How to solve the Fast Fourier transform?
Let’s learn how to solve the Fast Fourier transform. The most accurate or helpful solution is served by Mathematics.
There are ten answers to this question.
Best solution
I am studying algorithms about FFT and I was practicing FFT question question is asking What is the FFT of (1, 0, 0, 0)? What is the appropriate value of ω in this case? And of which sequence is (1, 0, 0, 0) the FFT? I was reading the book for this part but i didn't really understand... Can anyone explain the way to solve this problem ?
Answer:
This is easy. The DFT formula is $$X_k = \sum_{n=0}^{N-1} x_n \omega^{-nk}$$ (forward transform) $$x...
NBB at Mathematics Mark as irrelevant Undo
Other solutions
Q) Use the Residue theorem and contour integration to show that the inverse Fourier transform of the function F(w) = (1/Sqrt[2*pi]) * (1+jw) / (1+w^2) is given by the function f(x)= e^x for x<0; 1/2 for x=0; 0 for otherwise ---------------------...
Answer:
i've been trying to answer same question so if you sort it out pliz give me a shout.
neonstarfish at Yahoo! Answers Mark as irrelevant Undo
Fourier Series expresses a continuous periodic function in terms of sum of infinite sines and cosines. Continuous Time Fourier Transform is Fourier Series expansion of aperiodic signals(or signals with infinite period). Discrete Time Fourier Transform...
Answer:
See Discrete Fourier transform. Look at the diagrams on the top right of the article. You will get...
Robert J. Kolker at Quora Mark as irrelevant Undo
In some explanations of Fourier Transform, you can tell that if you use Fourier Transform on a cyclic functions, the value of the function is 2Ï€*(delta-function)*the value at the point. This explanation relates to how you prove that fourier transform...
Answer:
The Fourier transform is like the limit of the Fourier series with the interval made very long, except...
Ron Maimon at Quora Mark as irrelevant Undo
What is the Fourier Transform of 1/(cosh x). I am studying for a test, and I don't quite understand how to do this. Here is a link: http://www.cs.berkeley.edu/~oholtz/121A/solll.pdf The solution for the Fourier transform of 1/(cosh (ax)) is on the problem...
Grace at Yahoo! Answers Mark as irrelevant Undo
For eg: signum(t), sin(t) and cos(t) (When I say sin(t) and cos(t) I am not talking about the one sided sin(t) *u(t) and cos(t) *u(t) ). I have always thought that laplace is a generalized transform and fourier is a special case of laplace transform...
Answer:
It is definitely true that Fourier is a special case of Bilateral Laplace (where in most nonperiodic...
Srijata Chakravorti at Quora Mark as irrelevant Undo
Probably, for "Zadeh, Lotfali Askar", an american scientist, also linked to the same transform.
Answer:
The auxiliary variable â€zâ€, was used by Ragazzini and Zadeh in [1] to denote...
Vinay Prabhu at Quora Mark as irrelevant Undo
"a Fourier series decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions" A fourier series is a sum of discrete elements, where as the fourier transform is the decomposition...
Answer:
In short, fourier series is for periodic signals and fourier transform is for aperiodic signals. Fourier...
Aakash Prasad at Quora Mark as irrelevant Undo
Take the example on wikipedia. http://en.wikipedia.org/wiki/Amplitude_modulation this graph on that Wikipedia page => http://en.wikipedia.org/wiki/File:AM_spectrum.svg shows that fourier transform of signal M is symmetrical about the vertical axis...
Answer:
With AM as in medium wave broadcast radio, the sidebands are the same (except the frequency order is...
Ecko at Yahoo! Answers Mark as irrelevant Undo
I m having trouble in determining that what is the correct formula for the fourier transform. In the book "Advance Engineering Mathematics" by erwin kreyszig, the formula used for the fourier transform is: ((1/2*pi)^(1/2))*integral from - inf...
Answer:
At first, I thought the top formula (with the √(1/2π) ) was using that factor as a normalization...
bad guy wanna get good at Yahoo! Answers Mark as irrelevant Undo
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