Estimation of aliasing error in sampling theorem for signals not necessarily in wavelet subspaces

Xiang Gen Xia*, Zhen Zhang

*此作品的通讯作者

科研成果: 书/报告/会议事项章节会议稿件同行评审

4 引用 (Scopus)

摘要

The classical Shannon sampling theorem has been extended to wavelet subspaces by Walter, that is, a signal f(t) in certain wavelet subspace VJ(φ) for certain scaling function φ(t) can be exactly reconstructed by its samples f(k/2J). For signals not necessarily in wavelet subspaces, the sampling theorem is not true. In this article, we estimate the aliasing error in the sampling theorem for a general signal. An application for the aliasing error estimation in the computation of the wavelet transform coefficients by the Shensa algorithm is also discussed.

源语言英语
主期刊名Digital Speech Processing
出版商Publ by IEEE
111.300-303
ISBN(印刷版)0780309464
出版状态已出版 - 1993
已对外发布
活动1993 IEEE International Conference on Acoustics, Speech and Signal Processing - Minneapolis, MN, USA
期限: 27 4月 199330 4月 1993

出版系列

姓名Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
3
ISSN(印刷版)0736-7791

会议

会议1993 IEEE International Conference on Acoustics, Speech and Signal Processing
Minneapolis, MN, USA
时期27/04/9330/04/93

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引用此

Xia, X. G., & Zhang, Z. (1993). Estimation of aliasing error in sampling theorem for signals not necessarily in wavelet subspaces. 在 Digital Speech Processing (页码 111.300-303). (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; 卷 3). Publ by IEEE.