MMSE recursive estimation of high phase-noise that is Wiener non-stationary

To estimate Wiener phase noise of arbitrarily large magnitude (relative to the symbol duration), this work pioneers a linear minimum-mean-square error (LMMSE) discrete-time estimator. This proposed estimator may be pre-set to any arbitrary number of taps and any arbitrary latency. The coefficients o...

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Bibliographic Details
Published in2009 IEEE Radar Conference pp. 1 - 5
Main Authors Yeong-Tzay Su, Wong, K.T., Ho, K.-P.R.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2009
Subjects
Frequency synchronization
Local oscillators
Optical receivers
Phase estimation
Phase locked loops
Phase noise
Random sequences
Recursive estimation
Stochastic resonance
Wireless communication
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Summary:To estimate Wiener phase noise of arbitrarily large magnitude (relative to the symbol duration), this work pioneers a linear minimum-mean-square error (LMMSE) discrete-time estimator. This proposed estimator may be pre-set to any arbitrary number of taps and any arbitrary latency. The coefficients of this linear estimator depend only on the values of the signalto-(additive)-noise ratio and the phase-noise variance. Moreover, rigorous analysis here (1) proves that this sequence of LMMSE-weights are unimodal when plotted against the weight-index, (2) derives an upper bound and a lower bound, in closed forms, for the LMMSE-weights, and (3) proves that this sequence of LMMSE-weights converges to be Laplacian when plotted against the weight-index, as the number of taps approaches infinity.
ISBN:142442870X
9781424428700
ISSN:1097-5659
2375-5318
DOI:10.1109/RADAR.2009.4976966