Abstract: A sidelobe canceller for a transducer arrangement such as an antenna or sonar transducer uses a main transducer and one or more auxiliary transducers. The auxiliary received signals are weighted by FIR filters or by multipliers, and the weighted auxiliary signals are summed, and the summed, weighted auxiliary signals are subtracted from the main signal to produce the desired low-sidelobe main signal. The weighting signals are generated in conventional manner from intermediate weighted signals. The intermediate weighting signals are produced by a reduced-hardware arrangement. When FIR filters are used, the signals being multiplied by weights include mutually delayed samples.