![]() Note that if you use the asymmetric scaling, then you will still have an orthogonal transform, but not unitary (orthonormal). $$\left[\begin$$ Such matrices are called unitary matrices (aka orthonormal) and such transforms are called unitary transforms.įor DFT being a unitary transform, you need to have the symmetric scaling as in Eqs 1 and 2. The standard unscaled version does multiply the input vector by: ![]() It should be noted that, depending on the software used, scaling can be different, and ought to be checked. ![]() Now I would like to show with formulas why this convention gives me the right amplitude? I have already searched online and here on the forum, but I did not find any good answer that explain every passage.
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