Complex and Hypercomplex Analytic Signals: Theory and Applications

Stefan L. Hahn is a professor emeritus at the Institute of Radioelectronics and Multimedia Technology. He received his Ph.D. and D.Sc. in radioengineering from the Warsaw University of Technology in Warsaw, PolandKajetana M. Snopek is an associate professor at the Institute of Radioelectronics and Multimedia Technology and is thehead of the Radiocommunication Signals and Systems division. She received her Ph.D. and D.Sc. in electronics and herM.Sc. in applied mathematics from the Warsaw University of Technology in Warsaw, Poland.

• Survey of Chosen Hypercomplex Algebras; Orthants of the N-Dimensional Cartesian Space and Single-Orthant Operators; Fourier Transformation in Analysis of N-Dimensional Signals; Complex and Hypercomplex Analytic Signals; The Ranking of Analytic Signals; Polar Representation of Analytic Signals; Quasi-Analytic Signals; Space-Frequency Representations of N-D Complex and Hypercomplex Analytic Signals; Causality of Signals; Summary.