At present, the discovery of deterministic chaos is one of the significant subjects of research in various fields of science. In this work, deterministic chaos considered as a sequence with specific properties, which is used to transmit information in a stegosystem. The efficiency of the algorithm for steganographic embedding and extraction of digital information into audio containers by the method of spreading the spectrum using chaotic signals is analyzed. The spread spectrum method is characterized by the presence of a large number of errors on the receiving side when used in the classical version, without the original audio, i.e. there was no possibility of blind extraction. Errors arising when transmitting an audio signal over a communication channel made it impossible to extract the embedded information correctly. It proposed to use an algorithm that increases the efficiency of information signal extraction on the receiving side. The efficiency of the method is estimated by the amount of distortion in the original audio and by the reliability of extracted information, which is characterized by the value of the error probability. It showed that to extract embedded data with high reliability from stegoaudio, one should use an adaptive filtering algorithm - thresholding using discrete wavelet transform (DWT). The best filtering method, using various orthogonal mother wavelets (Haar, Daubechies, and Symlet) at different levels of signal decomposition, was determined. In the course of this study, recommendations were made on the use of mother wavelets, and was given preference to Daubechies and Symlet wavelets. Requirements for the numerical values of the embedding parameters and the parameters of the generators of chaotic processes used to expand the spectrum formulated.

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Steganography is a technology for hiding watermarks inside media files, which is relevant in the field of copyright protection, secret communication, etc. The effectiveness of modern methods of digital image processing allows determining the presence of embedded watermarks in a stegoimage using the original image and its statistical characteristics, as well as a priori information about the method and algorithm of embedding. In contrast to the known approaches, it is proposed to use algebraic fractals for steganographic embedding of watermarks in color images. It is proposed to use algebraic fractals in the form of medium cover image acting as a secret key, which allows the embedding to be more resistant to computer attacks, including JPEG compression. The main advantage of such use of fractals is an increase in the level of secrecy in which the attacker must know the parameters of the fractal image. Without knowledge of these parameters, it will not be enough to have the original stegoimage and a priori information about the embedding method to extract secret data. This chapter analyzes the methods and provides examples of generating algebraic fractals in the form of the Julia set using the escape time algorithm.