The design of M-channel linear phase wavelet-like filter banks

X. M. Xie, B. Peng, X. J. Ma, G. M. Shi, A. Fernandez-Vazquez

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

This paper investigates M-channel linear-phase (LP) wavelet-like filter banks. The term "wavelet-like" is justified because the filter bank is of near-perfect-reconstruction (NPR). We firstly derive some conditions for designing M-channel LP NPR filter banks and then propose a design method of wavelet-like filter banks. The proposed wavelet-like filter bank is obtained by imposing regularity constraints on the LP NPR filter bank. By using some simple algebraic transformations, we convert the original filter into the wavelet-like filter without nonlinear optimization. With this method, we not only preserve the desired LP property, but also obtain good NPR property as the original NPR filter bank, such as high stopband attenuation. Finally, examples show that LP wavelet-like filter banks with even and odd numbers of channels are capable of achieving different degrees of regularity. © 2008 IEEE.
Original languageAmerican English
Pages436-442
Number of pages391
DOIs
StatePublished - 22 Sep 2008
Externally publishedYes
EventICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings -
Duration: 22 Sep 2008 → …

Conference

ConferenceICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings
Period22/09/08 → …

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Xie, X. M., Peng, B., Ma, X. J., Shi, G. M., & Fernandez-Vazquez, A. (2008). The design of M-channel linear phase wavelet-like filter banks. 436-442. Paper presented at ICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings, . https://doi.org/10.1109/ICALIP.2008.4590111
Xie, X. M. ; Peng, B. ; Ma, X. J. ; Shi, G. M. ; Fernandez-Vazquez, A. / The design of M-channel linear phase wavelet-like filter banks. Paper presented at ICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings, .391 p.
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title = "The design of M-channel linear phase wavelet-like filter banks",
abstract = "This paper investigates M-channel linear-phase (LP) wavelet-like filter banks. The term {"}wavelet-like{"} is justified because the filter bank is of near-perfect-reconstruction (NPR). We firstly derive some conditions for designing M-channel LP NPR filter banks and then propose a design method of wavelet-like filter banks. The proposed wavelet-like filter bank is obtained by imposing regularity constraints on the LP NPR filter bank. By using some simple algebraic transformations, we convert the original filter into the wavelet-like filter without nonlinear optimization. With this method, we not only preserve the desired LP property, but also obtain good NPR property as the original NPR filter bank, such as high stopband attenuation. Finally, examples show that LP wavelet-like filter banks with even and odd numbers of channels are capable of achieving different degrees of regularity. {\circledC} 2008 IEEE.",
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Xie, XM, Peng, B, Ma, XJ, Shi, GM & Fernandez-Vazquez, A 2008, 'The design of M-channel linear phase wavelet-like filter banks', Paper presented at ICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings, 22/09/08 pp. 436-442. https://doi.org/10.1109/ICALIP.2008.4590111

The design of M-channel linear phase wavelet-like filter banks. / Xie, X. M.; Peng, B.; Ma, X. J.; Shi, G. M.; Fernandez-Vazquez, A.

2008. 436-442 Paper presented at ICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings, .

Research output: Contribution to conferencePaper

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Xie XM, Peng B, Ma XJ, Shi GM, Fernandez-Vazquez A. The design of M-channel linear phase wavelet-like filter banks. 2008. Paper presented at ICALIP 2008 - 2008 International Conference on Audio, Language and Image Processing, Proceedings, . https://doi.org/10.1109/ICALIP.2008.4590111