Name
Title | ||
|---|---|---|
Jointly Optimal High-Order Error Feedback and Realization for Roundoff Noise Minimization in 1-D and 2-D State-Space Digital Filters |
Abstract | ||
|---|---|---|
Joint optimization of high-order error feedback and state-space realization for minimizing roundoff noise at filter output subject to $l_{2}$-scaling constraints is investigated for one- and two-dimensional state-space digital filters. 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, case studies are 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 and high-order error feedback matrices are optimized separately. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TSP.2013.2281300 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
digital filters,linear algebra,optimisation,roundoff errors,state-space methods,1D state space digital filters,2D state space digital filters,closed form formulas,filter output,jointly optimal high order error feedback,linear algebraic techniques,quasiNewton algorithm,roundoff noise minimization,state space coordinate transformation,state space realization,unconstrained optimization problem,1-D state-space digital filter,2-D state-space digital filter,$l_{2}$-scaling constraints,Roesser's model,high-order error feedback,joint optimization,no overflow oscillation,quantization error,quasi-Newton method,realization,roundoff noise | Coordinate system,Linear algebra,Mathematical optimization,Digital filter,Error feedback,Algebraic number,Matrix (mathematics),Control theory,Minification,Optimization problem,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 23 | 1053-587X |
Citations | PageRank | References |
12 | 0.98 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hinamoto, T. | 1 | 14 | 2.33 |
| Akimitsu Doi | 2 | 12 | 0.98 |
| Wu-Sheng Lu | 3 | 296 | 24.90 |