volume | PIER Journals

Abstract

For the chirp rate and its change rate estimation of cubic phase signal (CPS), conventional algorithms cannot achieve a trade-off between low computational cost and high performance. In this paper, by utilizing the numerical computational method (NCM), effects of Doppler frequency shift are quantified, and the relationships of the optimal signal length with the chirp rate and change rate of chirp rate are obtained. Then a fast parameter estimation algorithm (DMNUFFT), based on dechirp method (DM) and nonuniform fast Fourier transform (NUFFT), is proposed. Compared with existing algorithms, DMNUFFT can achieve high performance with relatively low computational cost. The performance analyses and an application to inverse synthetic aperture radar (ISAR) imaging are shown to validate the effectiveness of DMNUFFT.

1. Peleg, S. and P. Porat, "Linear FM signal parameter estimation from discrete-time observations," IEEE Trans. Aerosp. Electron. Syst., Vol. 27, No. 4, 607-616, Jul. 1991. Google Scholar

2. O'Shea, P., "A new technique for instantaneous frequency rate estimation," IEEE Signal Process. Lett., Vol. 9, No. 8, 251-252, Aug. 2002. Google Scholar

3. O'Shea, P., "A fast algorithm for estimating the parameters of a uadratic FM signal," IEEE Trans. Signal Process., Vol. 52, No. 2, 385-393, Feb. 2004. Google Scholar

4. Wang, Y. and Y. C. Jiang, "ISAR imaging of a ship target using product high order matched-phase transform," IEEE Geosci. Remote Sens. Lett., Vol. 6, No. 4, 658-661, Jun. 2009. Google Scholar

5. Wang, Y., "Inverse synthetic aperture radar imaging of manoeuvring target based on range-instantaneous-Doppler and range-instantaneous-chirp-rate algorithms," IET Radar, Sonar and Navigation, Vol. 6, No. 9, 921-928, Jul. 2012. Google Scholar

6. Wang, Y. and Y. Jiang, "Inverse synthetic aperture radar imaging of manoeuvring target based on the product generalized cubic phase function," IEEE Geosci. Remote Sens. Lett., Vol. 8, No. 5, 958-962, Sep. 2011. Google Scholar

7. O'Shea, P., "Improving polynomial phase parameter estimation by using nonuniformly spaced signal sample method," IEEE Trans. Signal Process., Vol. 60, No. 7, 3405-3414, Jul. 2012. Google Scholar

8. Li, Y., R. Wu, M. Xing, and Z. Bao, "Inverse synthetic aperture radar imaging of ship target with complex motion," IET Radar, Sonar and Navigation, Vol. 2, No. 6, 395-403, eb. 2008. Google Scholar

9. Yuan, X., "Direction-finding wideband linear FM sources with triangular arrays," IEEE Trans. Aerosp. Electron. Syst., Vol. 48, No. 3, 2416-2425, Jul. 2012. Google Scholar

10. Yuan, X., "Estimating the DOA and the polarization of a polynomial-phase signal using a single polarized vector-sensor," IEEE Trans. Signal Process., Vol. 60, No. 3, 1270-1282, Mar. 2012. Google Scholar

11. Abatzoglou, T. J., "Fast maximum likelihood joint estimation of frequency and frequency rate," IEEE Trans. Aerosp. Electron. Syst., Vol. 22, No. 6, 708-715, Nov. 1986. Google Scholar

12. Wu, L., X. Wei, D. Yang, H. Wang, and X. Li, "ISAR imaging of targets with complex motion based on discrete chirp Fourier transform for cubic chirps," IEEE Trans. Geosci. Remote Sens., Vol. 50, No. 10, 4201-4212, Oct. 2012. Google Scholar

13. Tao, R., N. Zhang, and Y. Wang, "Analysing and compensating effects of range and Doppler frequency migrations in linear frequency modulation pulse compression radar," IET Radar, Sonar and Navigation, Vol. 5, No. 1, 12-22, Jan. 2011. Google Scholar

14. Yasotharan, A. and T. Thayaparan, "Strengths and limitations of the Fourier method for detecting acceleration targets by pulse Doppler radar," IEE Proc. Radar, Sonar and Navigation, Vol. 149, No. 2, 83-88, Apr. 2002. Google Scholar

15. Peng, X., W. Tan, Y. Wang, W. Hong, and Y. Wu, "Convolution back-projection imaging algorithm for downward-looking sparse linear array three dimensional synthetic aperture radar," Progress In Electromagnetics Research, Vol. 129, 287-313, 2012. Google Scholar

16. Liu, Q., "An accurate algorithm for nonuniform fast Fourier transforms (NUFFT's)," IEEE Microwave and Guided Wave Letters, Vol. 8, No. 1, 18-20, Jan. 1998. Google Scholar

17. Zhang, Y., W. Zhai, X. Zhang, X. Shi, X. Gu, and Y. Deng, "Ground moving train imaging by KU-band radar with two receiving channels," Progress In Electromagnetics Research, Vol. 130, 493-512, 2012. Google Scholar

18. Park, S. H., J. I. Park, and K. T. Kim, "Motion compensation for squint mode spotlight SAR imaging using efficient 2D interpolation," Progress In Electromagnetics Research, Vol. 128, 503-518, 2012. Google Scholar

19. Li, Y., M. Xing, J. Su, Y. Quan, and Z. Bao, "A new algorithm of ISAR imaging for maneuvering targets with low SNR," IEEE Trans. Aerosp. Electron. Syst., Vol. 49, No. 1, 543-557, Nov. 2013. Google Scholar

20. Park, S. H., J. H. Lee, and K. T. Kim, "Performance analysis of the scenario-based construction method for real target ISAR recognition," Progress In Electromagnetics Research, Vol. 128, 137-151, 2012. Google Scholar

21. Park, J. H. and N. H. Myung, "Enhanced and efficient ISAR imaging focusing using the discrete gabor representation in an oversampling scheme," Progress In Electromagnetics Research, Vol. 138, 227-244, 2013. Google Scholar

22. Golden, S. and B. Friedlander, "Estimation and statistical analysis of exponential polynomial signals," IEEE Trans. Signal Process., Vol. 46, No. 11, 3127-3130, Nov. 1998. Google Scholar

Dr. Jibin Zheng

Dr. Tao Su

Prof. Qing Huo Liu

Dr. Long Zhang

Dr. Wentao Zhu