Frequency-domain filters for time-windowed gravitational waves from inspira
ling compact binaries are constructed which combine the excellent performan
ce of our previously developed time-domain P approximants with the analytic
convenience of the stationary phase approximation without a serious loss i
n event rate. These Fourier-domain representations incorporate the ''edge o
scillations'' due to the (assumed) abrupt shutoff of the time-domain signal
caused by the relativistic plunge at the last stable orbit. These new anal
ytic approximations, the SPP approximants, are not only effectual for detec
tion and faithful for parameter estimation, but are also computationally in
expensive to generate (and are faster by factors up to 10, as compared to t
he corresponding time-domain templates). The SPP approximants should provid
e data analysts the Fourier-domain templates for massive black hole binarie
s of total mass m less than or similar to 40M(.), the most likely sources f
or LIGO and VIRGO.