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Simulation Of Fir Filter Banks Using Daubechies Wavelet With Orthonormal Basis Functions

Abstract

State spaceanalysis is an excellent method for design and analysis of control system. Itcan be applied to Non-linear, Time-invariant and MIMO systems.Proposed research work has presents astate space description for the minimal delay wavelet FIR filter banks by usingspecial orthonormal basis function. This FIR structure guarantees BIBOstability, Robustness and provide Perfect reconstruction by verifying theMinimality, observability, and the minimal realization for the filter transferfunction. Also proposed work has lesser delay compared to base research work.

Keywords — State spacedescription, Wavelet, FIR filter bank, Orthonormalbasis function, Paraunitary matrices, Reachable, Observable, Minimality,Eigen value.

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