Multidimensional causal, stable, perfect reconstruction filter banks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 49, Issue 6, 2002, Pages 832-842

  Basu, Sankar ^a,b  

^a IEEE   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Coprime factorization; Filter banks; Matrix completion; Multidimensional filters; Quillen Suslin; Wavelets

Indexed keywords

ANALYSIS FILTERS; MULTIDIMENSIONAL SUBBAND CODING FILTER BANKS; PARAMETERIZATION; SYNTHESIS FILTERS;

ELECTRIC NETWORK ANALYSIS; ELECTRIC NETWORK SYNTHESIS; MATRIX ALGEBRA; POLYNOMIALS; SIGNAL ENCODING; STATE SPACE METHODS; WAVELET TRANSFORMS;

IIR FILTERS;

EID: 0036600851     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.1010038     Document Type: Article

References (29)

1. Wavelets and perfect reconstruction subband coding with causal stable IIR filters
2. A new class of two channel biorthogonal filter banks and wavelets
3. IIR analysis and synthesis systems
4. IIR filter bank for subband coding of images
5. The quillen-suslin theorem and the structure of n-dimensional polynomial matrices
6. Notes on n-dimensional system theory
7. Continuity of nonseparable quincunx wavelets
8. Wavelet families of increasing order in arbitrary dimensions
9. Nonseparable multidimensional perfect reconstruction banks and wavelets for R
10. Multidimensional filter bank design using Groebner bases
11. Some conjectures on multivariable polynomial matrices
12. Groebner bases and multidimensional FIR lultirate systems
13. On the structure of linear phase perfect reconstruction quincunx filter banks
14. Multidimensional filter banks and wavelets: A system theoretic perspective
15. Hermite reduction method for the generation of complete class of linear phase perfect reconstruction filter banks-Part I: Theory
16. Box splines, cardinal series and wavelets
17. Two-dimensional linear systems
18. Design of 2-D perfect reconstruction filter banks using transformations of variables: IIR case
19. Design of nonseparable 3-D filter banks/wavelet bases using transformations of variables
20. Feedback stabilization of multivariable 2D linear systems
21. Topics in multidimensional linear system theory
22. New results on stable multivariable polynomials-Part II: Discrete case