TY - GEN
T1 - Instantaneous frequency estimation of polynomial phase signals using local polynomial wigner-ville distribution
AU - Wang, Pu
AU - Li, Hongbin
AU - Himed, Braham
PY - 2010
Y1 - 2010
N2 - This paper makes use of local polynomial Wigner-Ville distribution (LPWVD), originally designed for nonparametric instantaneous frequency (IF) estimation of transient signals, to propose a parametric IF estimation for polynomial phase signals (PPSs). Statistical performance such as asymptotic bias and variance of the LP-WVD-based parametric IF estimator is derived in closed-form. Based on the analytical results, we extend the statistical efficiency of the Wigner-Ville distribution (WVD) for a second-order PPS only to that of the LPWVD for an arbitrary order, when the IF is estimated at the middle of sample observations. Simulation results verify the analytical performance and comparisons with the polynomial Wigner-Ville distribution (PWVD) show that the LPWVD-based parametric IF estimator can provide better performance.
AB - This paper makes use of local polynomial Wigner-Ville distribution (LPWVD), originally designed for nonparametric instantaneous frequency (IF) estimation of transient signals, to propose a parametric IF estimation for polynomial phase signals (PPSs). Statistical performance such as asymptotic bias and variance of the LP-WVD-based parametric IF estimator is derived in closed-form. Based on the analytical results, we extend the statistical efficiency of the Wigner-Ville distribution (WVD) for a second-order PPS only to that of the LPWVD for an arbitrary order, when the IF is estimated at the middle of sample observations. Simulation results verify the analytical performance and comparisons with the polynomial Wigner-Ville distribution (PWVD) show that the LPWVD-based parametric IF estimator can provide better performance.
KW - Instantaneous frequency
KW - Parametric method
KW - Polynomial-phase signal
UR - http://www.scopus.com/inward/record.url?scp=78651311682&partnerID=8YFLogxK
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U2 - 10.1109/ICEAA.2010.5652980
DO - 10.1109/ICEAA.2010.5652980
M3 - Conference contribution
AN - SCOPUS:78651311682
SN - 9781424473687
T3 - Proceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
SP - 184
EP - 187
BT - Proceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
T2 - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
Y2 - 20 September 2010 through 24 September 2010
ER -