Time Delay Model of Fractional Fourier Transform and the Application in Signal Filtering

摘要：

　　Various frequency bands of noises are contained in the actual signal.And its difficult to eliminate the noise portion,which has a time delay and same spectrum with the original signal with conventional filtering methods.Based on the time delay and the multiplication delay characteristics of the fractional Fourier transform (FRFT),we put forward a FRFT time delay model,which can increase distance between the signal and the noise component.Through corresponding Fractional Fourier Transform to noise-containing signal,the distance between the signal and common frequency noises can be constantly increased within the transform domain,thus easily separating the noise component.The algorithm of the model can be simply deduced,easy realized and converged fast.In the experiment,we simulated the separating characteristics of the transform,and used the method to de-noise the grating signal.Compared with other traditional methods,we find that the FRFT acquired a better result.

关键词： Fractional Fourier transform Spectrum Time delay Multiplication transformation

作者: Yuangan Wang Honglin Yu Xinyu Liang

作者单位: School of Opto-electronics Engineering,Chongqing University, Chongqing 400030, P.R.China;School of m School of Opto-electronics Engineering,Chongqing University, Chongqing 400030, P.R.China Security corps of Chongqing public security bureau, Chongqing 400001, P.R.China

会议类型: 国际会议

会议名称: the Second International Conference on Frontiers of Manufacturing and Design Science(第二届制造与设计科学国际会议(ICFMD 2011))

会议地点: 台湾

会议语种:英文

页码: 3637-3641

在线出版日期: 2011-12-11（万方平台首次上网日期，不代表论文的发表时间）