Doppler resilient Golay complementary waveforms

IEEE Transactions on Information Theory

Volumn 54, Issue 9, 2008, Pages 4254-4266

  Pezeshki, Ali ^a,b   Calderbank, A Robert ^a   Moran, William ^c   Howard, Stephen D ^d  

^a PRINCETON UNIVERSITY   (United States)

^b Department of Mechanical Engineering   (United States)

^c UNIVERSITY OF MELBOURNE   (Australia)

^d DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

Author keywords

Ambiguity function; Doppler resilient waveforms; Golay complementary sequences; Prouhet Thue Morse sequence; Radar polarimetry; Range sidelobe suppression

Indexed keywords

DOPPLER EFFECT;

AMBIGUITY FUNCTION; DOPPLER RESILIENT WAVEFORMS; GOLAY COMPLEMENTARY SEQUENCES; PROUHET-THUE-MORSE SEQUENCE; RADAR POLARIMETRY; RANGE SIDELOBE SUPPRESSION;

MATRIX ALGEBRA;

EID: 51349091148     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.928292     Document Type: Article

References (48)

1. N. Levanon and E. Mozeson, Radar Signals. New York: Wiley, 2004.
2. R. C. Heimiller, "Phase shift pulse codes with good periodic correlation properties," IRE Trans. Inf. Theory, vol. IT-7, no. 4, pp. 254-257, Oct. 1961.
3. R. L. Frank, "Polyphase codes with good nonperiodic correlation properties," IEEE Trans. Inf. Theory, vol. IT-9, no. 1, pp. 43-45, Jan. 1963.
4. D. C. Chu, "Polyphase codes with good periodic correlation properties," IEEE Trans. Inf. Theory, vol. IT-18, no. 4, pp. 531-532, Jul. 1972.
5. R. H. Barker, "Group synchronizing of binary digital sequences," in Communication Theory, W. Jackson, Ed. London, U.K.: Butteworth, 1953, pp. 273-287.
6. S. W. Golomb and R. A. Scholtz, "Generalized Barker sequences," IEEE Trans. Inf. Theory, vol. IT-11, no. 4, pp. 533-537, Oct. 1965.
7. M. J. E. Golay, "Complementary series," IRE Trans. Inf. Theory, vol. IT-7, no. 2, pp. 82-87, Apr. 1961.
8. R. J. Turyn, "Ambiguity functions of complementary sequences," IEEE Trans. Inf. Theory, vol. IT-9, no. 1, pp. 46-47, Jan. 1963.
9. G. R. Welti, "Quaternary codes for pulsed radar," IRE Trans. Inf. Theory, vol. IT-6, no. 3, pp. 400-408, Jun. 1960.
10. Y. Taki, M. Miyakawa, M. Hatori, and S. Namba, "Even-shift orthogonal sequences," IEEE Trans. Inf. Theory, vol. IT-15, no. 2, pp. 295-300, Mar. 1969.
11. C. C. Tseng and C. L. Liu, "Complementary sets of sequences," IEEE Trans. Inf. Theory, vol. IT-18, no. 5, pp. 644-652, Sep. 1972.
12. R. Sivaswami, "Multiphase complementary codes," IEEE Trans. Inf. Theory, vol. IT-24, no. 5, pp. 546-552, Sep. 1978.
13. R. L. Frank, "Polyphase complementary codes," IEEE Trans. Inf. Theory, vol. IT-26, no. 6, pp. 641-647, Nov. 1980.
14. S. D. Howard, A. R. Calderbank, and W. Moran, "A simple polarization diversity technique for radar detection," in Proc. 2nd Int. Conf. Waveform Diversity and Design, Lihue, HI, Jan. 2006.
15. S. D. Howard, A. R. Calderbank, and W. Moran, "A simple signal processing architecture for instantaneous radar polarimetry," IEEE Trans. Inf. Theory, vol. 53, no. 4, pp. 1282-1289, Apr. 2007.
16. A. R. Calderbank, S. D. Howard, W. Moran, A. Pezeshki, and M. Zoltowski, "Instantaneous radar polarimetry with multiple dually-polarized antennas," in Conf. Rec. 40th Asilomar Conf. Signals, Systemas and Computers, Pacific Grove, CA, Oct. 2006, pp. 757-761.
17. S. J. Searle and S. D. Howard, "A novel polyphase code for sidelobe suppression," in Proc. Int. Waveform Diversity and Design Conf., Pisa, Italy, Jun. 2007, pp. 377-381.
18. S. J. Searle and S. D. Howard, "A novel nonlinear technique for sidelobe suppression in radar," in Proc. Int. Conf. Radar Systems Edinburgh, U.K., Oct. 2007.
19. K. Harman and B. Hodgins, "Next generation of GUIDAR technology," IEEE Aerosp. Electron. Syst. Mag., vol. 20, no. 5, pp. 16-26, Mar. 2005.
20. N. Suehiro and M. Hatori, "N-shift cross-orthogonal sequences," IEEE Trans. Inf. Theory, vol. 34, no. 1, pp. 143-146, Jan. 1988.
21. T. A. Wilkinson and A. E. Jones, "Minimization of the peak-to-mean envelope power ratio of multicarrier transmission scheme by block coding," in Proc. IEEE Vehicular Technology Conf. (VTC), Chicago, IL, Jul. 1995, pp. 825-829.
22. R. J. van Nee, "OFDM codes for peak-to-average power reduction and error correction," in Proc. IEEE Global Telecom. Conf. (GLOBECOM London, U.K., Nov. 1996, pp. 740-744.
