If the Fourier transform of f(x) is F(s), then F() is equal to
Answers
Answer:
Step-by-step explanation:
Answer:
Concept:
A Fourier transform (FT) is a mathematical transformation that decomposes functions that are spatially or temporally dependent into functions that are spatially or temporally dependent. Partially decomposed the waveforms of a musically chord into the strength of its component pitches is an example application. The spatial frequency description and the mathematics operation that relates the frequency content with a variable of space or time are both referred to as the Fourier transform.
Given:
the Fourier transform of f(x) is f(s) then f(x) is equals to
Find:
we have to find f(x)
Answer:
F(x) is the Fourier transform of f(s), hence f(x) is self-reciprocal.
A self-reciprocal (SR) function is a Fourier or Hankel transform that is applied to itself. Fourier optics is one of the areas where SR functions can be used. The exponential Fourier transformation on the half-line is used to produce integral representations for SR functions. When the Fourier transform of f (x) can be produced simply by substituting x with s, f(x) is said to be self-reciprocal in terms of Fourier transform. The Fourier transform of f(x) is F, as stated in the question (s). As a result, it is known as self-reciprocal, and its Fourier transform can be found by simply replacing x with s.