  We present a theoretical study of the phase noise, intensity and quadrature
squeezing power spectra of the transmitted field of a driven optical cavity
containing an interacting one-dimensional Bose-Einstein condensate. We show how
the pattern of the output power spectrum of the cavity changes due to the
nonlinear effect of atomic collisions. Furthermore, it is shown that due to a
one-to-one correspondence between the splitting of the peaks in the phase noise
power spectrum of the cavity output field and the \textit{s}-wave scattering
frequency of the atom-atom interaction, one can measure the strength of
interatomic interaction. Besides, we show how the atomic collisions affect the
squeezing behavior of the output field.
