TY - JOUR
T1 - Performance of instantaneous frequency rate estimation using high-order phase function
AU - Wang, Pu
AU - Li, Hongbin
AU - Djurović, Igor
AU - Himed, Braham
PY - 2010/4
Y1 - 2010/4
N2 - The high-order phase function (HPF) is a useful tool to estimate the instantaneous frequency rate (IFR) of a signal with a polynomial phase. In this paper, the asymptotic bias and variance of the IFR estimate using the HPF are derived in closed-forms for the polynomial phase signal with an arbitrary order. The Cramr-Rao bounds (CRBs) for IFR estimation, in both exact and asymptotic forms, are obtained and compared with the asymptotic mean-square error (MSE) of the HPF-based IFR estimator. Simulations are provided to verify our theoretical results.
AB - The high-order phase function (HPF) is a useful tool to estimate the instantaneous frequency rate (IFR) of a signal with a polynomial phase. In this paper, the asymptotic bias and variance of the IFR estimate using the HPF are derived in closed-forms for the polynomial phase signal with an arbitrary order. The Cramr-Rao bounds (CRBs) for IFR estimation, in both exact and asymptotic forms, are obtained and compared with the asymptotic mean-square error (MSE) of the HPF-based IFR estimator. Simulations are provided to verify our theoretical results.
KW - Cramé'r-Rao bound (CRB)
KW - High-order phase function (HPF)
KW - Polynomial-phase signals
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U2 - 10.1109/TSP.2009.2034939
DO - 10.1109/TSP.2009.2034939
M3 - Article
AN - SCOPUS:77949400624
SN - 1053-587X
VL - 58
SP - 2415
EP - 2421
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 4
M1 - 5290077
ER -