Multiplicative mismatched filters for optimum range sidelobe suppression in barker code reception

A system for suppressing one or more sidelobes of a matched filter output for a pulse compression code, the system comprising:

• a first filter, connected to and processing an output of a matched filter, coefficients of the first filter being represented as a first z domain polynomial series by subtracting a second term from a first term, the first term being a first adjustable parameter and the second term being a function of a z domain polynomial series representation of sidelobes of the matched filter output;
• and
• a second filter, connected to and processing the output of the first filter, the second filter comprising one or more filter stages wherein each of the one or more filter stages is represented by a separate z domain polynomial series as a sum of a third term and a fourth term,
• the third term being a second adjustable parameter and the fourth term being a function of the z domain polynomial series representation of the side-lobes raised to an integer power of 2.