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

Julio C. Uzinski ^[2] ; Henrique M. Paiva ^[3] ; Marco A.Q. Duarte ^[4] ; Roberto K.H. Galvão ^[1] ; Francisco Villarreal ^[2]
1. [1] Instituto Tecnológico de Aeronáutica
  
  Instituto Tecnológico de Aeronáutica
  
  Brasil
2. [2] Universidade Estadual Paulista - UNESP, Brazil
3. [3] Mectron - Organização Odebrecht, Brazil
4. [4] Universidade Estadual de Mato Grosso do Sul, Brazil
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Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 290-297
Idioma: inglés
DOI: 10.1016/j.cam.2015.04.046
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Resumen
- 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.