Name
Title | ||
|---|---|---|
Jointly optimized error-feedback and realization for roundoff noise minimization in state-space digital filters |
Abstract | ||
|---|---|---|
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 infinite impulse response (IIR) filters and systems. In the literature, two classes of methods are available for RN reduction or minimization-one uses state-space coordinate transformation, the other uses error feedback/feed-forward of state variables. In this paper, we propose a method for the joint optimization of error feedback/feed-forward 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. With the infinite-precision solution as a reference point, we then move on to derive a semidefinite programming (SDP) relaxation method for an approximate solution of optimal error-feedback matrix with sum-of-power-of-two entries under a given state-space realization. Simulations are presented to illustrate the proposed algorithms and demonstrate the performance of optimized systems. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/TSP.2005.847847 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
infinite impulse response filter,approximate solution,error feedback,infinite-precision solution,roundoff noise minimization,unconstrained optimization,error-feedback matrix,state-space methods,feedforward,unconstrained optimization setting,jointly optimized error-feedback,mathematical programming,semidefinite programming relaxation method,matrix algebra,state-space realization,feedforward state variable,unconstrained opti- mization. edics: 2-quan quantization effects and roundoff analysis,unconstrained minimization problem,state-space transformation,joint optimization,feedback,severe performance degradation,quasinewton solver,roundoff noise in digital filters,iir filters,minimisation,state-space digital filter,relaxation method,optimized error-feedback,rn reduction,state space,digital filter,iir filter,newton method,coordinate transformation | Coordinate system,Digital filter,Control theory,Infinite impulse response,Minification,Minimisation (psychology),State variable,Solver,Mathematics,Newton's method | Journal |
Volume | Issue | ISSN |
53 | 6 | 1053-587X |
Citations | PageRank | References |
8 | 1.11 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wu-Sheng Lu | 1 | 296 | 24.90 |
| T. Hinamoto | 2 | 73 | 9.09 |