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

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

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 characterist...

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Veröffentlicht in:Journal of computational and applied mathematics 2015-12, Vol.290, p.290-297
Hauptverfasser: Uzinski, Julio C., Paiva, Henrique M., Duarte, Marco A.Q., Galvão, Roberto K.H., Villarreal, Francisco
Format: Artikel
Sprache:eng
Schlagworte:
Banks
Basis functions
Dynamical systems
Dynamics
FIR filter banks
FIR filters
Mathematical models
Orthonormal basis functions
Robustness
State space description
Wavelet
Wavelets
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Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2015.04.046