Discrete cosine transformation as a means of computer processing of information

Abstract

The actuality of studying and using mathematical estimations and computer instruments of information processing based on basic functions is shown. The experimental researches of the simulation process of the discrete cosine transform (DCT)  of the speech signal fragment are presented. It is known that the representation and compression functions (processes of different nature, including audio and video information) on the system of orthogonal and non-orthogonal bases needs during the analysis of mathematical computing expansion coefficients. When selecting basic functions should consider the following: the basis of trigonometric functions requires operations of addition and multiplication to Haar basis functions, Walsh functions, PL - Schauder functions and features - only operations of addition. It is reported that the lowest number of transactions when calculating the coefficients of expansion has Schauder basis that determines the highest performance. In connection with the fact that the DCT is widely used in various systems, data compression using static images, such as JPEG standard, etc. Computer simulation schedule of speech signals. In case of reduction of redundancy is the most difficult for DCT coding coefficients. SCE may be promising for use in digital systems, streaming audio broadcast using computer networks. For software implementation discussed option of using discrete cosine transform fragments (implementations) speech signals. The calculations used by the link between DFT and DCT coefficients. If necessary, a selection factors. Our studies give reason to believe that the use of basic functions for digital signal processing - the problem is actual. Through research and comparative analysis can choose a type of treatment that will give the most desirable for one of the following criteria: best quality, maximum compression (compression) at a given quality, etc.