Delta-operator based signal processing: fast algorithms for rapidly sampled data

High sampling densities often lead to numerical ill-conditioning in statistical signal processing algorithms. Reformulation of signal or system dynamics via a delta, or divided-difference, dynamical operator can provide a framework within which the amelioration of such ill-conditioning can be treated on a formal and unified basis. A number of basic signal-processing problems have been studied in his context over the past decade, and these are reviewed here.