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Orthogonal Perfect DFT Golay Codes

Lanza-Gutierrez, J. ; Ferreira, M. P. M. F. ; Gomez-Pulido , J. ; Mendes, S. P. M. ; Pereira, J. ; Silva, H. A.

Scripta-Ingenia Vol. 5, Nº 1, pp. 13 - 16, December, 2015.

ISSN (print): 2183-6000
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Deciding about which coding sequences should be used is an important issue in many communication
systems, such as those employing Code Division Multiple Access (CDMA). In this paper, we propose a cascading
electronic codec based on a recursive algorithm for the generation of perfect sequences, derived from an Inverse
Discrete Fourier Transform (IDFT) of Golay codes. The sequences generated have a low Peak-to-Average Power Ratio
(PAPR), around 3 dB, which is the PAPR of a sine wave. The proposal is compared to the original Golay codes,
verifying that our codec provides better crosscorrelation and autocorrelation results, crucial to gain immunity to
multi-path interference.