Title :
An DFII based structure for 2-D separable-denominator digital filters with very low L2-sensitivity measure
Author :
Zhao, Z.X. ; Li, G. ; Fang, T.
Author_Institution :
Sch. of EEE, Nanyang Technol. Univ., Singapore, Singapore
Abstract :
In this paper, a new 2D digital filter structure is derived based on a more generalized polynomial operator. This new structure is a mixture of direct-form II (DFII) and direct-form II transposed (DFTIIt) structures. The coefficient sensitivity is analyzed using a pure L2-norm subject to L2-scaling constraints for the new structure and its equivalent state-space realization, both of which are every sparse and can be optimized with the degrees of freedom. An numerical example is given to illustrate that the optimized proposed structures can have a very low sensitivity measure.
Keywords :
digital filters; optimisation; polynomials; sensitivity analysis; state-space methods; 2D separable-denominator digital filter; L2-norm subject; L2-scaling constraint; L2-sensitivity measure; coefficient sensitivity; direct-form II transposed structure; generalized polynomial operator; state-space realization; Constraint optimization; Degradation; Digital filters; Length measurement; Polynomials; Sparse matrices; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328789
