Fourier Transform : Equivalent Width
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Suppose we define for a square-integrable function f(t) and its Fourier transform
the equivalent width as
and the equivalent Fourier width as
a) Show that
is independent of the function f, and determine the value of this const.
b) Determine the equivalent width and the equivalent Fourier width for the unnormalized Gaussian
and compare them with its full width as defined by its inflection points.
Please see the attached file for the complete solution.
Thanks for ...
Equivalent width in a Fourier Transform is investigated. The solution is detailed and well presented.