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2 Journal of Theoretical and Applied Computer Science

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Simulation of signal oriented algorithm with lossy data compression

Gubareni N., Katkow A.

Journal of Theoretical and Applied Computer Science

2015

Vol. 9, nr 2

51--65

In this paper the additive algorithm of spectral analysis is considered. This algorithm consists of algebraic summation of samples of basis functions taken at certain points of an interval of an independent variable of a given function. Two variants of simulation of the additive algorithm are considered. In the first variant the process of receiving discrete values of continuous spectrum of a continuous function is considered. The second variant uses the additive algorithm for Discrete Cosine Transform (DCT), which is widely used in practice for converting graphic images. The conception of the accelerated calculation of the DCT is considered on examples of real two dimensional graphic images. The fragments of proposed programs for simulation of the additive algorithm for continuous signals and for image processing are represented in meta language.

Signal-oriented processing in a speed independent environment

Katkow A.

Journal of Theoretical and Applied Computer Science

2013

Vol. 7, nr 2

59--71

This article is devoted to the research of a simulation system that uses signal-oriented integrators. The simulation environment is based on SIC (Speed Independent Circuits). The article first examines the implementation of arithmetical operations, which have been inspired by the natural world, in environments lacking global synchronization of computational processes. The article then describes the process used to calculate the Riemann integral using the signal oriented integrator and develops integration algorithms (rectangles and trapezoids) for use in such environments. It includes pseudo-code that implements these algorithms. A method is then discussed for fixing the duration of transients in combinational logic circuits and for a signal-oriented implementation of the integration process. It also considers the mapping of the signal oriented integration process as a fuzzy integration process. Finally, the article presents the results of a computer simulation of a system with signal-oriented integrators for solving differential equations of partial derivatives.