DefinePK

Abstract

Building effective systems for information exchange, compression and storage of information requires the use of reliable codes with certain properties that can be easily implemented in information systems. The paper considers a mathematical model based on a class of continuous functions with fractal properties defined by a three-character representation (coding). This mathematical model is used for encoding of digital data source. For the mathematical apparatus, the theorem that prove the uniqueness of the functional equation solution under initial conditions is offered, which in turn allows to construct an algorithm for encoding and decoding information. There are also examples of applications of this apparatus, which in particular have the property of decoding uniformity. The proposed model allows to develop a new fractal coding technology for efficient transmission and processing of data over communication channels in geographic information systems.