Gaussian filters and filter synthesis using a Hermite/Laguerre neural network

A neural network for calculating the correlation of a signal with a Gaussian function is described. The network behaves as a Gaussian filter and has two outputs: the first approximates the noisy signal and the second represents the filtered signal. The filtered output provides improvement by a factor often in the signal-to-noise ratio. A higher order Gaussian filter was synthesized by combining several Hermite functions together.