Title :
Eigenstructure approach for complete characterization of linear-phase FIR perfect reconstruction analysis length 2M filterbanks
Author :
Makur, Anamitra ; Muthuvel, Arigovindan ; Reddy, P. Viswanadha
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
fDate :
6/1/2004 12:00:00 AM
Abstract :
The eigenstructure based characterization of M-channel finite impulse response perfect reconstruction (FIR PR) filterbanks in a previous paper by the authors is extended here to the linear-phase case. Some results relating to linear-phase filterbanks is derived by finding appropriate restrictions on the eigenstructure of the analysis polyphase matrix. Consequently, a complete and minimal characterization for such filterbanks with all analysis length 2M and any synthesis length is developed. Parameterization and design examples are also presented.
Keywords :
FIR filters; eigenstructure assignment; filtering theory; matrix algebra; signal reconstruction; M-channel linear-phase FIR perfect reconstruction filterbanks; eigenstructure approach; finite impulse response; parameterization; polyphase matrix; Discrete cosine transforms; Eigenvalues and eigenfunctions; Finite impulse response filter; Image processing; Image reconstruction; Matrix decomposition; Nonlinear filters; Polynomials; Signal processing; Signal synthesis; Eigenstructure; FIR filterbank; linear phase;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2004.827201
