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Linear minimum-mean-squared error estimation of phase noise, which has a symmetric levy distribution and a possibly large magnitude, from observables at irregular instants

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3 Author(s)
Yeong-Tzay Su ; Dept. of Math., Nat. Kaohsiung Normal Univ., Kaohsiung, Taiwan ; Yang Song ; Wong, K.T.

This study extends an algorithm, previously proposed by the present authors, for `linear minimum-mean-squared error' estimation of phase noise of (possibly) temporal non-stationarity, large magnitude, `non'-identical increments that have a Levy distribution, of which the Wiener distribution represents a special case. This estimator-taps may be pre-set to any number, may be pre-computed offline with no matrix inversion, based on the prior knowledge of only the signal-to-(additive)-noise ratio and the phase-noise's characteristic function. That estimator may be set to various degrees of latency. This is here generalised to allow observables at irregular time-instants (e.g. because of the irregular placement of pilot symbols in the transmitted waveform), under which the phase-noise increments become non-identically distributed. This study handles this more complicated scenario.

Published in:

Communications, IET  (Volume:7 ,  Issue: 14 )