Parametrized family of 2-D non-factorable FIR lossless systems and Gröbner bases

Multidimensional Systems and Signal Processing

Volumn 12, Issue 3-4, 2001, Pages 345-364

  Park, Hyungju ^a  

^a OAKLAND UNIVERSITY   (United States)

Author keywords

Gr bner bases; Losses; Non factorable; Parametrization; Paraunitary

Indexed keywords

DIGITAL ARITHMETIC; MATHEMATICAL MODELS; MATRIX ALGEBRA; ONE DIMENSIONAL; OPTIMIZATION; PARAMETER ESTIMATION; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; SIGNAL FILTERING AND PREDICTION; THEOREM PROVING; TRANSFER FUNCTIONS; TWO DIMENSIONAL;

FLOATING POINT APPROXIMATIONS; GIVENS ROTATIONS; GROBNER BASES THEORY; LAURENT POLYNOMIAL MATRIX; MCMILLAN DEGREES; PARAHERMITIAN CONJUGATE; PARAMETRIZED FAMILY; PARAUNITARY MATRIX; TRANSFER MATRIX; TWO DIMENSIONAL LOSSLESS SYSTEMS;

SIGNAL THEORY;

EID: 0035385773     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011961708408     Document Type: Article

References (9)

1. State space representations of 2-D FIR lossless transfer matrices
2. On non-separable multidimensional perfect reconstruction filter banks
3. Nonseparable two-and three-dimensional wavelets
4. Singular reference manual
5. On factorization of a subclass of 2-D digital FIR lossless matrices for 2-D QMF bank applications
6. Groebner bases techniques in multidimensional multirate systems
7. The role of lossless systems in modern digital signal processing. A tutorial