Solving the De Prony's Problem of Separation of the Overlapping Exponents in DLTS

TL;DR

This paper introduces a method to solve De Prony's problem of separating overlapping exponents in signals, using binomial coefficients as weights, with a focus on algebraic structure and applicability.

Contribution

It presents a novel approach employing binomial coefficients to address the separation of overlapping exponents in De Prony's problem.

Findings

Method effectively separates overlapping exponents

Algebraic structure of signal classes analyzed

Applicability demonstrated on relevant signals

Abstract

This paper presents the solution to the De Prony's problem of separation of the overlapping exponents using the binomial coefficient as the weighting factors. The algebraic structure of the signal classes is discussed and the applicability of method is demonstrated.