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Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the development, analysis, and optimization of signal processing algorithms.
Andrey Popoff is presently is a leading researcher of EW department at Central Research Institute of Armament and Defence Technologies, Kiev, Ukraine. 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). 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.
1. Introduction to Signal Processing on L-groups. 2. Estimation of Signal Parameters in Sample Spaces with L-group. Properties. 3. Signal Filtering Algorithms in Spaces with L-group Properties. 4. Signal Detection, Classification, and Resolution in Spaces with L-group. Properties. 5. Spectral estimation and Spectral analysis on L-groups. 6. Antenna Array Signal Processing Based on L-group Operations. 7. Signal Processing L-group Algorithms for Communication Systems and Networks. 8. Wavelets on L-groups.
