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Table 1 Theoretical value of some HOMs and HOCs without noise

From: A new method to solve the problem of facing less learning samples in signal modulation recognition

 

BPSK

QPSK

8PSK

16QAM

64QAM

4ASK

8ASK

C21

1

1

1

1

1

0.58

0.53

M40

1

− 1

0

0.68

0.619

0.89

0.73

M20

1

0

0

0

0

0.58

0.53

C40

2

1

0

0.68

0.619

0.12

0.13

M42

1

1

1

1.32

1.38

0.89

0.73

M21

1

1

1

1

1

0.58

0.53

C42

− 2

− 1

− 1

− 0.68

− 0.62

− 0.12

− 0.13

C42/C21

− 2

− 1

− 1

− 0.68

− 0.62

− 0.12

− 0.46

M63

1

1

1

1.96

2.23

1.77

1.28

C63

4

4

4

2.08

1.79

− 0.53

− 0.39

C63/C21

4

4

4

2.08

1.79

− 2.73

− 2.56