- #1

- 94

- 2

## Homework Statement

a(x)=f

_{-Nd}(x) + f

_{-(N-1)d}(x) +...+ f

_{(N-1)d}(x) + f

_{Nd}

## Homework Equations

f

_{d}(x) = (1/a for |x-d| < a and 0 otherwise)

Fourier transform of function g(x) is g~(p) = 1/root(2pi) ∫ dx e

^{-ipx}g(x)

## The Attempt at a Solution

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I have found the general Fourier transform for the function f

_{d}(x) and got:

f~(p) = root(2/pi) e

^{-ipd}sin(pa)/pa

I then tried to use the linearity of Fourier transform and added the solutions for f(x) but subbed in the various N, N-1 etc but got muddled up and a little confused.

Is this the right thing to be doing? Is this going to come out as a nice clean answer?

Thanks in advance.