  Among the binary sources of interest for LISA some are quasimonochromatic, in
the sense that the change in the gravitational wave frequency $\Delta f\lesssim
1\;\mbox{yr}^{-1}$ during the observation time. For these sources, we revisit
the stationary phase approximation (SPA) commonly used in Fisher matrix
calculations in the frequency domain and show how it is modified by the Doppler
shift induced by LISA's motion and by the LISA pattern functions. We compare
our results with previous work in the time domain and discuss the transition
from the quasimonochromatic case to the conventional SPA which applies when
$\Delta f\gtrsim 1\;\mbox{yr}^{-1}$.
