Title :
Gaussian filters and filter synthesis using a Hermite/Laguerre neural network
Author :
Mackenzie, Mark ; Tieu, Kiet
Author_Institution :
Dept. of Mech. Eng., Wollongong Univ., NSW, Australia
Abstract :
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.
Keywords :
Gaussian processes; filtering theory; neural nets; signal processing; Gaussian filters; Gaussian function; Hermite functions; Hermite/Laguerre neural network; filter synthesis; filtered output; filtered signal; higher order Gaussian filter; noisy signal; signal correlation; signal-to-noise ratio; Filtering; Filters; Gaussian noise; Instruments; Interpolation; Network synthesis; Neural networks; Polynomials; Signal synthesis; Signal to noise ratio; Neural Networks (Computer); Normal Distribution;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2003.820558
