A Class of Frequency Hop Codes with Nearly Ideal Characteristics for Use in Multiple-Access Spread-Spectrum Communications and Radar and Sonar Systems

IEEE Transactions on Communications

Volumn 40, Issue 9, 1992, Pages 1442-1447

  Marie, Svetislav V ^a   Titlebaum, Edward L ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CODES (SYMBOLS); PROBABILITY; RADAR; SONAR;

FREQUENCY HOPPING CODES; HYPERBOLIC FREQUENCY HOP CODES; MINIMUM ERROR PROBABILITY; MULTIPLE-ACCESS SPREAD SPECTRUM COMMUNICATION; MULTIUSER RADAR; MULTIUSER SONAR;

SPREAD SPECTRUM COMMUNICATION;

EID: 0026923092     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/26.163565     Document Type: Article

References (15)

1. G. Einarsson, “Address assignment for a time-frequency-coded spread-spectrum system,” Bell Syst. Tech. J., pp. 1241–1255, Sept. 1980.
2. I. S. Reed and G. Solomon, “Polynomial codes over certain finite fields,” J. Soc. Indust. Appl. Mathemat., pp. 300–304, Aug. 1960.
3. J. P. Costas, “A study of a class of detection waveforms having nearly ideal range-Doppler ambiguity properties,” Proc. IEEE, vol. 72, pp. 996–1009, Aug. 1984.
4. S. W. Golomb and H. Taylor, “Construction and properties of Costas arrays,” Proc. IEEE, vol. 72, pp. 1143–1163, Sept. 1984.
5. K. H. Rosen, Elementary Number Theory and its Applications. New York: Addison-Wesley, 1988.
6. A. J. Viterbi, “A processing satellite transponder for multiple-access by low-rate mobile users,” in Digit. Satell. Commun. Conf., 1968.
7. P. M. Woodard, Probability and Information Theory, with Applications to Radar. New York: Pergamon, 1953.
8. E. L. Titlebaum, “Time frequency hop signals — part 1: Coding based upon the theory of linear congruence,” IEEE Trans. Aerospace Electron. Syst., vol AES-17, pp. 490–494, July 1981.
9. A. Freedman and N. Levanon, “Any two n x n Costas signals must have at least one common ambiguity sidelobe if n > 3—A proof,” Proc. IEEE, vol. 73, pp. 1530–1532, Oct. 1985.
10. E. L. Titlebaum and S. V. Marie, “Multiuser sonar properties of Costas array frequency hop coded signals,” in Proc. IEEE ICASSP 1990, 1990.
11. S. V. Marie and E. L. Titlebaum, “Frequency hop multiple access codes based on the theory of cubic congruences,” IEEE Trans. Aerospace Electron. Syst., vol. 25, pp. 1035–1039, Nov. 1990.
12. R. M. Mersereau and T. S. Seay, “Multiple access frequency hopping patterns with low ambiguity,” IEEE Trans. Aerospace Electron. Syst., vol. AES-17, pp. 571–578, July 1981.
13. E. L. Titlebaum and L. H. Sibul, “Time frequency hop signals—part 2: Coding based upon quadratic congruences,” IEEE Trans. Aerospace Electron. Syst., vol. AES-17, pp. 494–501, July 1981.
14. W. Chang and K. Scarbrough, “Costas arrays with small number of cross-coincidences,” IEEE Trans. Aerospace Electron. Syst. pp. 109–113, Jan. 1989.
15. S. V. Marie, E. L. Titlebaum, and Z. Kostic, “Address assignment for multiple-access systems based upon the theory of congruence equations,” in Proc. IEEE GIOBECOM ‘89, 1989, pp. 283–287.