Design of a pseudorandom reference codes for reduced sidelobes and spectrally clean out-of-band emissions using an extended optimal filtering approach

In this paper we propose an extended version of the classical optimal filtering techniques to be used with binary noise codes, called m-sequences, and complementary codes. We introduce here extended optimal filters to achieve lower ACF sidelobe levels and spectrally clean waveforms with out-of-band suppression (OBS) levels directly proportional to the filter length.