Signal denoising with average sampling

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Abstract

Based on the theory of average sampling, we present a new algorithm to reconstruct bandlimited signals from sampled values in the presence of zero mean, independent and identically distributed random noises. Numerical results show that our algorithm has good performance on denoising.

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Qingyue Zhang was born in Shandong, China. He received the B.S. degree in mathematics from Qufu Normal University, Qufu, China in 2006 and the M.S. degree in mathematics from Nankai University, Tianjin, China, in 2009. He is currently a Ph.D. candidate in mathematics at Nankai University. His research interests include wavelet analysis and signal processing.

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Qingyue Zhang was born in Shandong, China. He received the B.S. degree in mathematics from Qufu Normal University, Qufu, China in 2006 and the M.S. degree in mathematics from Nankai University, Tianjin, China, in 2009. He is currently a Ph.D. candidate in mathematics at Nankai University. His research interests include wavelet analysis and signal processing.

Ling Wang was born in Tianjin, China. She received the B.S., M.S. and Ph.D. degrees in medicine from Tianjin Medical University in 1992, 1995 and 2000, respectively. She is now an associate professor with the Department of Physiology, Tianjin Medical University. Her research interests include electrophysiology and medical signal processing.

Wenchang Sun was born in Shandong, China. He received the B.S. and Ph.D. degrees in mathematics from Nankai University, Tianjin, China, in 1993 and 1998, respectively. He is now a professor with the Department of Mathematics, Nankai University. His research interests include wavelet and harmonic analyses and signal processing.

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