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

Yeong Tzay Su, Kainam Thomas Wong, Keang Po Ricky Ho

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

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 signal-to-(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.
Original languageEnglish
Title of host publication2009 IEEE Radar Conference, RADAR 2009
DOIs
Publication statusPublished - 11 Sep 2009
Event2009 IEEE Radar Conference, RADAR 2009 - Pasadena, CA, United States
Duration: 4 May 20098 May 2009

Conference

Conference2009 IEEE Radar Conference, RADAR 2009
Country/TerritoryUnited States
CityPasadena, CA
Period4/05/098/05/09

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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