Digital transmission theory
Adaptive filter theory (2nd ed.)
Adaptive filter theory (2nd ed.)
Adaptive polynomial filtering algorithms
Adaptive polynomial filtering algorithms
Adaptive lattice bilinear filters
IEEE Transactions on Signal Processing
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This paper considers recursive least squares (RLS) adaptive nonlinear filtering using bilinear system models. It proves that the extended RLS adaptive bilinear filter as well as the equation-error RLS adaptive bilinear filter are 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. This paper also contains the 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.