MISMATCHED FILTERING OF ODD-PERIODIC BINARY SEQUENCES

Binary sequences with perfect periodic autocorrelation functions, as r equired in communications, radar, and measuring, are not known for any lengths > 4. As a possible remedy, mismatched filtering can be used t o entirely suppress any sidelobes of the periodic autocorrelation func tion at the expense of a reduced signal-to-noise ratio (SNR). In this work, the mismatched filtering method Is extended to the odd-periodic autocorrelation function whose technical implementation is no more com plex than that of periodic sequences. A new class of odd-periodic bina ry sequences is constructed that exist for many more lengths and exhib it significantly lower mismatched filtering losses than any known peri odic sequences.