A state-space description for perfect-reconstruction wavelet FIR filter banks with special orthonormal basis functions

• Published in: Journal of computational and applied mathematics Vol. 290; pp. 290 - 297
• Main Authors: Uzinski, Julio C., Paiva, Henrique M., Duarte, Marco A.Q., Galvão, Roberto K.H., Villarreal, Francisco
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-12-2015
• Subjects: Banks; Basis functions; Dynamical systems; Dynamics; FIR filter banks; FIR filters; Mathematical models; Orthonormal basis functions; Robustness; State space description; Wavelet; Wavelets; Wavelets; State space description; Orthonormal basis functions; FIR filter banks
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2015.04.046

This paper presents a state space description for wavelet FIR filter banks with perfect reconstruction using special orthonormal basis functions. The FIR structure guarantees the BIBO stability, robustness and improves the filter divergence problem while orthonormal basis functions have characteristics that make them attractive in the modeling of dynamic systems. The state space description presented in this paper has all of those advantages and is minimal.