On the Exact BER of Bit-Wise Demodulators for One-Dimensional Constellations
Journal article, 2013
The optimal bit-wise demodulator for M-ary pulse amplitude modulation (PAM) over the additive white Gaussian noise channel is analyzed in terms of uncoded bit-error rate (BER). The BER analysis is based on studying the bit patterns that form a labeling. New closed-form BER expressions for 4-PAM with any labeling are developed. Moreover, closed-form BER expressions for 11 out of 23 possible bit patterns for 8-PAM are presented, which enable us to obtain the BER for 8-PAM with some of the most popular labelings, including the binary reflected Gray code and the natural binary code. Numerical results show that, regardless of the labeling, there is no difference between the optimal demodulator and the symbol-wise demodulator for any BER of practical interest (below 0.1).
demodulator
bit-interleaved coded modulation
Additive white Gaussian noise channel
demapper
LLRs
pulse-amplitude modulation
logarithmic likelihood ratio
uncoded transmission
binary reflected Gray code
bit error probability
Author
Mikhail Ivanov
Chalmers, Signals and Systems, Communication, Antennas and Optical Networks
Fredrik Brännström
Chalmers, Signals and Systems, Communication, Antennas and Optical Networks
Alex Alvarado
University of Cambridge
Erik Agrell
Chalmers, Signals and Systems, Communication, Antennas and Optical Networks
IEEE Transactions on Communications
0090-6778 (ISSN) 15580857 (eISSN)
Vol. 61 4 1450-1459 6466342MIMO-BICM: Fundamentals, Analysis, and Design
Swedish Research Council (VR) (2011-5950), 2012-01-01 -- 2015-12-31.
Areas of Advance
Information and Communication Technology
Subject Categories
Telecommunications
DOI
10.1109/TCOMM.2013.13.120401