Lower and upper bounds for the error of the Jth resolution via optimal wavelet choice for a signal

X. G. Xia, Z. Zhang

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

In this article, we investigate how to select a wavelet for a given signal such that the error of the discrete wavelet representation up to a given scale is minimized. We derive lower and upper bounds for the error of the Jth resolution fj of f with respect to f itself when the Fourier spectrum off is mostly concentrated in [-2J π, 2J7 π] .T he lower and the upper bounds we derive are only different from each other by a positive constant multiple. Based on the error bounds, the cost function is choosen as the upper bound with quadratic form of unknown coefficients. Then the optimal coefficients of the Daubechies wavelets are formulated as solutions of some quadratic equations, which depend on the signal and J. We also consider optimal wavelets in signal independent case. 1992 IEEE.

源语言英语
主期刊名Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
出版商Institute of Electrical and Electronics Engineers Inc.
327-330
页数4
ISBN(电子版)0780308050, 9780780308053
DOI
出版状态已出版 - 1992
已对外发布
活动1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Victoria, 加拿大
期限: 4 10月 19926 10月 1992

出版系列

姓名Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

会议

会议1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
国家/地区加拿大
Victoria
时期4/10/926/10/92

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