Optimum Costas-like decompositions of Costas arrays for channel characterization and communications

In the paper we show that any subset or decomposition of Costas arrays are themselves non-full Costas arrays with ideal auto-, and cross-ambiguity and multiple access properties. The decomposed waveform´s “thumbtrack” like auto-ambiguity functions, and their low cross-ambiguity or mutual interference would make them applicable in various multiple access and/or communication systems. The original Costas array and its subsets can be used individually in a matched filter receiver. Also for the single transmitted Costas array we can obtain several channel responses by generating and using several different subsets. The post processing can combine them in a semi-coherent processing scheme or as abutted waveforms for new techniques which require two waveform to provide enhanced range-Doppler resolution and reverberation rejection