Modem Performance

Attention

Add figures, include performance data for non-linear types

As discussed in [section-fec-performance], the performance of an error-correction scheme is typically measured in the bit error rate (BER)|the average error probability for a bit to be in error in the presence of additive white Gauss noise (AWGN) [1] .

The bit error rate (BER) performance of the different available modulation schemes can be seen in Figures [fig-modem-M2]–[ref-fig-modem-M256], relative to the ratio of energy per bit to noise power (\(E_b/N_0\)). The raw data can be found in the doc/data/modem-ber/ subdirectory.

../_images/performance-0.png

Figure 60 Bit error rates vs. \(E_b/N_0\) for \(M=2\).

Table 3 \(M=2\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

BPSK, 2-ASK

9.59

9.59

DBPSK

10.46

10.46

OOK

12.61

12.61
Table 4 \(M=4\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

QPSK, 4-QAM

12.59

9.59

4-APSK

14.76

11.75

DQPSK

14.93

11.92

4-ASK

16.59

13.58
Table 5 \(M=8\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

8-APSK

16.12

11.35

8-QAM

17.28

12.51

8-PSK

17.84

13.07

8-DPSK

20.62

15.85

8-ASK

22.61

17.84
Table 6 \(M=16\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

ARB-16-OPT

19.15

13.13

16-QAM

19.57

13.55

16-APSK

19.92

13.90

V.29

20.48

14.45

16-PSK

23.43

17.41

16-DPSK

26.43

20.41

16-ASK

28.54

22.52
Table 7 \(M=32\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

ARB-32-OPT

22.11

15.12

32-SQAM

22.56

15.57

32-APSK

23.43

16.44

32-QAM

23.59

16.60

32-PSK

29.38

22.38

32-DPSK

32.38

25.39
Table 8 \(M=64\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

ARB-64-OPT

25.22

17.44

64-QAM

25.50

17.71

64-APSK

27.06

19.28

ARB-64-VT

31.67

23.89

64-PSK

35.32

27.38

64-DPSK

38.28

30.50
Table 9 \(M=128\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

ARB-128-OPT

28.19

19.74

128-SQAM

28.42

19.97

128-QAM

29.60

21.15

128-APSK

30.55

22.10
Table 10 \(M=256\) BER performance, \(\hat{P}=10^{-5}\)

Scheme

\(E_s/N_0\)

\(E_b/N_0\)

ARB-256-OPT

31.09

22.06

256-QAM

31.56

22.53

256-APSK

33.10

24.06

Footnotes