Table 1: Distribution of the modulation levels for different power optimized schemes and their gains.

MSB LSB Average spectral efficiency BW efficiency gain% Gain at 𝐸 𝑏 / 𝑁 0 = 0 d B Gain at 𝐸 𝑏 / 𝑁 0 = 4 d B Gain at 𝐸 𝑏 / 𝑁 0 = 8 d B Gain at 𝐸 𝑏 / 𝑁 0 = 1 2 d B Gain at 𝐸 𝑏 / 𝑁 0 = 1 6 d B
Combination number 𝑚 7 𝑚 6 𝑚 5 𝑚 4 𝑚 3 𝑚 2 𝑚 1 𝑚 0

116 16 16161616161640 4.97 7.8411.11 12.79 11.33
264 16 161616161644 07.55 10.8314.47 15.07 6.75
364 16 16161616 16 16 4.25 6.254.987.87 11.1511.63 2.93
464 64 161616164 44 0 9.50 13.45 17.2115.73 4.68
564 64 1616161616 44.25 6.25 7.59 10.9014.7312.89 −0.54
664 64 1616161616164.512.5 5.017.9311.12 9.9 −3.79
764 64 6416164 4 44 010.71 15.5818.1714.81 1.07
864 64 64161616 4 44.25 6.25 9.5913.4816.0512.51 −2.03
964 64 641616161644.512.57.6610.92 13.66 10.15 −5.25
1064 64 641616 161616 4.75 18.75 5.06 8.01 10.84 7.72 −9.38
1164 6464644 4444011.1316.3817.4312.78 −3.65
1264 64 646416 444 4.25 6.25 10.8215.05 15.99 11.16−6.59
1364 64 64 64 16 16 4 4 4.5 12.5 9.68 13.23 14.24 9.14 −8.65
1464 64 6464161616 44.75 18.757.74 10.87 12.20 7.31 −11.69
1564 64 646416 161616525 5.15 8.03 9.755.18−14.22
1664 64 6464644 4 4 4.5 12.510.8613.47 13.287.373 −12.54
1764 64 646464 164 4 4.75 18.759.7312.0311.81 5.87 −14.41
1864 64 646464 1616 4 5257.8210.0810.04 4.20 −16.93
1964 64 6464641616 16 5.25 31.255.24 7.677.99 2.28−19.10
2064 64 6464646444 5259.00 9.85 8.93 2.33 −20.10
2164 64 64646464164 5.25 31.257.39 8.34 7.44 0.83 −21.90
2264 64 6464646416165.5 37.5 5.12 6.37 5.69 −0.81 −23.81
2364 64 646464646445.5 37.5 5.69 5.82 4.42−2.69 −27.10
2464 6464646464 64 16 5.75 43.75 3.97 4.22 2.91 −4.11 −28.83
2564 64 6464646464646501.68 1.41 −0.29 −7.61−33.08