On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration

	On approximated sampling theorem and wavelet denoising for arbitrary waveform restoration
	Ching, PC ; Wu, SQ
刊名	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING
	1998-08-01
卷号	45 期号:8 页码:1102-1106
关键词	denoising sampling waveform restoration wavelet decomposition
ISSN号	1057-7130
英文摘要	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.
WOS研究方向	Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000075817000017
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/13694]
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.