Title
Frequency estimation in slowly fading multipath channels
Abstract
This paper concerns the estimation of a frequency offset of a known (pilot) signal propagated through a slowly fading multipath channel, such that channel parameters are considered to he constant over the observation interval. We derive a maximum-likelihood (ML) frequency estimation algorithm for additive Gaussian noise and path amplitudes having complex Gaussian distribution when covariance matrices of the fading and noise are known; we consider in detail the algorithm for the white noise and Rayleigh fading, in particular, for independent fading of path amplitudes and pilot signals with diagonal autocorrelation matrices. For the latter scenario, we also derive an ML frequency estimator when the power delay profile is unknown, but the noise variance and bounds for the path amplitude variances are specified; in particular, this algorithm can be used when path delays and amplitude variances are unknown. Finally, we consider frequency estimators which do not use a priori information about the noise variance; these algorithms are also operable without timing synchronization. All the frequency estimators exploit the multipath diversity by combining periodograms of multipath signal components and searching for the maximum of the combined statistic. For implementation of the algorithms, we use a fast Fourier transform-based coarse search and fine dichotomous search. We perform simulations to compare the algorithms. The simulation results demonstrate high accuracy performance of the proposed frequency estimators in wide signal-to-noise ratio and frequency acquisition range.
Year
DOI
Venue
2002
10.1109/TCOMM.2002.805275
Communications, IEEE Transactions  
Keywords
Field
DocType
Gaussian distribution,Gaussian noise,covariance matrices,delays,diversity reception,fading channels,fast Fourier transforms,frequency estimation,maximum likelihood estimation,multipath channels,search problems,white noise,Gaussian distribution,ML frequency estimator,additive Gaussian noise,channel parameters,covariance matrices,diagonal autocorrelation matrices,fast Fourier transform-based coarse search,fine dichotomous search,frequency acquisition range,frequency offset estimation,maximum-likelihood frequency estimation algorithm,multipath diversity,noise variance,observation interval,path amplitude variances,path amplitudes,path delays,periodograms,pilot signal,pilot signals,power delay profile,signal-to-noise ratio,simulation results,slowly fading multipath channels,white noise
Multipath propagation,Rayleigh fading,Fading,Frequency offset,White noise,Electronic engineering,Fading distribution,Log-distance path loss model,Gaussian noise,Mathematics
Journal
Volume
Issue
ISSN
50
11
0090-6778
Citations 
PageRank 
References 
11
0.87
10
Authors
3
Name
Order
Citations
PageRank
Vladimir M. Baronkin1213.21
Yuriy V. Zakharov2615.64
T. C. Tozer320427.92