A polynomial approach to optimal and adaptive filtering with application to speech

Explicit polynomial solutions to the Wiener filtering problem are given. They rely on the identification of innovations models for the disturbance and for the noisy signal. The Wiener filter is found from the solution of a diophantine equation. Results illustrating the attenuation of background interference in a speech signal are presented. The explicit approach presented does not rely on minimizing a prediction error over a performance surface and can be applied where two input techniques are impracticable or impossible