Parameter estimation of polynomial phase signal based on low-complexity LSU-EKF algorithm in entire identifiable region

Fast implementation of parameter estimation for polynomial phase signal (PPS) is considered in this paper. A method which combines the least squares unwrapping (LSU) estimator and the extended Kalman filter (EKF) is proposed. A small number of initial samples are used to estimate the PPS's parameters and then these coarse estimates are used to initial the EKF. The proposed LSU-EKF estimator greatly reduces the computation complexity of the LSU estimator and can work in entire identifiable region which inherits from the LSU estimator. Meanwhile, in the EKF stage its output is in point-by-point wise which is useful in real applications.

[1]  Cornel Ioana,et al.  Polynomial phase signal processing via warped high-order ambiguity function , 2004, 2004 12th European Signal Processing Conference.

[2]  S. R. Jammalamadaka,et al.  Directional Statistics, I , 2011 .

[3]  Xin Yuan Polynomial-phase signal source tracking using an electromagnetic vector-sensor , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[4]  Igor Djurovic,et al.  Quasi-maximum likelihood estimator of multiple polynomial-phase signals , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[5]  Anna Scaglione,et al.  Product high-order ambiguity function for multicomponent polynomial-phase signal modeling , 1998, IEEE Trans. Signal Process..

[6]  Peter James Kootsookos,et al.  An extended Kalman filter for demodulation of polynomial phase signals , 1998, IEEE Signal Processing Letters.

[7]  I. Vaughan L. Clarkson,et al.  Identifiability and Aliasing in Polynomial-Phase Signals , 2009, IEEE Transactions on Signal Processing.

[8]  I. Vaughan L. Clarkson,et al.  Polynomial Phase Estimation by Least Squares Phase Unwrapping , 2014, IEEE Trans. Signal Process..

[9]  Francesco Palmieri,et al.  Low-complexity dominance-based sphere decoder for MIMO systems , 2013, Signal Process..

[10]  I. Vaughan L. Clarkson,et al.  Frequency Estimation by Phase Unwrapping , 2010, IEEE Transactions on Signal Processing.

[11]  Eric Chaumette,et al.  Approximate maximum likelihood estimation of two closely spaced sources , 2014, Signal Process..

[12]  Paul Zarchan,et al.  Fundamentals of Kalman Filtering: A Practical Approach , 2001 .

[13]  Anish C. Turlapaty,et al.  Parameter estimation and waveform design for cognitive radar by minimal free-energy principle , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[14]  Yang Wang,et al.  Exploring lag diversity in the high-order ambiguity function for polynomial phase signals , 1997, Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics.

[15]  Alexander Vardy,et al.  Closest point search in lattices , 2002, IEEE Trans. Inf. Theory.

[16]  Pu Wang,et al.  Parameter estimation of 2-D cubic phase signal using cubic phase function with genetic algorithm , 2010, Signal Process..

[17]  Zhan Guo,et al.  Algorithm and implementation of the K-best sphere decoding for MIMO detection , 2006, IEEE Journal on Selected Areas in Communications.

[18]  Li Wang,et al.  Parameter estimation for HFM signals using combined STFT and iteratively reweighted least squares linear fitting , 2014, Signal Process..