Representation and Analysis of Signals. Part XXVI. Least-Squares Approximation of Functions by Exponentials

Abstract

The approximation of an analytic time function in the least squares sense by sums of exponentials is considered from several different points of view. In particular, the author considers the determination of the 2n complex parameters (alpha sub K, S sub K) of the function f sub a(t) = the summation from K=1 to n of (alpha (sub K) exp (s(sub K)t) so that for a given n and f(t), the value of the functional the integral from 0 to infinity of (f(t)-f sub a (t) ) squared dt is minimized.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0735489

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  • Gerry Miller

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  • Johns Hopkins University

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