Asymptotic Performance of the Pth Power-Law Phase Estimator
Kenneth V. Cartwright, Edit J. Kaminsky · ScholarWorks @ The University of New Orleans (The University of New Orleans) · 2005
Abstract—An expression for the true variance of the P th powerlaw phase estimator, as the number of samples approaches infinity, is given. This expression is an extension to the linear approximation of Moeneclaey and de Jonghe [1] which is known to be inadequate in some practical systems. Our new expression covers general 2π/P-rotationally symmetric constellations that include those of PAM, QAM, PSK, Star M-QAM, MR-DPSK, and others. This expression also generalizes the known expressions for QAM and PSK. Additionally, our expression reduces to the Cramer-Rao bound given by Steendam and Moeneclaey [9], as SNR goes to zero. Monte Carlo simulations provide experimental verification of the theoretical expression for various constellations. Index Terms—Carrier phase estimation, quadrature amplitude modulation, phase-shift keying, general constellations, synchronization, blind estimation, asymptotic performance. I.