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Generalized High-Order Phase Function for Parameter Estimation of Polynomial Phase Signal

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3 Author(s)
Pu Wang ; Dept. of Electr. & Comput. Eng., Stevens Inst. of Technol., Hoboken, NJ ; Igor Djurovic ; Jianyu Yang

The high-order phase function (HPF) has been introduced recently to estimate the parameters of a polynomial phase signal (PPS). In this correspondence, we generalize the standard HPF by introducing multiple time instants. Thus, the standard HPF can be treated as a special example of the generalized HPF with identical time instants. We propose a procedure for finding time instants minimizing the mean-square error (MSE). The proposed method achieves better performances than the high-order ambiguity function (HAF) and polynomial Wigner-Ville distribution (PWVD). The theoretical analysis as well as the Monte Carlo simulations verify the advantages such as lower MSE and lower SNR threshold for the PPS.

Published in:

IEEE Transactions on Signal Processing  (Volume:56 ,  Issue: 7 )