M-ary mutually orthogonal complementary gold codes

Author

Pereira, Joao S. ; da Silva, Henrique J. A.

Author_Institution

Inst. de Telecomun., Univ. de Coimbra, Coimbra, Portugal

fYear

2009

fDate

24-28 Aug. 2009

Firstpage

1636

Lastpage

1640

Abstract

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.

Keywords

Gold codes; binary codes; code division multiple access; cyclic codes; m-sequences; orthogonal codes; spread spectrum communication; ternary codes; M-ary ternary MOC binary Gold codes; aperiodic autocorrelation function; asynchronous bit detection; cyclic shift; direct sequence code division multiple access; multipath interference; mutually orthogonal complementary sequence; periodic autocorrelation function; Bit error rate; Correlation; Discrete Fourier transforms; Error correction; Fading; Gold; Multiaccess communication;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Conference, 2009 17th European

Conference_Location

Glasgow

Print_ISBN

978-161-7388-76-7

Type

conf

Filename

7077772