BER and SER for uncoded AWGN channels
The berawgn function returns the bit error rate (BER) and symbol error
rate (SER) in an additive white Gaussian noise (AWGN) channel for uncoded data using
various modulation schemes. The first input argument, EbNo
, is the
ratio of bit energy to noise power spectral density
(Eb/N0)
and its units are in dB. Values in the output ber
and
ser
vectors correspond to the theoretical error rate at the
specified
Eb/N0
levels for a Gray-coded signal constellation. For more information, see Analytical Expressions Used in
berawgn.
The numerical accuracy of the output returned by this function is limited by approximations related to the numerical implementation of the expressions to roughly two significant digits.
As an alternative to the berawgn
function, use the BER
Analyzer app and configure settings in the Theoretical
tab.
[1] Anderson, John B., Tor Aulin, and Carl-Erik Sundberg. Digital Phase Modulation. New York: Plenum Press, 1986.
[2] Cho, K., and D. Yoon. “On the General BER Expression of One- and Two-Dimensional Amplitude Modulations.” IEEE Trans. Commun. 50, no. 7, (2002): 1074-1080.
[3] Lee, P. J. “Computation of the Bit Error Rate of Coherent M-ary PSK with Gray Code Bit Mapping.” IEEE Trans. Commun. COM-34, no. 5, (1986): 488-491.
[4] Proakis, John G. Digital Communications 4th ed. New York: McGraw Hill, 2001.
[5] Simon, M. K, S. M. Hinedi, and W. C. Lindsey. Digital Communication Techniques – Signal Design and Detection. Prentice-Hall, 1995.
[6] Simon, M. K. “On the Bit-Error Probability of Differentially Encoded QPSK and Offset QPSK in the Presence of Carrier Synchronization.” IEEE Trans. Commun.. 54, (2006): 806-812.
[7] Lindsey, W. C., and M. K. Simon. Telecommunication Systems Engineering. Englewood Cliffs, N.J: Prentice-Hall, 1973.