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Table 1 Example of PC mapping using the Gray code for M c M p = 8 2

From: Two-stage decoding algorithm for unmodulated parallel combinatory high-compaction multicarrier modulation signals

Message data

B i

Frequencies

x B i = [ x i , 1 x i , 2 … x i , 8 ] T

1100

{1,2}

{f1, f2}

[1 1 0 0 0 0 0 0] T

1101

{1,3}

{f1, f3}

[1 0 1 0 0 0 0 0] T

1111

{1,4}

{f1, f4}

[1 0 0 1 0 0 0 0] T

1110

{1,5}

{f1, f5}

[1 0 0 0 1 0 0 0] T

1010

{1,6}

{f1, f6}

[1 0 0 0 0 1 0 0] T

1011

{1,7}

{f1, f7}

[1 0 0 0 0 0 1 0] T

1001

{1,8}

{f1, f8}

[1 0 0 0 0 0 0 1] T

1000

{2,3}

{f2, f3}

[0 1 1 0 0 0 0 0] T

0000

{2,4}

{f2, f4}

[0 1 0 1 0 0 0 0] T

0001

{2,5}

{f2, f5}

[0 1 0 0 1 0 0 0] T

0011

{2,6}

{f2, f6}

[0 1 0 0 0 1 0 0] T

0010

{2,7}

{f2, f7}

[0 1 0 0 0 0 1 0] T

0110

{2,8}

{f2, f8}

[0 1 0 0 0 0 0 1] T

0111

{3,4}

{f3, f4}

[0 0 1 1 0 0 0 0] T

0101

{3,5}

{f3, f5}

[0 0 1 0 1 0 0 0] T

0100

{3,6}

{f3, f6}

[0 0 1 0 0 1 0 0] T