based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the korteweg-de vries (kdv) equation are first constructed by the known darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude de...

The effectiveness of small support spatial filters based on mean, median and morphological opening for the detection of scintillating ultra-dim stationary point targets in IR image sequences has been investigated. The effectiveness of two temporal filters was also studied. The filters were applied to two IR image sequences; an aircraft approaching in an uncluttered background, and an aircraft r...

Multichannel parametric filters are currently being studied as a means of reducing the dimension of STAP algorithms for interference rejection in airborne pulsed-Doppler radar systems. These filters are attractive to use due to the low computational cost associated with their implementation as well as their near optimal performance with a small amount of training data for a stationary environme...

Standardized hybrid video coding systems are based on motion compensated prediction with fractional-pel displacement vector resolution. In the recent JVT video coding scheme (MPEG-4 part 10, H.264) displacement vector resolutions of 1/4or 1/8-pel are applied. In order to estimate and compensate these fractional-pel displacements, interpolation filters are used. So far, these interpolation filte...

This paper communicates a novel method of Wiener filtering signals from scientific instruments to reduce their noise content. The main prerequisite for the applicability of this technique is that the pure (i.e. noiseless) signal is reproducible, a condition that is satisfied by a wide range of experimental measurements. The benefits of this Wiener filter design approach are its simplicity, gene...