Paper Info
Title
Jointly optimal error feedforward, high-order error feedback and realization for roundoff noise minimization in IIR digital filters
Abstract
Joint optimization of error feedforward, high-order error feedback and state-space realization for minimizing roundoff noise at filter output subject to l2-scaling constraints for state-space digital filters is investigated. Linear algebraic techniques that convert the problems at hand into an unconstrained optimization problem are explored, and an efficient quasi-Newton algorithm is then applied to solve the unconstrained optimization problem iteratively. In this connection, closed-form formulas are derived for fast and accurate gradient evaluation. Finally, a numerical example is presented to demonstrate that the high-order error feedback does offer much improved performance and that the proposed joint optimization is superior relative to a sequentially optimized system where the state-space coordinate transformation as well as error feedforward and high-order error feedback matrices are optimized separately.
Year
DOI
Venue
2014
10.1109/ISCAS.2014.6865302
Circuits and Systems
Keywords
Field
DocType
IIR filters,Newton method,circuit noise,feedforward,gradient methods,linear algebra,optimisation,state-space methods,IIR digital filters,closed-form formulas,gradient evaluation,high-order error feedback matrices,joint optimization,linear algebraic techniques,optimal error feedforward,optimized system,quasiNewton algorithm,roundoff noise minimization,state-space coordinate transformation,state-space digital filters,state-space realization,unconstrained optimization problem
Coordinate system,Digital filter,Algebraic number,Control theory,Matrix (mathematics),Computer science,Minification,Scaling,Optimization problem,Feed forward
Conference
ISSN
Citations 
PageRank 
0271-4302
0
0.34
References 
Authors
1
3
Name
Order
Citations
PageRank
Takao Hinamoto115850.09
Akimitsu Doi21013.07
Wu-Sheng Lu332949.40