Generalized High-Order Phase Function for Parameter Estimation of Polynomial Phase Signal
Authors:
- Igor DjurovicIDIgor Djurovic
- Jianyu YangJYJianyu Yang
- 17 June 2008
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 56 (7) , 3023-3028
Abstract
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.Keywords
This publication has 14 references indexed in Scilit:
- Algorithm Extension of Cubic Phase Function for Estimating Quadratic FM Signal2007
- Multicomponent chirp signals analysis using product cubic phase functionDigital Signal Processing, 2006
- Time-Frequency Analysis Using Warped-Based High-Order Phase ModelingEURASIP Journal on Advances in Signal Processing, 2005
- A Fast Algorithm for Estimating the Parameters of a Quadratic FM SignalIEEE Transactions on Signal Processing, 2004
- Comments on "The Cramer-Rao lower bounds for signals with constant amplitude and polynomial phaseIEEE Transactions on Signal Processing, 1998
- A modification of the discrete polynomial transformIEEE Transactions on Signal Processing, 1998
- Product high-order ambiguity function for multicomponent polynomial-phase signal modelingIEEE Transactions on Signal Processing, 1998
- Aircraft flight parameter estimation based on passive acoustic techniques using the polynomial Wigner–Ville distributionThe Journal of the Acoustical Society of America, 1997
- The discrete polynomial-phase transformIEEE Transactions on Signal Processing, 1995
- Linear FM signal parameter estimation from discrete-time observationsIEEE Transactions on Aerospace and Electronic Systems, 1991