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WVD和XWVD的统计特征分析
引用本文:陈光化,曹家麟.WVD和XWVD的统计特征分析[J].上海大学学报(英文版),2003,7(4):379-383.
作者姓名:陈光化  曹家麟
作者单位:School of Electromechanical Engineering and Automation,Shanghai University,Shanghai 200072,China,School of Electromechanical Engineering and Automation,Shanghai University,Shanghai 200072,China
摘    要:1 Introduction TheWigner Villedistribution (WVD) 1 7] hasbeenshowntobeefficientintheestimationofinstanta neousfrequency (IF)ofasignal.BecauseWVDisofbettertime frequencyresolutionandabletolocateen ergybasedontheIFlaw ,especiallyforalinearfre quencymodulated(LFM )signalwithaconstantampli tude,WVDwillreducetoarowofdeltafunctions .ThereforeonecanobtainanunbiasedestimateofIFofthesignalusingthepeakofWVD .Butperformanceofthepeakestimatorisdegradedsignificantlywithesti mationvariance quic…

关 键 词:Wigner-Ville分布  交叉Wigner-Ville分布  WVD  XWVD  噪声污染  瞬时频率
收稿时间:17 January 2003

Statistical performance of the wigner-ville distribution and the cross Wigner-Ville distribution
Chen?Guang-Hua,Cao?Jia-Lin.Statistical performance of the wigner-ville distribution and the cross Wigner-Ville distribution[J].Journal of Shanghai University(English Edition),2003,7(4):379-383.
Authors:Chen Guang-Hua  Cao Jia-Lin
Institution:School of Electromechanical Engineering and Automation, Shanghai University, Shanghai 200072, China
Abstract:This paper analyzes statistical performances of the Wigner-Ville distribution (WVD) and the cross Wigner-Ville distribution (XWVD). Theoretical studies show that XWVD of the analyzed signal can be estimated from XWVD of the noise-contaminated signal . The estimation is unbiased, and the variance is equal to that of noise. In this case, WVD cannot be estimated from WVD of the noise-contaminated signal . Therefore higher SNR is required when using WVD.
Keywords:Wigner-Ville distribution  cross Wigner-Ville distribution  instantaneous frequency  variance  
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