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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	723-728
页数	6
期刊	IEEE Transactions on Signal Processing
卷	44
期	3
DOI	https://doi.org/10.1109/78.489049
出版状态	已出版 - 1996
已对外发布	是

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Xia, X. G., Suter, B. W., & Oxley, M. E. (1996). Malvar wavelets with asymmetrically overlapped windows. IEEE Transactions on Signal Processing, 44(3), 723-728. https://doi.org/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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AU - Xia, Xiang Gen

AU - Suter, Bruce W.

AU - Oxley, Mark E.

PY - 1996

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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.

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Malvar wavelets with asymmetrically overlapped windows

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