Name
Title | ||
|---|---|---|
Separate/joint optimization of error feedback and coordinate transformation for roundoff noise minimization in two-dimensional state-space digital filters |
Abstract | ||
|---|---|---|
This paper is concerned with the minimization of roundoff noise subject to l2-norm dynamic-range scaling constraints in two-dimensional (2-D) state-space digital filters. Two methods are proposed, with the first one using error feedback alone and the second one using joint error feedback and coordinate transformation optimization. In the first method, several techniques for the determination of optimal full-scale, block-diagonal, diagonal, and scalar error-feedback matrices for a given 2-D state-space digital filter are proposed. In the second method, an iterative approach for minimizing the roundoff noise under l2-norm dynamic-range scaling constraints is developed by jointly optimizing a scalar error-feedback matrix and a coordinate transformation matrix, which may be regarded as an alternative approach to the conventional method for synthesizing the optimal 2-D filter structure with minimum roundoff noise. An analytical method for the joint optimization of a general error-feedback matrix and a coordinate transformation matrix under the scaling constraints is also proposed. A numerical example is presented to illustrate the utility of the proposed techniques. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1109/TSP.2003.815379 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
2-d state-space digital filter,joint optimization,two-dimensional state-space digital filter,conventional method,roundoff noise minimization,general error-feedback matrix,optimal error feedback,scalar error-feedback matrix,scaling constraints,index terms—optimal coordinate transformation,2-d state-space digital filters.,proposed technique,l2-norm dynamic-range,2-d filter structure,analytical method,error feedback,transformation matrix,minimum roundoff noise,dynamic range,iterative methods,coordinate transformation,state space,network synthesis,generalization error,noise,feedback,digital filter,indexing terms | Coordinate system,Noise reduction,Mathematical optimization,Digital filter,Iterative method,Control theory,Matrix (mathematics),Network synthesis filters,Transformation matrix,Scaling,Mathematics | Journal |
Volume | Issue | ISSN |
51 | 9 | 1053-587X |
Citations | PageRank | References |
3 | 0.69 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| T. Hinamoto | 1 | 73 | 9.09 |
| K. Higashi | 2 | 3 | 0.69 |
| Wu-Sheng Lu | 3 | 296 | 24.90 |