On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration

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	On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration
	Ching, PC ; Wu, SQ
	1998-08-01
发表期刊	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING
ISSN	1057-7130
卷号	45 期号:8 页码:1102-1106
摘要	In this brief, an approximated sampling theorem for MS arbitrary continuous time waveform is established. The approximation error bounds for some typical classes of signals are computed. This theorem is essential for performing wavelet analysis if the signal concerned is time limited rather than band limited. An efficient reconstruction method making use of wavelet denoising is proposed to restore source signal that is contaminated by white Gaussian noise. Under certain conditions, it is proved theoretically that the method is able to bound the estimation mean square error in the order of log(2)(n)/n, where n is the number of discrete samples in the reconstruction.
关键词	denoising sampling waveform restoration wavelet decomposition
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000075817000017
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13695
专题	中国科学院数学与系统科学研究院
通讯作者	Ching, PC
作者单位	1.Chinese Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong 2.Acad Sinica, Probabil Lab, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ching, PC,Wu, SQ. On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING,1998,45(8):1102-1106.
APA	Ching, PC,&Wu, SQ.(1998).On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING,45(8),1102-1106.
MLA	Ching, PC,et al."On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING 45.8(1998):1102-1106.