Taking the linear transformations of the image into a finite number of one dimensional (1-D) continuous functions as constraints, a new dual optimization method is introduced for formally deriving existing and new models for linear systems. The results are applied to Tomography and Spectral...

The set of block-pulse functions is applied to analyze the multirate sampled-data control systems. A recursive formula, which is convenient for computer computation, is obtained to compute the output of the system. One example is given at the last section to show the results obtained in this paper.

Algorithms for orthoganal transformations of one-dimensional and two-dimensional signals are presented. These algorithms are well suited for the implementation of parallel high speed VLSI signal processors. In particular they are characterized by their constant geometry accessing as well as...

The application of the Discrete Cosine Transform to image data compression is presented. In particular a fast algorithm is described for an efficient implementation of the transform. Both zonal and threshold sampling methods are considered and their performance is evaluated. Also a comparison of...

A reasonably extensive characterization of the structures of various communication systems using generalized Laguerre functions is presented. Emphasis is placed on the analytical properties of these functions coupled with modern numerical techniques. Three aspects are presented: (1) the...

The use of orthogonal expansions leads sometimes to results that clearly do not satisfy the causality law. The best known example is the filtering of a step function by a lowpass filter with idealized frequency cut-off. The Fourier transform yields in this case an output function starting at the...

The ability to predict how changes in the walking environment will affect the pedestrian flow is important to the designers of buildings and other constructed facilities. These changes can act on an individual pedestrian directly by diverting him from his preferred route, and indirectly through...

An architecture for the parallel implementation of an orthogonal transform of images is presented. Images are preprocessed by the “regular decomposition” procedure and converted into a quad-tree representation. The orthogonal transformation is performed progressivelly by adjusting to the...

A simulation study for the optimal control of a system described by a set of two coupled parabolic equations is presented. The control is a function of time and appears as a coefficient in the state equation. The optimality conditions lead to a two points boundary value problem which is solved...

An accurate and computationally efficent simulation of viscous flow fields exhibiting streamline curvature effects is important for the basic understanding and optimal design of a variety of mechanical systems. Examples include flow part airfoils, marine crafts, and automobiles or flow in...