Performance Difference Between Differently-Coded, Same-Length, Binary Complementary Pairs

Radar pulse waveforms, binary-coded according to Golay's complementary pairs, exhibit two valuable properties: (a) Pulse-compression to the duration of one code element, (b) Zero autocorrelation (ACF) sidelobes for the entire pulse duration. Number theorists are interested in enumerating as many different code sequences as possible. However, radar engineers may ponder the value of a large selection of different sequences (at a given length) beyond the benefit of enhanced waveform diversity. The paper considers two sequence-dependent properties: (a) The height of the recurrent ACF peaks around delay equal to odd number of PRIs, (b) The delay-Doppler response, namely, the ambiguity function.