%0 Conference Paper %1 6469334 %A Lazich, D. E. %A Senger, C. %A Bossert, M. %B SCC 2013; 9th International ITG Conference on Systems, Communication and Coding %D 2013 %K myown from:christiansenger %P 1-5 %T A Corrected Disproof of the Strong Simplex Conjecture %U https://ieeexplore.ieee.org/document/6469334 %X In the disproof of the Strong Simplex Conjecture presented in [1], a counterexample signal set was found that has higher average probability of correct optimal decoding than the corresponding regular simplex signal set, when compared at small values of the signal-to-noise ratio. The latter was defined as the quotient of average signal energy and average noise power. In this paper, it is shown that this interpretation of the signal-tonoise ratio is inappropriate for a comparison of signal sets, since it leads to a contradiction with the Channel Coding Theorem. A modified counterexample signal set is proposed and examined using the classical interpretation of the signal-to-noise ratio, i.e., as the quotient of average signal energy and average noise energy. This signal set outperforms the regular simplex signal set for small signal-to-noise ratios without contradicting the Channel Coding Theorem, hence the Strong Simplex Conjecture remains disproven.

@inproceedings{6469334, abstract = {In the disproof of the Strong Simplex Conjecture presented in [1], a counterexample signal set was found that has higher average probability of correct optimal decoding than the corresponding regular simplex signal set, when compared at small values of the signal-to-noise ratio. The latter was defined as the quotient of average signal energy and average noise power. In this paper, it is shown that this interpretation of the signal-tonoise ratio is inappropriate for a comparison of signal sets, since it leads to a contradiction with the Channel Coding Theorem. A modified counterexample signal set is proposed and examined using the classical interpretation of the signal-to-noise ratio, i.e., as the quotient of average signal energy and average noise energy. This signal set outperforms the regular simplex signal set for small signal-to-noise ratios without contradicting the Channel Coding Theorem, hence the Strong Simplex Conjecture remains disproven.}, added-at = {2020-03-10T17:15:44.000+0100}, author = {{Lazich}, D. E. and {Senger}, C. and {Bossert}, M.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2eb8bc0146d7f077d75c36922fef7006e/inue}, booktitle = {SCC 2013; 9th International ITG Conference on Systems, Communication and Coding}, description = {A Corrected Disproof of the Strong Simplex Conjecture - VDE Conference Publication}, interhash = {83b7285963cc2eabe50bf0dfd5680ca8}, intrahash = {eb8bc0146d7f077d75c36922fef7006e}, issn = {null}, keywords = {myown from:christiansenger}, month = jan, pages = {1-5}, timestamp = {2020-03-10T16:15:44.000+0100}, title = {A Corrected Disproof of the Strong Simplex Conjecture}, url = {https://ieeexplore.ieee.org/document/6469334}, year = 2013 }