Digital matched filter of reduced operation elements for M-ary/DS-SS system using real-valued shift-orthogonal finite-length sequences

A real-valued shift-orthogonal finite-length sequence has a sharp autocorrelation function with zero sidelobes except at shift ends, and can be synthesized by element sequences. We propose the structure of a digital matched filter for M-ary direct sequence spread spectrum (M-ary/DS-SS) system using the sequences and the reduction of operation elements of the digital matched filter. It is shown that this digital matched filter for M-ary/DS-SS systems can be constructed by multipliers and adders proportional to sequence length.