Removing autocorrelation sidelobes of phase-coded waveforms

This paper studies autocorrelation properties of a train of identical signals overlaid with a phase coding in the case when the uncoded signal forming the train consists of several groups of identical bits. It is shown that, if the coding patterns are the rows of a mutually orthogonal complementary set matrix, the waveform's autocorrelation sidelobes around the main lobe area can be completely removed. At the same time, repetition of some bits of the uncoded signal can be used to achieve a low sidelobe level in the close vicinity of the main lobe.