Title :
Design of Hypercomplex Alipass-Based Paraunitary Filter Banks applying Reduced Biquaternions
Author :
Alfsmann, Daniel ; Göckler, Heinz G.
Author_Institution :
Digital Signal Process. Group, Bochum Univ.
Abstract :
A novel approach to the design of digital IIR four-channel hypercomplex filter banks is presented, which consists of a first-order allpass sections´ cascade described with reduced biquaternions. Its multiplication rate is a factor of two lower than that of a corresponding quaternionic design. The two-step LMS design procedure is described in sufficient detail, and an illustrative design example is given
Keywords :
IIR filters; algebra; channel bank filters; least mean squares methods; digital IIR four-channel hypercomplex filter banks; hypercomplex allpass-based paraunitary filter banks; orthogonal representation; reduced biquaternions; Algebra; Channel bank filters; Color; Digital signal processing; Digital systems; Filter bank; IIR filters; Image processing; Least squares approximation; Quaternions; Filter banks; hypercomplex; orthogonal representation; reduced biquaternions;
Conference_Titel :
Computer as a Tool, 2005. EUROCON 2005.The International Conference on
Conference_Location :
Belgrade
Print_ISBN :
1-4244-0049-X
DOI :
10.1109/EURCON.2005.1629866