23. H. Ochiai and H. Imai, "Block coding scheme based on complementary sequences for multicarrier signals," IEICE Trans. Fundamentals, vol. E80-A, pp. 2136-2146, 1997.
24. J. A. Davis and J. Jedwab, "Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2397-2417, Nov. 1999.
25. K. G. Paterson, "Generalized Reed-Muller codes and power control in OFDM modulation," IEEE Trans. Inf. Theory, vol. 46, no. 1, pp. 104-120, Jan. 2000.
26. K. Schmidt, "On cosets of the generalized first-order Reed-Muller code with low PMEPR," IEEE Trans. Inf. Theory, vol. 52, no. 6, pp. 3220-3232, Jun. 2006.
27. K. Schmidt and A. Finger, "Constructions of complementary sequences for power-controlled OFDM transmission," in Proc. Workshop on Coding and Cryptography (WCC) 2005 (Lecture Notes in Computer Science . Berlin, Germany: Springer-Verlag, 2006.
28. M. Ku and C. Huang, "A complementary code pilot-based transmitter diversity technique for OFDM systems," IEEE Trans. Wireless Commun. vol. 5, no. 3, pp. 504-508, Mar. 2006.
29. H. H. Chen, J. F. Yeh, and N. Seuhiro, "A multi-carrier CDMA architecture based on orthogonal complementary codes for new generation of wideband wireless communications," IEEE Commun. Mag., vol. 39, no. 10, pp. 126-135, Oct. 2001.
30. H. H. Chen, H. W. Chin, and M. Guizani, "Orthogonal complementary codes for interference-free CDMA technologies," IEEE Wireless Commun. Mag. vol. 13, no. 1, pp. 68-79, Feb. 2006.
31. S. M. Tseng and M. R. Bell, "Asynchronous multicarrier DS-CDMA using mutually orthogonal complementary sets of sequences," IEEE Trans. Commun., vol. 48, no. 1, pp. 53-59, Jan. 2000.
32. L. Lu and V. K. Dubey, "Extended orthogonal polyphase codes for multicarrier CDMA system," IEEE Commun. Lett., vol. 8, no. 12, pp. 700-702, Dec. 2004.
33. H. P. Lim, "Cyclic shifted orthogonal complementary codes for multicarrier CDMA systems," IEEE Commun. Lett., vol. 10, no. 6, pp. 1-3, Jun. 2006.
34. X. Li, "Contention resolution in random-access wireless networks based on orthogonal complementary codes," IEEE Trans. Commun., vol. 52, no. 1, pp. 82-89, Jan. 2004.
35. R. Sivaswami, "Self-clutter cancellation and ambiguity properties of subcomplementary sequences," IEEE Trans. Aerosp. Electron. Syst., vol. AES-18, no. 2, pp. 163-181, Mar. 1982.
36. J. Guey and M. R. Bell, "Diversity waveform sets for delay-Doppler imaging," IEEE Trans. Inf. Theory, vol. 44, no. 4, pp. 1504-1522, Jul. 1998.
37. F. F. Kretschmer and B. L. Lewis, "Doppler properties of polyphase coded pulse-compression waveforms," IEEE Trans. Aerosp. Electron. Syst., vol. AES-19, no. 4, pp. 521-531, Apr. 1983.
38. P. B. Rapajik and R. A. Kennedy, "Merit factor based comparison of new polyphase sequences," IEEE Commun. Lett., vol. 2, no. 10, pp. 269-270, Oct. 1998.
39. T. Felhauer, "New class of polyphase pulse compression code with unique characteristics," Electron. Lett., vol. 28, no. 8, pp. 769-771, Apr. 1992.
40. T. Felhauer, "Design and analysis of new P(n. k) polyphase pulse compression codes," IEEE Trans. Aerosp. Electron. Syst., vol. AES-30, no. 3, pp. 865-874, Jul. 1994.
41. H. A. Khan, Y. Zhang, C. Ji, C. J. Stevens, D. J. Edwards, and D. O'Brien, "Optimizing polyphase sequences for orthogonal netted radar," IEEE Signal Process. Lett., vol. 13, no. 10, pp. 589-592, Oct. 2006.
42. H. Deng, "Polyphase code design for orthogonal netted radar systems," IEEE Trans. Signal Process., vol. 52, no. 11, pp. 3126-3135, Nov. 2004.
43. E. Prouhet, "Mèmoire sur quelques relations entre les puissances des nombres," C. R. Acad. Sci. Paris Sér., vol. I 33, p. 225.
44. M. Morse, "Recurrent geodesics on a surface of negative curvature," Trans. Amer. Math. Soc., vol. 22, pp. 84-100, 1921.
45. J. P. Allouche and J. Shallit, Automatic Sequences: Theory, Applications, Generalizations. Cambridge, U.K.: Cambridge Univ. Press, 2003.
46. J. P. Allouche and J. Shallit, "The ubiquitous Prouhet-Thue-Morse sequence," in Sequences and Their Applications, Proc. SETA'98, T. H. C. Ding and H. Niederreiter, Eds. Berlin, Germany: Springer-Verlag, 1999, pp. 1-16.
47. D. H. Latimer, "The Tarry-Escott problem," Scripta Math., vol. 13, pp. 37-41, 1947.
48. S. Alamouti, "A simple transmit diversity technique for wireless communications," IEEE J. Select. Areas Commun., vol. 16, no. 8, pp. 1451-1458, Oct. 1998.