Wide time-bandwidth (TW) product signals have been used historically in radar and communications for practical applications. Matched filter processing gain for these signals is predictable and offers highly attractive performance in the presence of gaussian noise. However, for sonar applications the interfering noise and reverberation cause serious degradation. Random scatterers within the sonar beam generate a signal-like return which degrades matched-filter processing gain. A matrix of model parameters has been generated in this performance study for signal design. The normal ping history shows high volume reverberation at short ranges and low doppler shift. Corresponding low signal-to-reverberation (S/R) is noted at long ranges as the character of signal interference changes to a more nearby gaussian form. Various TW product signals have been studied for FM Slides, Pseudorandom coded sequences, etc., for comparison to unity TW product signals. A range of both SNR and S/R has been used. Results suggest that a real-time composite of wide TW product signal designs is optimum for simultaneous detection at both extremes of search range.