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Table 3 Comparison of SM X , P UX , P X (A) and SM X , P UX ¯ , P X ¯ (B) with respect to MG SNR dB and MG R 1

From: Achievable rates optimization for broadcast channels using finite size constellations under transmission constraints

M SNR1 SNR2 MG SNR dB (A|B) MG R 1 (A|B)
   8 0.39 7.46%
4 10 6 0.17 3.51%
   4 0.05 1.77%
   2 0.01 0.38%
   14 0.7 1 ( M 1 = 4 , M 2 = 2 ) 20.17 % ( M 1 = 4 , M 2 = 2 )
8 16 12 0.5 7 ( M 1 = 4 , M 2 = 2 ) 13.21 % ( M 1 = 4 , M 2 = 2 )
   10 0.4 1 ( M 1 = 4 , M 2 = 2 ) 13.07 % ( M 1 = 2 , M 2 = 4 )
   8 0.3 3 ( M 1 = 2 , M 2 = 4 ) 18.93 % ( M 1 = 2 , M 2 = 4 )
   16 1.0 5 ( M 1 = 8 , M 2 = 2 ) 10.67 % ( M 1 = 8 , M 2 = 2 )
16 18 14 0.8 7 ( M 1 = 8 , M 2 = 2 ) 11.54 % ( M 1 = 8 , M 2 = 2 )
   12 0.6 4 ( M 1 = 8 , M 2 = 2 ) 12.08 % ( M 1 = 4 , M 2 = 4 )
   10 0.4 9 ( M 1 = 8 , M 2 = 2 ) 19.53 % ( M 1 = 4 , M 2 = 4 )