I really with this fourier transform please

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Homework Help Overview

The discussion revolves around a problem involving the Fourier transform of an exponentially decaying sinusoid defined for non-negative time. The original poster expresses difficulty in starting the problem, which is part of a physics assignment.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the original poster's lack of familiarity with Fourier transforms and university-level mathematics. There are suggestions to refer to the convolution formula and external resources for better understanding.

Discussion Status

The discussion is ongoing, with participants providing hints and resources. The original poster has expressed confusion and a need for foundational knowledge, indicating that the conversation is focused on building understanding rather than solving the problem directly.

Contextual Notes

The original poster mentions a lack of recent mathematics education and limited exposure to Fourier transforms, which may impact their ability to engage with the problem effectively.

skullofchaos
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Homework Statement



an exponentially decaying sinusoid is defined as

f (t) = a exp (-t/towel) exp (i2(pie)vt) ; t greater than or equal to 0
0 ; t less than zero


Homework Equations



i have to show that its Fourier transform is

F(v) = a/(2(pie)j(v-v0) + (1/towel))

The Attempt at a Solution



i don't know where to start, thnx to all who help
 
Last edited:
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Welcome to PF!

Hi skullofchaos! Welcome to PF! :smile:

(it's spelt tau, not towel! :biggrin: oh, and have one: τ and a pi: π and a ≥ :wink:)

Hint: use the convolution formula.
 
i am in 2nd year uni and i have not done any university maths so i am not sure what to do, this question is on my physics assignment
 
thnx for the reply, but sorry, none of it makes sense to me, um, what do i have to start with and my maths is a bit rusty (i have not done maths since year 12)
 
skullofchaos said:
thnx for the reply, but sorry, none of it makes sense to me, um, what do i have to start with and my maths is a bit rusty (i have not done maths since year 12)

well, how much do you know?

the question says "show that its Fourier transform is …"

do you know what a Fourier transform is?
 
we did not do much on Fourier transforms and the lecture notes and textbook don't really help at all. i know how to integrate and differentiate - basic differential calculus
 
skullofchaos said:
we did not do much on Fourier transforms and the lecture notes and textbook don't really help at all. i know how to integrate and differentiate - basic differential calculus

well, you'll need to do extensive reading on Fourier transforms then …

it's a whole subject in itself, and not the sort of thing we can give a quick introduction to :redface:

try wikipedia first, and then your textbook (which book is it?) … if that isn't enough, you'll need to find a better textbook :smile:
 

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