Geometric-algebra affine projection adaptive filter

• Published in: EURASIP journal on advances in signal processing Vol. 2021; no. 1; pp. 1 - 13
• Main Authors: Ren, Yuetao, Zhi, Yongfeng, Zhang, Jun
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 17.09.2021; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Adaptive filter; Adaptive filters; Affine projection; Aircraft; Algebra; Algorithms; Analysis; Calculus; Colored signal; Convergence; Cost function; Data structures; Differentiation; Engineering; Geometric algebra; Hypercomplex process; Ill posed problems; Lagrange multiplier; Optimization; Quantum Information Technology; R&D; Research & development; Sensors; Signal processing; Signal,Image and Speech Processing; Spintronics; Stability analysis; Geometric algebra; Hypercomplex process; Affine projection; Adaptive filter; Colored signal

Geometric algebra (GA) is an efficient tool to deal with hypercomplex processes due to its special data structure. In this article, we introduce the affine projection algorithm (APA) in the GA domain to provide fast convergence against hypercomplex colored signals. Following the principle of minimal...