On the Limit of Sampled Signal Extrapolation with a Wavelet Signal Model

Xiang Gen Xia; Li Chien Lin; C. C.Jay Kuo

doi:10.1080/01630569508816672

On the Limit of Sampled Signal Extrapolation with a Wavelet Signal Model

Xiang Gen Xia, Li Chien Lin, C. C.Jay Kuo

University of Southern California

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The extrapolation of sampled signals from a given interval using a wavelet model with various sampling rates is examined in this research. We present sufficient conditions on signals and wavelet bases so that the discrete-time extrapolated signal converges to its continuous-time counterpart when the sampling rate goes to infinity. Thus, this work provides a practical procedure to implement continuous-time signal extrapolation, which is important in wideband radar and sonar signal processing, with a discrete one via carefully choosing the sampling rate and the wavelet basis. A numerical example is given to illustrate our theoretical result.

Original language	English
Pages (from-to)	1255-1272
Number of pages	18
Journal	Numerical Functional Analysis and Optimization
Volume	16
Issue number	9-10
DOIs	https://doi.org/10.1080/01630569508816672
Publication status	Published - 1 Jan 1995
Externally published	Yes

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Xia, X. G., Lin, L. C., & Kuo, C. C. J. (1995). On the Limit of Sampled Signal Extrapolation with a Wavelet Signal Model. Numerical Functional Analysis and Optimization, 16(9-10), 1255-1272. https://doi.org/10.1080/01630569508816672

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AB - The extrapolation of sampled signals from a given interval using a wavelet model with various sampling rates is examined in this research. We present sufficient conditions on signals and wavelet bases so that the discrete-time extrapolated signal converges to its continuous-time counterpart when the sampling rate goes to infinity. Thus, this work provides a practical procedure to implement continuous-time signal extrapolation, which is important in wideband radar and sonar signal processing, with a discrete one via carefully choosing the sampling rate and the wavelet basis. A numerical example is given to illustrate our theoretical result.

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On the Limit of Sampled Signal Extrapolation with a Wavelet Signal Model

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