Abstract
This paper proposes a closed form solution to L2-sensitivitym inimizationo f second-orders tate-spaced digital filters. Restricting ourselves to the second-order case of state-space digital filters, we can expresst he L2-sensitivity by a simple linear combination of exponential functions and formulate the L2-sensitivit my inimization problem by a simple polynomiale quation. As a result, the L2-sensitivit my inimization problem can be converted into a problem to find the solution to a fourth-degree polynomiale quation of constantc oefficients which can be algebraically solved in closed form without iterative calculations.
Original language | English |
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Pages (from-to) | 1268-1273 |
Number of pages | 6 |
Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
Volume | E91-A |
Issue number | 5 |
DOIs | |
Publication status | Published - 2008 |
Externally published | Yes |
Keywords
- Closed form solution
- State-space digital filters
ASJC Scopus subject areas
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics