Multiplicative mismatched filters for sidelobe suppression in Barker codes

A mismatched filter, comprised of a matched filter in cascade with a parameterized multiplicative finite-duration impulse response (FIR) filter, is proposed. For a given mainlobe to sidelobe ratio, the proposed filter is longer than the length-optimal filters but uses fewer multipliers and adders. Results are shown for Barker codes of length 5, 7, 11, and 13 and extended to compound Barker codes.