Roundoff noise (RN) is known to exist in digital filters and systems under finite-precision operations and can become a critical factor for severe performance degradation in IIR filters and systems. Two classes of methods are available for RN reduction or minimization - one uses state-space coordinate transformation, the other uses error feedback of state variables. In this paper, we propose a method for the joint optimization of error feedback and state-space realization. It is shown that the problem at hand can be solved in an unconstrained optimization setting. With a closed-form formula for gradient evaluation and an efficient quasi-Newton solver, the unconstrained minimization problem can be solved efficiently.
Jointly optimized error-feedback and realization for roundoff noise minimization in state-space digital filters
2003-01-01
367566 byte
Conference paper
Electronic Resource
English
British Library Conference Proceedings | 2003
|Finite State Machine Realization of IIR Digital Filters
Springer Verlag | 2021
|Roundoff criteria in direct stiffness solutions.
AIAA | 1968
|TOPOLOGY-OPTIMIZED DUCTWORK FOR NOISE MINIMIZATION IN MICRO-CHILLING SYSTEMS
European Patent Office | 2023
|