We study the advantages and performance of an impulse sonar that uses
the short, energetic pulses emerging from underwater explosions as its
sources. This transient analysis is carried out for various simple ta
rgets of interest, in the time-domain, in the frequency domain and in
the combined time-frequency domain. The first two, more traditional, a
pproaches are contrasted with a third and more recent processing schem
e in the combined time-frequency domain, which utilizes the windowed o
r pseudo-Wigner distribution (PWD). This third processing approach exh
ibits the time-evolution of the target resonances in a more informativ
e way and it is seen to offer additional advantages for target identif
ication purposes. We display calculations showing the quite different
patterns generated by the echo of each target, which can then be used
unambiguously and remotely to characterize them. The procedure, implem
ented here for the PWD, could be repeated using any of the many distri
bution members of the general bilinear class.