Digital modulation method based on perfect binary arrays

Abstract

The aim is to develop the method of information transfer using perfect binary arrays, which is based on their structural and correlation properties. The properties of the equivalence class of perfect binary arrays are presented and proved in the paper. On the basis of the properties of  two-dimensional periodic cross-correlation functions between a base array and all the rest perfect binary arrays within the equivalence class the digital modulation method is proposed. This method can be used for transmission of discrete digital messages by means of cyclic wideband signals. The decoding of these signals can be implemented with a single filter matched with base perfect binary array. The proposed method can simplify hardware implementation of signal detection devices and solve the main problem of the radio communication, namely, greatly simplify the decoder circuit. The obtained results can be used in single channel synchronous communication systems with noise-like two-dimensional cyclic signals.