In this paper we develop and analyze real-time and accurate filters for nonlinear filtering problems based on the Gaussian distributions. We present the systematic formulation of Gaussian filters and develop efficient and accurate numerical integration of the optimal filter. We also discuss the mixed Gaussian filters in which the conditional probability density is approximated by the sum of Gau...

In the down link scenario of code division multiple access (CDMA) systems, multi user detectors (MUDs) such as linear de-correlating detector (LDDs) provide satisfactory symbol error rates (SERs) at the expense of much increased complexity, they require all active users’ spreading sequences, which is impractical from privacy point of view. To overcome this impracticality, a simple matched filte...

Face images from the Feret database [3] were convolved with a Gaussian filter and inputed to the CSU Face Identification Evaluation System (FES) [1]. Both the gallery and probe images were convolved with the Gaussian filter before being inputed to the FES. The probe images were convolved with the Gaussian filter to simulate optical defocus. The gallery images were convolved with the Gaussian fi...

This work investigates the information loss in a decimation system, i.e., in a downsampler preceded by an antialiasing filter. It is shown that, without a specific signal model in mind, the anti-aliasing filter cannot reduce information loss, while, e.g., for a simple signal-plus-noise model it can. For the Gaussian case, the optimal anti-aliasing filter is shown to coincide with the one obtain...