OPTIMAL FILTERING WITH LINEAR CANONICAL-TRANSFORMATIONS

Optimal filtering with linear canonical transformations allows smaller mean-square errors in restoring signals degraded by linear time- or s pace-variant distortions and non-stationary noise. This reduction in e rror comes at no additional computational cost. This is made possible by the additional flexibility that comes with the three free parameter s of linear canonical transformations, as opposed to the fractional Fo urier transform which has only one free parameter, and the ordinary Fo urier transform which has none. Application of the method to severely degraded images is shown to be significantly superior to filtering in fractional Fourier domains in certain cases.