Reflections from a multilayer medium overlap when a source pulse is longer than the travel time between layers,
as arises in geophysics and ground penetrating radar for mine detection. We propose an optical system to
deconvolve out the source pulse by spectral factorization. The received signal is entered into a liquid crystal
joint transform correlator to compute an autocorrelation function. The autocorrelation function is used in an
optical dataflow computer to compute the linear prediction or autoregressive coefficients which are then used to
provide the reflection coefficients for each layer.