Fundamentals of Signal Processing in Metric Spaces With Lattice Properties ― Algebraic Approach

Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material.

Andrey Popoff received a Specialist degree (an intermediate one between B.S. and M.S.) in electronic systems from Kiev Radioengineering Institute of Air Defence in 1985 (in Kiev, former USSR). He started his career as an officer of Electronic Intelligence Corps in the Central group of troops of USSR Armed Forces deployed in former Czechoslovakia (now Czech Republic).

A. Popoff received his Candidate of Science degree (Ph.D. equivalent) in electronic systems/defence technologies from Kiev Military Institute of Control and Communication in 1996. As an instructor at Kiev Military Institute of Control and Communication, and later as an assistant professor, associate professor, professor at National Academy (later renamed to National University) of Defence of Ukraine, A. Popoff worked in the fields of Electronic Warfare (EW), information theory, signal processing, radar and communication systems, and also led courses on the corresponding topics. At present, A. Popoff is a retired colonel and research professor of EW research laboratory at Central Research Institute of Armament and Defence Technologies, Kiev, Ukraine.