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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 )