Please use this identifier to cite or link to this item: https://doi.org/10.1109/GLOCOM.2006.581
Title: ML estimation of the frequency and phase in noise
Authors: Fu, H. 
Kam, P.Y. 
Keywords: CRLB
Frequency
ML estimation
Phase
Phase noise model
Phase unwrapping
Issue Date: 2006
Source: Fu, H.,Kam, P.Y. (2006). ML estimation of the frequency and phase in noise. GLOBECOM - IEEE Global Telecommunications Conference : -. ScholarBank@NUS Repository. https://doi.org/10.1109/GLOCOM.2006.581
Abstract: The problem of estimating the frequency and carrier phase of a single sinusoid observed in additive, white, Gaussian noise is addressed. Much of the work in the literature considers maximum likelihood (ML) estimation. However, the ML estimator given by the location of the peak of a periodogram in the frequency domain [1] has a very high computational complexity. This paper derives an explicit structure of the ML estimator for data processing in the time domain, assuming only reasonably high signal-to-noise ratio. The result of this approximate ML estimator shows that both the phase and the magnitude of the noisy signal samples are utilized in the estimator, and the phase data alone as assumed in [2] and [3] is not a sufficient statistic. The sample-by-sample iterative processing nature of the estimator enables us to propose a novel, recursive phase-unwrapping algorithm that allows the estimator to be implemented efficiently. To facilitate the performance analysis, an improved, linearized observation model for the instantaneous signal phase that is more accurate than that of [2] and [3] is proposed. This improved model explains physically why the phase data are weighted by the magnitude information in the ML estimator. © 2006 IEEE.
Source Title: GLOBECOM - IEEE Global Telecommunications Conference
URI: http://scholarbank.nus.edu.sg/handle/10635/70959
ISBN: 142440357X
DOI: 10.1109/GLOCOM.2006.581
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