Table 1 - uploaded by David Alan Meyer
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Bit-reversal process for a sequence of size N = 8.

Bit-reversal process for a sequence of size N = 8.

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This work is part of an effort to structurally integrate self-sensing functionality into smart composite materials using embedded microsensors and local network communication nodes. Here we address the issue of data management through the development of localized processing algorithms. We demonstrate that the two-dimensional fast Fourier transform...

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... reordering is achieved for a sequence by performing the following steps for each number: transform its index into a binary representation, reverse the order of bits, and transform back to the appropriate index. Table 1 shows this process for a sequence of size N = 8. The 1D FFT can therefore be achieved by bit-reversing the input sequence, and then calculating transforms of length 2, 4, 8, . . . ...

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