Title :
A closed form solution to L/sub 2/-sensitivity minimization of second-order state-space digital filters
Author :
Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki
Author_Institution :
Dept. of Electr. Eng., Tohoku Univ., Sendai
Abstract :
This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2nd order case of state-space digital filters, we can formulate L2-sensitivity minimization problem by hyperbolic functions. As a result, L2-sensitivity minimization problem can be converted into a problem to find the solution to a 4th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations
Keywords :
digital filters; hyperbolic equations; polynomials; sensitivity analysis; state-space methods; closed form solution; constant coefficients; hyperbolic functions; iterative calculations; polynomial equation; sensitivity minimization; state-space digital filters; Closed-form solution; Controllability; Digital filters; Equations; Minimization methods; Observability; Polynomials; Quantization; Transfer functions;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1693810
