Title
Instantaneous frequency estimation of frequency modulated signals in the presence of multiplicative and additive noise: Application to mobile communication systems
Abstract
In this paper, we address the problem of estimating the in- stantaneous frequency (IF) of an FM modulated signal in the presence of multiplicative and additive noise processes. In particular, we consider the estimation of the IF of the re- ceived signal at the mobile unit antenna. We show that the existing non-parametric methods based on the Wigner-Ville spectrum (WVS) fail to extract the desired signal. Instead, the first moment of the Wigner-Ville distribution (WVD) of the signal can be used to estimate the IF of the signal un- der consideration. The estimator is unbiased and analytical expressions for the variance of the estimator in the absence and presence of additive noise are given. In (6, 7, 8, 9) the peak of the Wigner-Ville spectrum (WVS) is proposed as an estimator for the IF of frequency modulated signals in the presence of multiplicative noise. Although the estimators based on the time-frequency spec- trum are useful in some applications, we show that they fail to estimate the IF of the received signal at the mobile unit antenna. Instead, in this paper, we propose another non- parametric estimator based on the first-order moment of the Wigner-Ville distribution (WVD) of the signal. Statistical performance of the estimator is evaluated in the presence of additive and multiplicative noise. The remainder of this paper is organised as follows. Sec- tion 3 describes the model of the signal received by the mo- bile unit antenna. In section 4, the IF estimator based on the WVS of the signal is reviewed briefly . We show that this es- timator would have a significant error in estimating the IF of the received signal by the mobile unit. In section 5, we show that the first-order moment of the Wigner-Ville distribution (WVD) of the received signal can extract the desired signal. Expressions for the variance of the WVD-based estimator are given in section 6. Section 7 concludes the paper.
Year
Venue
Keywords
2002
European Signal Processing Conference
wigner distribution,frequency estimation,frequency modulation,mobile antennas,mobile communication,radiofrequency interference,wvd,wvs,wigner-ville distribution,wigner-ville spectrum,additive noise processes,frequency modulated signals,instantaneous frequency estimation,mobile communication systems,mobile unit antenna,multiplicative noise
Field
DocType
ISSN
Multiplicative function,Computer science,Electronic engineering,Instantaneous phase,Mobile communication systems
Conference
2219-5491
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Ghasem Azemi115015.24
Bouchra Senadji218620.93
Boualem Boashash3964123.86