We consider pulse propagation in a linear anomalously dispersive medium whe
re the group velocity exceeds the speed of light in vacuum (c) or even beco
mes negative. A signal velocity is defined operationally based on the optic
al signal-to-noise ratio, and is computed for cases appropriate to the rece
nt experiment where such a negative group velocity was observed. It is foun
d that quantum fluctuations limit the signal velocity to values less than c
.