Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Simple, effective estimation of frequency based on Prony's method
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 05
Approximate bounds on frequency estimates for short cisoids incolored noise
IEEE Transactions on Signal Processing
Frequency estimation from proper sets of correlations
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Harmonics in multiplicative and additive noise: performanceanalysis of cyclic estimators
IEEE Transactions on Signal Processing
Asymptotic analysis of a fast algorithm for efficient multiple frequency estimation
IEEE Transactions on Information Theory
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This paper provides the performance analysis of frequency estimation using multiple lags of correlations in the presence of additive white Gaussian noise and broadband colored noise. For the analysis, the colored noise is modeled as a moving average process. The threshold performance is investigated and different phase unwrapping techniques useful for correlation-based frequency estimation are compared. It is shown that the phase unwrapping obtained via a DFT coarse search has the best performance in the presence of additive white Gaussian noise. However, the DFT peak search is shown to be biased in the presence of colored noise. As such, a new phase unwrapping technique, using the method of iterative filtering, is proposed. It is shown that using this phase unwrapping, an estimator based on multiple lags of correlation achieves the CRB while maintaining a low SNR threshold, in the presence of colored noise.