Design of IIR All-Pass Filters Using a Neural-Based Learning Algorithm

Autor:	Shu-Sheng Hao, Yue-Dar Jou, Li-Woei Chen, Jian-Kai Huang
Rok vydání:	2015
Předmět:	Quantitative Biology::Neurons and Cognition Applied Mathematics Matrix (mathematics) Filter design Minor component analysis Filter (video) Simple (abstract algebra) Control theory Signal Processing Convergence (routing) Infinite impulse response Algorithm Eigenvalues and eigenvectors Mathematics
Zdroj:	Circuits, Systems, and Signal Processing. 34:3031-3056
ISSN:	1531-5878 0278-081X
Popis:	Least-squares design of infinite impulse response all-pass filter can be formulated as an eigenvector solving problem based on the Rayleigh principle. The eigenfilter is designed by solving a single eigenvector corresponding to the smallest eigenvalue of a real, symmetric, and positive-definite matrix. This paper proposes a minor component analysis-based neural learning algorithm for designing eigenfilter. By appropriately mapping the associated all-pass filter specifications to the simple neural model enables the filter coefficients to be derived from the neural weights. The neural weights eventually approach the optimal filter coefficients of the eigenfilter when the neural model achieves convergence. The proposed neural learning algorithm is demonstrated from simulation results to converge rapidly and achieve accurate performance of eigenfilter design.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::21167021ead5d183067cb2f21ef22449 https://doi.org/10.1007/s00034-015-9999-2 Zobrazit plný text záznamu Full text from SpringerLink