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Space-time Fourier transform
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Space-time Fourier transform : ウィキペディア英語版
Space-time Fourier transform

When dealing with a problem defined in a restricted region of space and in a time interval, f=f (r,t), it can be useful to calculate the space-time Fourier transforms.
The correlated space parameters are:
: k_x = \frac
: k_y = \frac
: k_z = \frac
where ''L'', ''D'' and ''W'' are the dimensions of the space region and ''l'', ''m'', and ''n'' are the integers.
: f\left(k,\omega\right) = \int_\Omega \int_T \sin(k_x x) \sin(k_y y) \sin(k_z z) \exp(-i\omega t) \, dt \, dx \, dy \,dz
''T'' is the time interval and \Omega is the volume of the concerned region.
==See also==

*Fourier transform
*Sine and cosine transforms

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Space-time Fourier transform」の詳細全文を読む



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