Open AccessImproving the bit error rate performance by optimising energy allocation based on union bound
Author(s) -
Xia Shao,
Weidang Zhang,
Ping Li
Publication year - 2014
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2014.0160
Subject(s) - bit error rate , bit (key) , energy (signal processing) , algorithm , hamming distance , hamming code , code word , mathematics , computer science , multiplicity (mathematics) , bitwise operation , statistics , decoding methods , block code , mathematical analysis , computer security , programming language
A new method to improve the bit error rate (BER) performance by optimising the bit energy is proposed in this study. This method is mainly based on a formula derived from the union bound that can estimate the BER for every bit in the codeword sequence. Then by mathematical optimisation and assisted with a BER distribution, the energy for every bit can be optimised so that the average BER achieves the minimum value. Compared with other methods, this method considering all the codewords with minimum Hamming weights and their multiplicity to each bit of the codewords. The simulation examples show that the average BER is improved not only at high signal‐to‐noise ratio (SNR), but also at low and moderate SNRs.