In general, Doppler parameters are the main reason that leads to degrading of the SAR (Synthetic Aperture Radar) imaging quality. Now the algorithms to estimate Doppler parameters mainly are Mapdrift, Phase Gradient Autofocus (PGA) algorithms and so on. The drawback of these algorithms lie in the fact that the high-order Doppler parameter can not be estimated, and need iteration during estimating. In this paper Product High-order Ambiguity Function (PHAF) is introduced to estimate the Doppler parameter in synthetic aperture radar. The new algorithm, which has the ability to estimate high order parameters, doesnt need any initial information on Doppler rate and it can be completed with clutter lock at the same time. The algorithm based on PHAF is presented and analyzed in detail. The autofocus result is compared between PHAF and MapDrift under the condition of low Signal Noise Ratio (SNB) and with the existence of high order phase errors. It shows that PHAF is faster, more robust and accurate; meanwhile, exact result is available when SNB is low, and finally the imaging results indicate that the PHAF can improve resolution of SAR image greatly.
Curlander J C and McDonough R N. Synthetic Aperture Radar-Systems and Signal Processing. New York: John Wiley amp; Sons, 1991: 222-237.[2]姚萍, 陈冰冰, 王贞松. 采用方位向自适应滤波器提高SAR自聚焦的性能[J].电子与信息学报.2003, 25(8):1066-1072. Yao Ping, Chen Bing-bing, and Wang Zhen-song. To improve the performance of autofocus in SAR images with an azimuth adaptive filter. Journal of Electronics and Information Technology, 2003, 25(8): 1066-1072.[3]Porchia A, Barbarossa S, and Scaglione A. Autofocusing techniques for SAR imaging based on the multilag high order ambiguity function. Proc. IEEE Int. Conf. Acoust., Speech and Signal Process., ICASSPrsquo;96 Atlanta(GA), May 1996: 2086-2090.[4]Barbarossa S, Scaglione A, and Giannakis G B. Product high-order ambiguity function for multicomponent polynomial-phase signal modeling[J].IEEE Trans. on Signal Processing.1998, 46(3):691-708[5]Peleg S and Friendlander B. The discrete polynomial-phase, transform[J].IEEE Trans. on Signal Processing.1995, 43(8):1901-1914[6]Zhou Guotong, Giannakis G B, and Swami A. On polynomial phase signals with time-varying amplitudes[J].IEEE Trans. on Signal Processing.1996, 44(4):848-861[7]Peleg S and Porat B. Estimation and classification of polynomial-phase signals[J].IEEE Trans. on Information Theory.1991, 37(2):422-430[8]Peleg S and Porat B. The Cramer-Rao lower bound for signals with constant amplitude and polynomial phase[J].IEEE Trans. on Signal Processing.1991, 39(3):749-752