Fast Fourier transform: Difference between revisions
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<pre>{4. + 0. I, 1. - 2.4142136 I, 0. + 0. I, 1. - 0.41421356 I, 0. + 0. I, 1. + 0.41421356 I, 0. + 0. I, 1. + 2.4142136 I}</pre> |
<pre>{4. + 0. I, 1. - 2.4142136 I, 0. + 0. I, 1. - 0.41421356 I, 0. + 0. I, 1. + 0.41421356 I, 0. + 0. I, 1. + 2.4142136 I}</pre> |
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Here is a user-space definition for good measure. |
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<lang Mathematica>fft[l__ /; Length@l == 1] := N@l |
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fft[l__] := |
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Join[#, #] &@fft@l[[1 ;; ;; 2]] + |
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Exp[(-2 \[Pi] I)/Length@l (Range@Length@l - 1)] (Join[#, #] &@ |
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fft[l[[2 ;; ;; 2]]]) |
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fft[{1, 1, 1, 1, 0, 0, 0, 0}] // Column</lang> |
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<pre>4. |
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1. -2.41421 I |
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0. +0. I |
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1. -0.414214 I |
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0. |
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1. +0.414214 I |
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0. +0. I |
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1. +2.41421 I |
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</pre> |
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=={{header|MATLAB}} / {{header|Octave}}== |
=={{header|MATLAB}} / {{header|Octave}}== |
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