This project is devoted to development of systems for digital signal processing which satisfy the requirements arising from new trends in information security in modern computer and communications systems. Special care will be given to the development and implementation of four classes of security systems: system for extraction of cryptographic keys from biometric signals of the iris, speech, finger prints and images of faces (KEB – Key Extraction from Biometrics), system for extraction of cryptographic keys on the basis of mutual randomness originated from the physical layer of wired and wireless communication networks (KECR – Key Extraction from Common Randomness), systems for the control of the distribution of digital content and hidden transmission of information (DDCH – Digital Distribution Control and Hiding) and system for intrusion detection in computer networks based on biologically inspired algorithms for detection of anomalies in behaviour (BIIDS – Biologically Inspired Intrusion Detection Systems). Common methodological framework for development of these systems are application of advanced signal processing methods, cryptology, steganography and biometrics, leading to a significant increase in quality and reliability of basic security services, such as secrecy, non – repudiation, authentication and integrity.
Description of research
Project consists of the development of new methods and algorithms, derivation of theoretical results, experimental verification, and development of systems for more efficient usage of computer and communication systems, with the focus on performance and to consume less energy. The topic belongs to Green technologies, and the focus is on consuming less energy or to reduce contamination and waste materials of computer and communication systems. Research is on efficient algorithms for signal and data processing, mathematical modeling, efficient spectral usage, optimization of computer systems, and usage of reconfigurable systems. The results will be used in communication systems, wireless communication, image and speech processing, and business decisions. Commercial software solutions will be produced, new or as upgrade of existing, or as part of equipments and systems produced by our participants.
The main problem in today mathematical modeling is related to the nonlinearity of the considered problems mostly under uncertainty, and usualy looking for optimal solution. Mathematical mashinery initiated by many different applications, which cover all three mentioned aspects is pseudo-analysis, which requires an introduction of new real operations. Besides several properties and construction methods, also several kinds of aggregation functions will be introduced and examined. It will be investigated and developed further the notion of universal integral and many of important cases of it. There will be proved inequalities for nonlinear integrals (Jensen, Chebyshev, Hölder, Minkowski, Stolarsky). There will be introduced new types of integrals with respect to the absolutely monotone set functions. Further applications of of the pseudo-superposition principle for some new nonlinear PDEs will be managed. Based on countable extensions of the triangular norms fixed point theorems in probabilistic metric and fuzzy metric spaces will be proved.There will be managed new models, based on pseudo-analysis, in social sciences, transportations and imprecise spatial objects modelling. Using semirings of bistochastic matrices there will be investigated the mobility index and related orderings, and the extension of the whole theory to continuous state Markov processes. Comparative analysis of existing causality measures applied to problems of brain connectivity will be performed.