Name
Abstract | ||
|---|---|---|
Recursive least squares (RLS) adaptive nonlinear filtering using bilinear system models is considered. It is proved that the extended RLS adaptive bilinear filter and the equation-error RLS adaptive bilinear filter are both guaranteed to be stable in the sense that the time average of the squared estimation error is bounded whenever the underlying process that generates the input signals is stable in the same sense. Results of several simulation experiments that compare the usefulness of adaptive bilinear system models with that of truncated second-order Volterra system models in a communication system problem are presented. The adaptive bilinear filter is shown to exhibit good parsimony in the use of coefficients compared with the truncated adaptive Volterra filter. The modeling efficiency and the guaranteed stability of the extended RLS adaptive bilinear filters should make them very attractive choices in nonlinear filtering applications.<> |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1109/ICASSP.1993.319526 | ICASSP |
Keywords | Field | DocType |
underlying process,time average,communication system problem,simulation experiment,filtering and prediction theory,piecewise-linear techniques,modeling efficiency,adaptive bilinear system model,adaptive nonlinear,least squares approximations,adaptive filters,estimation error,adaptive nonlinear filtering,simulation,truncated second-order volterra system,adaptive bilinear system models,input signal,communication system,extended rls adaptive bilinear,truncated second-order volterra system models,extended rls adaptive bilinear filters,stability,bilinear system model,nonlinear filter,adaptive systems,second order,filtering,system modeling,nonlinear systems,signal processing,signal generators,nonlinear equations | Signal processing,Mathematical optimization,Nonlinear system,Computer science,Control theory,Adaptive system,Filter (signal processing),Adaptive filter,Kernel adaptive filter,Recursive least squares filter,Bilinear interpolation | Conference |
Volume | ISSN | Citations |
3 | 1520-6149 | 3 |
PageRank | References | Authors |
0.66 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Junghsi Lee | 1 | 114 | 13.23 |
| V. John Mathews | 2 | 38 | 11.28 |