On the Exact BER of Bit-Wise Demodulators for One-Dimensional Constellations
arXiv:1206.2478 · doi:10.1109/TCOMM.2013.13.120401
Abstract
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). 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).
References in corpus (3)
Cited by in corpus (5)
- Replacing the Soft FEC Limit Paradigm in the Design of Optical Communication Systems
- High-SNR Asymptotics of Mutual Information for Discrete Constellations with Applications to BICM
- On the Information Loss of the Max-Log Approximation in BICM Systems
- Asymptotic Comparison of ML and MAP Detectors for Multidimensional Constellations
- Performance Prediction Recipes for Optical Links