Simulation of signal oriented algorithm with lossy data compression

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.