A harmonic analysis of exponential decay

David Lawunmi; Soodamani Ramalingam

doi:10.31219/osf.io/m37xu

A harmonic analysis of exponential decay

David Lawunmi
, Soodamani Ramalingam

Research output: Contribution to journal › Article

Abstract

We analyse the decay of a single exponential function and develop an algorithm to determine the exponent and the constant, C, (C exp(-kt)) associated with this function . In essence this approach involves `transforming' exponential functions into harmonic functions. This manoeuvre allows techniques that are used to analyse harmonic functions to be used to characterise decaying exponential functions.

Original language	English
Journal	IEEE TechRxiv
DOIs	https://doi.org/10.31219/osf.io/m37xu
Publication status	Submitted - 4 Jan 2020

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title = "A harmonic analysis of exponential decay",

abstract = "We analyse the decay of a single exponential function and develop an algorithm to determine the exponent and the constant, C, (C exp(-kt)) associated with this function . In essence this approach involves `transforming' exponential functions into harmonic functions. This manoeuvre allows techniques that are used to analyse harmonic functions to be used to characterise decaying exponential functions.",

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AB - We analyse the decay of a single exponential function and develop an algorithm to determine the exponent and the constant, C, (C exp(-kt)) associated with this function . In essence this approach involves `transforming' exponential functions into harmonic functions. This manoeuvre allows techniques that are used to analyse harmonic functions to be used to characterise decaying exponential functions.

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A harmonic analysis of exponential decay

Abstract

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