Doppler resilient Golay complementary waveforms

被引:187
作者
Pezeshki, Ali [1 ]
Calderbank, A. Robert [1 ]
Moran, William [2 ]
Howard, Stephen D. [3 ]
机构
[1] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA
[2] Univ Melbourne, Dept Elect Engn & Comp Sci, Melbourne, Vic 3010, Australia
[3] Def Sci & Technol Org, Edinburgh 5111, Australia
基金
美国国家科学基金会;
关键词
ambiguity function; Doppler resilient waveforms; Golay complementary sequences; Proubet-Thue-Morse sequence; radar polarimetry; range sidelobe suppression;
D O I
10.1109/TIT.2008.928292
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We describe a method of constructing a sequence (pulse train) of phase-coded waveforms, for which the ambiguity function is free of range sidelobes along modest Doppler shifts. The constituent waveforms are Golay complementary waveform's which have ideal ambiguity along the zero Doppler axis but are sensitive to nonzero Doppler shifts. We extend this construction to multiple dimensions, in particular to radar polarimetry, where the two dimensions are realized by orthogonal polarizations. Here we determine a sequence of two-by-two Alamouti matrices where the entries involve Golay pairs and for which the range sidelobes associated with a matrix-valued ambiguity function vanish at modest Doppler shifts. The Prouhet-Thue-Morse sequence plays a key role in the construction of Doppler resilient sequences of Golay complementary waveforms.
引用
收藏
页码:4254 / 4266
页数:13
相关论文
共 48 条
[1]   A simple transmit diversity technique for wireless communications [J].
Alamouti, SM .
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 1998, 16 (08) :1451-1458
[2]  
Allouche J.-P., 2003, Automatic Sequences: Theory, Applications, Generalizations
[3]  
Allouche Jean-Paul, 1999, Sequences and Their Applications. Discrete Mathematics and Theoretical Computer Science, P1, DOI [DOI 10.1007/978-1-4471-0551-0_1, 10.1007/978-1-4471-0551-0_1]
[4]  
Barker R. H., 1953, Communication Theory, P273
[5]  
Calderbank AR, 2006, CONF REC ASILOMAR C, P757
[6]   Orthogonal complementary codes for interference-free CDMA technologies [J].
Chen, HH ;
Chiu, HW ;
Guizani, M .
IEEE WIRELESS COMMUNICATIONS, 2006, 13 (01) :68-79
[7]   A multicarrier CDMA architecture based on orthogonal complementary codes for new generations of wideband wireless communications [J].
Chen, HH ;
Yeh, JF ;
Suehiro, N .
IEEE COMMUNICATIONS MAGAZINE, 2001, 39 (10) :126-135
[9]   Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes [J].
Davis, JA ;
Jedwab, J .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (07) :2397-2417
[10]   Polyphase code design for orthogonal netted radar systems [J].
Deng, H .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (11) :3126-3135