An analysis of a modulated orthogonal sequence

A new sequence generation method and a method for reconstructing information symbols for a modulated orthogonal sequence are suggested: the sequence is generated by only integer sums and modular techniques. The autocorrelation and cross-correlation characteristics of the sequence are investigated via a new procedure. A modified sequence also having the orthogonality and satisfying the mathematical lower bound of the cross-correlation is proposed, and the symbol error probability of the sequence is investigated.