Talk:Relations between Fourier transforms and Fourier series

I believe this article is very useful, it explains the different transforms in a much more intuitive way than the article on Fourier Analysis, it would be a shame to have it deleted. To be honest the image illustrates the idea like no other text I have found thus far. Please let's make an effort to keep the article online, there must be a niche for it.189.211.23.181 (talk) 22:59, 25 November 2011 (UTC)

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I'm not native English so every suggestion is accepted. For now, my (not particularly inspired) proposals are:

1. Relations among the continuous, discrete and periodic Fourier transforms (maybe a bit improper)
2. Relations among the continuous Fourier transform, the DTFT, the Fourier series and the DFT (are abbreviations acceptable?)
3. Relations among the various Fourier transforms (too generic)

I hesitate between the first and the second. Comments are welcome :).

TheNoise 19:46, 13 July 2007 (UTC)

I'm happy with the new name ;).

I've completed the missing sections in the article and now I'm thinking of removing the math-stub status in the following days.

TheNoise 14:23, 15 July 2007 (UTC)

Already done, This article ceased to be a stub many days ago.--Cronholm¹⁴⁴ 14:42, 15 July 2007 (UTC)

Incorrect formulas on cube graph

$x_{n}=\sum _{k=-\infty }^{+\infty }x[n-kN]={\bar {x}}(nT)$     should be     ${\bar {x}}[n]=\sum _{k=-\infty }^{+\infty }x[n-kN]={\frac {1}{N}}\sum _{k=0}^{N-1}X_{k}\cdot e^{i2\pi {\frac {n}{N}}k}$

${\bar {X}}(f)={\frac {1}{T}}\sum _{k=-\infty }^{+\infty }X\!\left(f-{\frac {k}{T}}\right)$     should be     ${\bar {X}}(f)=\sum _{k=-\infty }^{+\infty }X\!\left(f-{\frac {k}{T}}\right)={\mathcal {F}}\ \left\{\sum _{n=-\infty }^{+\infty }x[n]\ \delta (t-nT)\right\}$

$x[n]=x(nT)\,$     should be     $x[n]=T\cdot x(nT)\,$

${\bar {X}}_{k}={\frac {1}{T_{0}}}{\bar {X}}\left({\frac {k}{T_{0}}}\right)$     should be     $X_{k}={\bar {X}}\left({\frac {k}{T_{0}}}\right)=\sum _{n=0}^{N-1}{\bar {x}}[n]\cdot e^{-i2\pi {\frac {k}{N}}n}$

--Bob K (talk) 13:26, 2 December 2011 (UTC)