The invention comprises a system for attenuating noise in seismic signals detected in a marine seismic streamer. In a particular implementation the system may comprise seismic detectors positioned in the streamer and interconnected to form a plurality of wavenumber filters, with each of the wavenumber filters attenuating signals within a range of wavenumbers. The output signals from the wavenumber filters are operatively connected to a plurality of band-pass filters, and the output signals of the band-pass filters are combined by summation means. The range of wavenumbers attenuated by the wavenumber filters and the passbands of the band-pass filters are selected so that in the output signal of the summation means, signals within a selected frequency range of interest propagating along the cable within a selected velocity range are attenuated and signals within the selected frequency range of interest having a velocity range outside the selected velocity range are preserved.