2011-08-29
Detection and Estimation of Multi-Component Polynomial Phase Signals by Constructing Regular Cross Terms
By
Progress In Electromagnetics Research M, Vol. 20, 143-153, 2011
Abstract
A regular cross terms algorithm is derived for the parameter estimation of the multi-component polynomial phase signals in additive white Gaussian noise. The basic idea is first to separate its phase parameters into two sets by nonlinear procedures£¬and then each set has half of the parameters in its auto-terms. Furthermore, using two linear transforms to deal with the two signals respectively, the phase coefficients of cross terms can be regulated for the identification and elimination of false peaks caused by the cross terms. Simulations are presented to illustrate the performance of the proposed algorithm.
Citation
Xihui Zhang, Jingye Cai, Lianfu Liu, and Yuanwang Yang, "Detection and Estimation of Multi-Component Polynomial Phase Signals by Constructing Regular Cross Terms," Progress In Electromagnetics Research M, Vol. 20, 143-153, 2011.
doi:10.2528/PIERM11071110
References

1. Lim, K.-S. and V. C. Koo, "Design and construction of wideband Vna ground-based radar system with real and synthetic aperture measurement capabilities," Progress In Electromagnetics Research, Vol. 86, 259-275, 2008.
doi:10.2528/PIER08092204        Google Scholar

2. Sabry, R. and P. W. Vachon, "Advanced polarimetric synthetic aperture radar (SAR) and electro-optical (Eo) data fusion through unified coherent formulation of the scattered EM field," Progress In Electromagnetics Research, Vol. 84, 189-203, 2008.
doi:10.2528/PIER08071005        Google Scholar

3. Zhao, Y. W., M. Zhang, and H. Chen, "An effcient ocean SAR raw signal simulation by employing fast Fourier transform," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 16, 2273-2284, 2010.
doi:10.1163/156939310793699064        Google Scholar

4. Grouffaud, J., P. Larzabal, A. Ferreol, and H. Clergeot, "Adaptive maximum likelihood algorithms for the blind tracking of time-varying multipath channels," International Journal of Adaptive Control and Signal Processing, Vol. 12, No. 2, 207-222, 1998.
doi:10.1002/(SICI)1099-1115(199803)12:2<207::AID-ACS488>3.0.CO;2-H        Google Scholar

5. Ikram, M. Z. and G. Tong Zhou, "Estimation of multicomponent polynomial phase signals of mixed orders," Signal Processing, Vol. 81, No. 11, 2293-2308, Nov. 2001.
doi:10.1016/S0165-1684(01)00095-0        Google Scholar

6. Ferrari, A., C. Theys, and G. Alengrin, "Polynomial-phase signal analysis using stationary moments," Signal Processing, Vol. 54, No. 3, 239-248, Nov. 1996.
doi:10.1016/S0165-1684(96)00110-7        Google Scholar

7. Angeby, J., "Estimating signal parameters using the nonlinear instantaneous least squares approach," IEEE Trans. Signal Process., Vol. 48, No. 10, 2721-2732, Oct. 2000.        Google Scholar

8. Wu, Y., H. C. So, and H. Liu, "Subspace-based algorithm for parameter estimation of polynomial phase signals," IEEE Trans. Signal Process., Vol. 56, No. 10, Oct. 2008.        Google Scholar

9. Peleg, S. and B. Porat, "Estimation and classification of polynomial phase signals," IEEE Trans. Inf. Theory, Vol. 37, 422-431, Mar. 1991.
doi:10.1109/18.75269        Google Scholar

10. Wang, Y. and G. Zhou, "On the use of high-order ambiguity function for multi-component polynomial phase signals," Signal Processing, Vol. 65, No. 2, 283-296, Mar. 1998.
doi:10.1016/S0165-1684(97)00224-7        Google Scholar

11. Wang, Y. and Y. C. Jiang, "New time-frequency distribution based on the polynomial Wigner-Ville distribution and L class of Wigner-Ville distribution," IET Signal Process., Vol. 4, No. 2, 130-136, 2010.
doi:10.1049/iet-spr.2009.0026        Google Scholar

12. Pham, D. S. and A. M. Zobir, "Analysis of multicomponent polynomial phase signals," IEEE Trans. Signal Process., Vol. 55, No. 1, Jan. 2007.
doi:10.1109/TSP.2006.882085        Google Scholar

13. Barbarossa, S., A. Scaglione, and G. B. Giannakis, "Product high-order ambiguity function for multicomponent polynomial-phase signal modeling," IEEE Trans. Signal Process., Vol. 46, 691-708, Mar. 1998.
doi:10.1109/78.661336        Google Scholar

14. Barkat, B. and B. Boashash, "Design of higher order polynomial Wigner-Ville distributions," IEEE Trans. Signal Process., Vol. 47, No. 9, 2608-2611, Sep. 1999.
doi:10.1109/78.782225        Google Scholar

15. Viswanath, G. and T. V. Sreenivas, "IF estimation using higher order TFRs," Signal Processing, Vol. 82, No. 2, 127-132, Feb. 2000.
doi:10.1016/S0165-1684(01)00168-2        Google Scholar

16. O'Shea, P. and R. A. Wiltshire, "A new class of multilinear functions for polynomial phase signal analysis," IEEE Trans. Signal Process., Vol. 57, No. 6, Jun. 2009.
doi:10.1109/TSP.2009.2014811        Google Scholar

17. Cornu, C., S. Stankovic, C. Ioana, A. Quinquis, and L. Stankovic, "Generalized representation of phase derivatives for regular signals," IEEE Trans. Signal Process., Vol. 55, No. 10, 4831-4838, Oct. 2007.
doi:10.1109/TSP.2007.896280        Google Scholar

18. Wang, P., I. Djurovic, and J. Yang, "Generalized high-order phase function for parameter estimation of polynomial phase signal," IEEE Trans. Signal Process., Vol. 54, No. 7, 3023-3028, Jul. 2008.        Google Scholar