16QAM BER with Gray Mapping

Derive the theoretical 16QAM bit error rate (BER) with Gray coded constellation mapping in AWGN

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The Matlab/Octave script performs the following:
(a) Generation of random binary sequence
(b) Assigning group of 4 bits to each 16-QAM constellation symbol per the Gray mapping
(c) Addition of white Gaussian Noise
(d) Demodulation of 16-QAM symbols and
(e) De-mapping per decimal to Gray conversion
(f) Counting the number of bit errors
(g) Running this for each value of Eb/No in steps of 1dB.
For the discussion on the theoretical BER for 16QAM, please refer to the post
http://www.dsplog.com/2008/06/05/16qam-bit-error-gray-mapping/

Cite As

Krishna Sankar M (2026). 16QAM BER with Gray Mapping (https://www.mathworks.com/matlabcentral/fileexchange/20569-16qam-ber-with-gray-mapping), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0