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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