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Table 1 Instantaneous error probability for different modulation schemes

From: Performance analysis of transmit antenna selection for cognitive radio systems with imperfect channel estimation

P S (x)

Modulation scheme

Parameter selection

αexp(−β x)

DPSK

α=0.5,β=1

 

NCBFSK

α=0.5,β=0.5

\(\alpha Q(\sqrt {\beta x})\)

BPSK

α=0.5,β=1

 

BFSK

α=0.5,β=0.5

 

MPAM

\(\alpha = \frac {M-1}{M},\beta =\frac {3\log _{2}M}{M^{2}-1}\)

 

MQAM

\(\alpha \approx 2(1-\frac {1}{\sqrt {M}}),\beta \approx \frac {1.5}{M-1}\)

 

MPSK

\(\alpha \approx 1,\beta \approx sin^{2}(\frac {\pi }{M})\)

  1. Note: \(Q(x)=\frac {2}{\sqrt {\pi }}\int _{x}^{+\infty }\exp (-t^{2})dt\)