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On box-operations for L-values and their applicability to soft-decision algorithms

: Adrat, M.; Tschauner, M.; Bebawi, N.; Antweiler, M.; Eschbach, B.; Vary, P.


Ecole Royale Militaire -ERM-, Brüssel:
International Conference on Military Communications and Information Systems, ICMCIS 2016 : Brussels, Belgium, 23rd-24th May 2016
Piscataway, NJ: IEEE, 2016
ISBN: 978-1-5090-1777-5
ISBN: 978-1-5090-1778-2
ISBN: 978-1-5090-0472-0
International Conference on Military Communications and Information Systems (ICMCIS) <2016, Brussels>
Conference Paper
Fraunhofer FKIE ()

Modern digital communication systems can benefit from soft-decision algorithms in receiver implementations. Such algorithms require reliability information about every data bit which is typically given in terms of Log-Likelihood Ratios (LLRs) or short L-Values. Several efficient receiver implementations based on L-Values have already been proposed in the literature. Many of them exploit the famous Box-Plus operation. Its inverse has also been introduced in terms of the Box-Minus operation. In this letter, at first the specific characteristics of both operations, the Box-Plus as well as the Box-Minus operation, will briefly be reviewed. Secondly, as a novelty we will define two more operators, the Box-Multiply and the Box-Divide operation. An illustrative example will demonstrate the necessity for these two new operators. Finally, we will propose a practical solution for eliminating a critical side constraint of the Box-Minus operation which was known to be a limiting factor so far.