Minimax sidelobe reduction filtering for Huffman sequence autocorrelation function type signals

A solution is presented for the impulse response of an FIR sidelobe reduction filter, intended for signals consisting of a main lobe and two symmetrically spaced side-lobes, i.e. for signals of the Huffman sequence autocorrelation function type. The filter minimizes the output main-lobe level subject to a constraint on the maximum sidelobe level. It is shown that for those input signals with sidelobe levels that do not exceed half of the main-lobe level, the filter required can be represented uniquely as a parallel combination of zero-forcing filters. The tradeoff between the reduction of sidelobe level and the degradation of signal-to-noise ratio is examined