M-Ary Mutually Orthogonal Complementary Gold Codes

Pereira, João; Silva, Henrique J.A. da

http://hdl.handle.net/10400.8/12979

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M-ary mutually orthogonal complementary gold codes.pdf	A method to obtain large sets of periodic conjugate symmetric sequences with perfect periodic autocorrelation functions is presented. Each of these perfect sequences can be transformed into two real sequences which are perfectly orthogonal for any cyclic shift. In this way, mutually orthogonal complementary (MOC) sequences derived from bipolar Gold codes can be transformed into M-ary MOC Gold codes. Ternary MOC Gold codes are the simpler implementation case and exist in large number. These Ternary MOC Gold codes provide a greater immunity to multi-path interferences than other codes, like Hadamard codes, Orthogonal Gold codes, Gold codes, and Complementary Golay codes, when a periodic or aperiodic autocorrelation function is used for asynchronous bit detection.	365.76 KB	Adobe PDF	Download

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Authors

Pereira, João

Silva, Henrique J.A. da

Abstract(s)

A method to obtain large sets of periodic conjugate symmetric sequences with perfect periodic autocorrelation functions is presented. Each of these perfect sequences can be transformed into two real sequences which are perfectly orthogonal for any cyclic shift. In this way, mutually orthogonal complementary (MOC) sequences derived from bipolar Gold codes can be transformed into M-ary MOC Gold codes. Ternary MOC Gold codes are the simpler implementation case and exist in large number. These Ternary MOC Gold codes provide a greater immunity to multi-path interferences than other codes, like Hadamard codes, Orthogonal Gold codes, Gold codes, and Complementary Golay codes, when a periodic or aperiodic autocorrelation function is used for asynchronous bit detection.

Description

17th European Signal Processing Conference, EUSIPCO 2009, 24 August 2009 through 28 August 2009 - Code 91099

Keywords

Gold Correlation Multiaccess communication Bit error rate Fading Discrete Fourier transforms Error correction

URI

http://hdl.handle.net/10400.8/12979

Citation

J. S. Pereira and H. J. A. da Silva, "M-ary mutually orthogonal complementary gold codes," 2009 17th European Signal Processing Conference, Glasgow, UK, 2009, pp. 1636-1640.