Since we are dealing with amplitudes and phases, it is
necessary two represent two values for each point in the pictures that
follow. I have adopted a colourful scheme for representing complex
numbers on the two-dimensional images. Amplitude is represented by
colour saturation and brightness, while phase is given
by hue. This is illustrated in the following figure:
The positive real (horizontal) axis to the right represents a phase of
0. Phase increases anti-clockwise, thus 0 degrees is
red, 120 degrees is green, and 240
degrees is blue.
Note that positive real numbers are red, and negative real
numbers are cyan. White represents zero magnitude.
Some Fourier transforms.
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