On geometric sequences of reflection coefficients and Gaussian autocorrelations

The author shows that by interpreting the lattice filter as a discrete transmission line, the problem of determining the reflection coefficients associated with a Gaussian autocorrelation can be solved easily using the Schur algorithm. These reflection coefficients have been shown to be in geometric progression; it is claimed that this has been done in a much simpler and more enlightening manner than in the presentation of G. Jacoriti and G. Scarano (see ibid., vol.75, no.7, p.960-961, 1987). The geometric progression of reflection coefficients leads to a stationarity property of the discrete transmission line, which accounts for the striking simplicity of the expressions for the waves traveling in the line.<
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