Factored Multiplicative Mismatched Filters for Compound Barker Codes

In this paper, factored multiplicative mismatched filters for compound Barker codes are presented. It is based on factored representations of compound codes in the z-domain. The mismatched filter for the compound code is expressed as a cascade of the mismatched filters of the component codes. Multiplicative mismatched filters, recently introduced by the authors, are used as the filters for the component codes. The proposed filters are not optimal for the given filter length, but, due to their structured implementation, use fewer additions and multiplications per output than the length-optimal filters to achieve a given mainlobe to sidelobe ratio (MSR). Results are shown for various compound Barker codes.