Number theoretic methods in parameter estimation

Problems in harmonic analysis and synthesis are intertwined with their applications in signal and image processing. Developments in the theory on the zeta functions, algorithms on generalizations of Euclidean domains, and variations on equidistribution theory have led to algorithms for several classes of problems in parameter estimation that are general and very efficient. We present the theoretical justifications for these algorithms, and discuss their use in the analysis of periodic pulse trains.