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On Periodic Pulse Interval Analysis with Outliers and Missing Observations
Analysis of periodic pulse trains based on time of arrival is considered, with perhaps very many missing observations and contaminated data. A period estimator is developed based on a modified Euclidean algorithm. This ...
Number Theoretic Methods in Parameter Estimation
Number theory has proven to be an effective tool in harmonic analysis, used to extend existing theories (e.g., sampling theory, fast transform computations) and develop new approaches to problems (e.g., interpolation). ...
Modifications of the Euclidean Algorithm for Isolating Periodicities from a Sparse Set of Noisy Measurements
Modifications of the Euclidean algorithm are presented for determining the period from a sparse set of noisy measurements. The elements of the set are the noisy occurrence times of a periodic event with (perhaps very many) ...
Modulation and Sampling Techniques for Multichannel Deconvolution
The problem recovering information from single component linear translation invariant systems is inherently ill-posedness may be circumvented in a multichannel system if the components of the system satisfy the strongly ...