Title :
Hypercomplex algebras in digital signal processing: Benefits and drawbacks
Author :
Alfsmann, Daniel ; Gockler, Heinz G. ; Sangwine, Stephen J. ; Ell, Todd A.
Author_Institution :
Digital Signal Process. Group, Ruhr-Univ. Bochum, Bochum, Germany
Abstract :
This tutorial contribution presents a short historical introduction and a survey of hypercomplex algebras in conjunction with some beneficial applications in predominantly time-based digital signal processing. Potential advantages and shortcomings of hypercomplex digital signal processing are discussed.
Keywords :
algebra; signal processing; beneficial applications; hypercomplex algebras; short historical introduction; time-based digital signal processing; tutorial contribution; Algebra; Convolution; Digital signal processing; Image processing; Quaternions; Transforms;
Conference_Titel :
Signal Processing Conference, 2007 15th European
Conference_Location :
Poznan
Print_ISBN :
978-839-2134-04-6