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.