Minimum-energy frame of discrete signal space and its de-noising application to rectangular pulse signal

Yang Wei; Zhang Yu; Xie Ying-Hai

doi:10.7498/aps.59.8255

Abstract

The minimum-energy (wavelet) frame has an extensive application prospect in the field of signal processing, but now it can be applied only to continuous signals. In order to solve the problem, we define a minimum-energy frame in the discrete signal space, and then prove that it has some good properties. In the actual application, we propose a new de-noising algorithm which is special for the binary rectangular pulse signal polluted by the additive gaussian noise and obtain better processing effect by using a minimum-energy frame in the discrete signal space to denoise the sampled sequence of receiving waveform. The simulation results show that if a pre-processing link is used to denoise the receiving waveform through using the algorithm, the receiver can reduce the bit error rate and achieve a 3.4 dB performance gain at 4 dB signal-to-noise ratio.

Keywords:

Authors and contacts

(1)State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; (2)State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China

References

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Cited By

[1]	Chen S G, Ji S Y, Liu W S, Song Z Y, Pang L J 2009 Acta Phy. Sin. 58 3041(in Chinese)[陈世国、吉世印、刘万松、宋泽运、庞礼军 2009 58 3041]
[2]	Zhao W S, He Y G, 2009 Acta Phy. Sin. 58 0843(in Chinese)[赵文山、何怡刚 2009 58 843]
[3]	Deng Y Q, Cao S Y, Yu J,Xu T, Wang Q Y, Zhang Z G 2009 Acta Phy. Sin. 58 7017(in Chinese)[邓玉强、曹世英、于靖、徐涛、王清月、张志刚 2009 58 7017]
[4]	Liu B, Peng J X, 2008 Sci. China Ser. F 38 2273 (in Chinese)[刘斌彭、嘉雄 2008 中国科学F辑 38 2273]
[5]	Chui C K, He W 2000 Appl. Comp. Harm. Anal. 8 293
[6]	Peng L Z, Wang H H 2003 Sci. China Ser. F 46 445
[7]	Gao X P, Zhou S W 2005 Sci. China Ser. F 48 771
[8]	Gao X P, Cao C H, 2009 Sci. China Ser. F 39 411 (in Chinese) [高协平、曹春红 2009 中国科学F辑39 441]
[9]	Mallat S 2003 A Wavelet Tour of Signal Processing 2 (Beijing: Machinery Industry Press) P241 (in Chinese) [马拉特 2003信号处理的小波导引 2(北京:机械工业出版社)第241页]
[10]	Shen L X, Manos Papadakis, Ioannis A 2006 IEEE Trans. Ima. Proc.15 1177
[11]	D Donoho 1995 IEEE Trans.Inf.Theory 3 613
[12]	Petukhov A 2003 Constr. Approx. 19 309
[13]	Abdelnour A F, Selesnick I W 2005 IEEE Trans. Sig. Proc. 53 231
[14]	Chui C K 1997 An Introduction To Wavelets (Xian: Jiaotong University Press) P189 (in Chinese) [崔锦泰著小波分析导论(西安:交通大学出版社)第189页]

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Catalog

Vol. 59, Issue 11 - 2010-06-05

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