Min-max scaling on DCT coefficients

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If I do DCT on an input value with pixel range [-128, 127], next how do I min-max scale this DCT transformed output? What should be my maximum and minimum DCT values that I can use to find the [0,1] range re-scaled DCT coefficients?

rescaled dct = (dct - 
dct.min())/(dct.max()-dct.min())

I have looked at pixel value equivalents

 pixel.min()=0 and pixel.max()=255 are the rescaling values for pixel domain rescaling.
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