Processing gains against reverberation (clutter) using matched filters

The Woodward ambiguity function is discussed in connection with the output of a matched filter. A formula for the treatment of sonar reverberation or radar clutter is set up in terms of the ambiguity function. This formula is applied to determine the effect of signal waveform on the output signal-to-reverberation power ratio of a matched filter for a simple distribution of randomized scatterers.