaps are symmetric. Numerical examples are presented to illustrate the theory.

Original language	English
Pages (from-to)	723-728
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	44
Issue number	3
DOIs	https://doi.org/10.1109/78.489049
Publication status	Published - 1996
Externally published	Yes

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10.1109/78.489049

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title = "Malvar wavelets with asymmetrically overlapped windows",

abstract = "Malvar wavelets (or lapped orthogonal transforms) with symmetric overlaps have been recently studied extensively. In this correspondence, we consider Malvar wavelets with asymmetric overlaps in both continuous-time and discrete-time cases. We present conditions on window functions in continuous-time case so that Malvar wavelets can be constructed from different local bases. However, in discrete-time cases, we show that Malvar wavelets are impossible unless the overlaps are symmetric. Numerical examples are presented to illustrate the theory.",

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year = "1996",

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journal = "IEEE Transactions on Signal Processing",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Malvar wavelets with asymmetrically overlapped windows

AU - Xia, Xiang Gen

AU - Suter, Bruce W.

AU - Oxley, Mark E.

PY - 1996

Y1 - 1996

N2 - Malvar wavelets (or lapped orthogonal transforms) with symmetric overlaps have been recently studied extensively. In this correspondence, we consider Malvar wavelets with asymmetric overlaps in both continuous-time and discrete-time cases. We present conditions on window functions in continuous-time case so that Malvar wavelets can be constructed from different local bases. However, in discrete-time cases, we show that Malvar wavelets are impossible unless the overlaps are symmetric. Numerical examples are presented to illustrate the theory.

AB - Malvar wavelets (or lapped orthogonal transforms) with symmetric overlaps have been recently studied extensively. In this correspondence, we consider Malvar wavelets with asymmetric overlaps in both continuous-time and discrete-time cases. We present conditions on window functions in continuous-time case so that Malvar wavelets can be constructed from different local bases. However, in discrete-time cases, we show that Malvar wavelets are impossible unless the overlaps are symmetric. Numerical examples are presented to illustrate the theory.

UR - https://www.scopus.com/pages/publications/0030110182

U2 - 10.1109/78.489049

DO - 10.1109/78.489049

M3 - Article

AN - SCOPUS:0030110182

SN - 1053-587X

VL - 44

SP - 723

EP - 728

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 3

ER -

Malvar wavelets with asymmetrically overlapped windows

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