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Table 2 Comparison between the required \({E}_\mathrm{b}/{N}_{0}\) for TPC and iVTC to achieve a low BER (\(10^{-5}\)) in an AWGN channel

From: Irregular Vector Turbo Codes with low complexity

Code

Modulation

TPC

\({\bf{E}}_{\bf{{b}/{N}_{0}}}\) (dB)

iVTC

\({\bf{E}}_{\bf{{b}/{N}_{0}}}\)

(dB)

K, N (iVTC)

iVTC bit degree and (fractions)

(63,57)

BPSK

3.35

3.60

20, 26

2(0.9),10(0.05) 11(0.05)

QPSK

3.55

3.50

20, 26

2(0.85), 5(0.1) 13(0.05)

16QAM

7.04

6.40

20, 26

2(0.85), 7(0.05) 8(0.1)

64QAM

12.55

11.18

20, 26

2(0.80), 7(0.15) 4(0.05)

(127,120)

BPSK

3.69

3.80

60, 67

2(1)

3.60

50, 57

2(0.9) 6(0.1)

3.40

40, 47

2(0.9), 7(0.05) 17(0.05)

QPSK

5.10

5.15

60, 67

2(1)

4.80

50, 57

2(0.9) 6(0.1)

4.30

40, 47

2(0.9), 7(0.05) 17(0.05)

16QAM

7.78

7.90

60, 67

2(1)

7.30

50, 57

2(0.96) 12(0.04)

7.10

40, 47

2(0.9) 12(0.1)

64QAM

12.48

12.10

60, 67

2(1)

11.50

50, 57

2(0.98) 22(0.02)

11.20

40, 47

2(0.9), 9(0.05) 15(0.05)

(255,247)

BPSK

4.24

4.16

100,108

2(0.97),18(0.02) 17(0.01)

QPSK

8.13

7.15

100,108

2(0.97),19(0.02) 15(0.01)

16QAM

10.06

9.45

100,108

2(0.97),19(0.02) 15(0.01)

64QAM

14.47

13.59

100,108

2(0.97),19(0.02) 15(0.01)