Parameter Estimation for an Adaptive Instrumentation of Hall´s Optimum Receiver for Digital Signals in Impulse Noise

Newton´s method for root finding is shown to be an effective algorithm for computing maximum likelihood estimates of the bias parameter in Hall´s optimum receiver for digital singals in impulse noise. Use of a bias estimator allows the receiver to be adaptively instrumented. A simulation indicates that the number of independent samples of the impulse noise, as modeled by Hall, should be around 20 000 for satisfactory parameter estimates.