An one-to-one integer-number map closed to the continuous pattern

Abstract

This paper is devoted to the one-to-one integer-number maps derived from the piecewise linear maps. Such digital maps usually produce several periodic sequences. The sequences can be concatenated to the long one. After that the new map can be easy assigned to the long sequence. Such map is generally characterized by local deviations from original shape of the map. In this paper, optimized concatenation with the suppressed deviations is proposed and shown. An integer-number sequence can be transformed to the binary sequence. The proposed concatenated maps were applied onto generating binary spreading sequences for the asynchronous DS/CDMA system. Good correlation properties of these sequences were verified.