A closed form solution to L2-sensitivity minimization of second-order state-space digital filters

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2006, Pages 5223-5226

  Yamaki, Shunsuke ^a   Abe, Masahide ^a   Kawamata, Masayuki ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; ITERATIVE METHODS; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; SENSITIVITY ANALYSIS; STATE SPACE METHODS; DIGITAL FILTERS; HYPERBOLIC FUNCTIONS;

CLOSED FORM SOLUTIONS; HYPERBOLIC FUNCTIONS; ITERATIVE CALCULATIONS;

DIGITAL FILTERS; POLYNOMIALS;

CLOSED FORM; CLOSED FORM SOLUTIONS; CONSTANT COEFFICIENTS; ITERATIVE CALCULATION; POLYNOMIAL EQUATION; SECOND ORDERS; SENSITIVITY MINIMIZATION; STATE SPACE DIGITAL FILTERS;

EID: 34547336535     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. M. Kawamata and T. Higuchi, "A. unified approach to the optimal synthesis of fixed-point state-space digital filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, no. 4, pp. 911-920, Aug. 1985.
2. M. Iwatsuki, M. Kawamata, and T. Higuchi, "Statistical sensitivity and minimum sensitivity structures with fewer coefficients in discrete time linear systems," IEEE Trans. Circuits Syst., vol. 37, no. 1, pp. 72-80, Jan. 1989.
3. 2-sensitivity minimization of linear state-space systms," IEEE Trans. Circuits Syst. I Fundamental theory and applications, vol. 39, no. 8, pp. 641-648, Aug. 1992.
4. 2 sensitivity evaluation in state-space digital filters and its minimization," in Proc. ISCAS'99, vol. 3, Orland, Florida, 1999, pp. 331-334.
5. S. Y. Hwang, "Minimum uncorrelated unit noise in state-space digital filtering," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, no. 4, pp. 273-281, Aug. 1977.
6. C. T. Mullis and R. A. Roberts, "Synthesis of minimum roundoff noise fixed point digital filters," IEEE Trans. Circuits Syst., vol. CAS-23, no. 9, pp. 551-562, Sept. 1976.
7. M. Gevers and G. Li, Parametrizations in Control, Estimation and Filtering Problems. Springer-Verlag, 1993, ch. 5.