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Unlike for the conventional 2D butterfly diagram, the 2D spatial location of the input sub-DFT bins and the output DFT bins can be clearly illustrated, as in Figure 2.
Caption: FIGURE 1: 2D butterfly diagram for the VR-2 x 2 FFT algorithm.
Caption: FIGURE 2: 3D butterfly diagram for the VR-2 x 2 FFT algorithm.
On the Prospect of Using Butterfly Diagrams to Predict Cycle Minimum, Solar Phys.