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 and Antenna Systems, Communication Systems

Fredrik Brännström

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Alex Alvarado

University of Cambridge

Erik Agrell

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

IEEE Transactions on Communications

0090-6778 (ISSN)

Vol. 61 4 1450-1459 6466342

MIMO-BICM: Fundamentals, Analysis, and Design

Swedish Research Council (VR), 2012-01-01 -- 2015-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

DOI

10.1109/TCOMM.2013.13.120401

More information

Latest update

5/2/2018 7