A radar transmits dispersed pulses in which the subpulses are modulated by first and second mutually complementary code sequences, the autocorrelation functions of which are selected so that, in the sum of their autocorrelation functions, the main range lobes add, and the range sidelobes cancel. The received pulses with their Doppler sidebands are applied to a plurality of channels, each of which (except one) contains a mixer-oscillator combination that removes a specific Doppler phase shift along the range dimension at a different channel frequency. One channel has no mixer-oscillator because it is centered at a zero channel frequency. Within each channel, the received signals modulated by the first and second codes are matched-filtered by filters matched to the first and second codes, respectively, to produce first and second time-compressed pulses, each including (a) a main lobe representing the target range, and (b) undesirable range sidelobes. The first and second time compressed pulses are added together in each channel, to produce range pulses with suppressed range sidelobes. The channel signals, after pulse compression, delay, and addition, are each applied to one channel of a pulse-to-pulse Doppler filter bank. The outputs from the pulse-to-pulse Doppler filter bank are applied for further radar signal processing.