Mismatched filter design for pulse compression

A mismatched filter design is introduced for periodic sequences where the receiver filter coefficients are optimized with the property that all sidelobes of the output signal are (identical) zero. Some results, especially for binary sequences are given, and it is shown that for each code length N>2 there exists at least one sequence (and a corresponding mismatched filter) that has a periodic of aperiodic autocorrelation function with an impulselike form with a low sidelobe level.<
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