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We have begun a program to observe acoustic oscillations in solar-type stars. Timeseries of radial velocity variations in the stellar absorption lines are acquired using the high-resolution echelle spectrograph on the Palomar 200'' telescope. These measurements are Fourier transformed to search for periodicities which are the key signature of p-mode oscillations. Initial tests indicate that our technique is likely to provide sufficient sensitivity to measure the sub-$m/s$ Doppler amplitudes predicted for the oscillations. Our first target star, $\eta\ Cas$ (G0 V, $m_v=3.44$), was observed during 6 nights in Aug-Sept 1993. We present results of those observations.