Orthonormal Functions for Nonlinear Signal Processing
نویسندگان
چکیده
Nonlinear adaptive ltering has witnessed an explosion of interest in recent years. This progress report describes the achievements to date of the EPSRC funded research program to investigate orthonormal functions for nonlinear signal processing. The report introduces a structure based upon the multi{dimensional Fourier series which can be applied to nonlinear system identi-cation, channel equalisation and time series prediction problems. The orthonormal properties of the basis functions means that their individual contribution to the estimation to be computed directly, and hence avoids the need for computationally complex matrix algebra in forming other parsimonious models. The report introduces the orthonormal ltering structure and highlights the speciic achievements thus far. A nonlinear system identiication example is included to demonstrate the operation of the ltering structure.
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