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Perfect Periodic Autocorrelation Codes Derived From M Sequences

Pereira, J. ; Silva, H. A.

Perfect Periodic Autocorrelation Codes Derived From M Sequences, Proc Conf. on Telecommunications - ConfTele, Santa Maria da Feira, Portugal, Vol. 1, pp. 165 - 168, May, 2009.

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A method to generate a large number of M-ary Perfect Periodic Autocorrelation (PPAC) codes of length N, with good correlation properties, is presented. N+1 perfect sequences are obtained if an inverse discrete Fourier transform (IDFT) is applied to a specific subset of N+1 bipolar sequences derived from maximal-length sequences. This set of perfect sequences has a maximum absolute value of periodic cross-correlation equal to the square root of N+1. Moreover, this absolute value is equal to 1 when all perfect sequences are in-phase.