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首页> 外文期刊>IEEE Transactions on Automatic Control >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

机译：关于任意波形恢复的近似采样定理和小波去噪

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摘要

In this brief, an approximated sampling theorem for any 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 analysisif 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 provedtheoretically that the method is able to bound the estimation mean square error in the order of log{sup}2(n)/n, where n is the number of discrete samples in the reconstruction.

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