Find a permutation matrix p

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The bit-reverse operation used in FFT algorithm is a permutation operation. The following table shows the bit-reverse operation used in an eight-point FFT computation. Find a permutation matrix P such that: y(binary) = Px(binary)

x Decimal x Binary y Bit-reverse y Decimal
0 000 000 0
1 001 100 4
2 010 010 2
3 011 110 6
4 100 001 1
5 101 101 5
6 110 011 3
7 111 111 7

Reference no: EM131022633

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