Complex and Hypercomplex Analytic Signals
Theory and Applications

Based on the bestselling Artech House classic title, Hilbert Transforms Signal Processing, this comprehensive new resource introduces complex and hypercomplex analytic signals and their applications. Professionals find in-depth explanations of the theory of multidimensional complex and hypercomplex signals illustrated with numerous examples and followed by practical applications. The survey of chosen hypercomplex algebras and the orthants of the n-dimensional Cartesian space and single-orthant operators are explored.

This book also covers topics including, the polar representation of analytic signals, quasi-analytic signals, the space-frequency of n-D complex and hypercomplex signals as well as the causality of signals.

- 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.

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, Poland.

Kajetana M. Snopek is an associate professor at the Institute of Radioelectronics and Multimedia Technology and is the head of the Radiocommunication Signals and Systems division. She received her Ph.D. and D.Sc. in electronics and her M.Sc. in applied mathematics from the Warsaw University of Technology in Warsaw, Poland.