Some Comments on the Strong Simplex Conjecture

Details Some Comments on the Strong Simplex Conjecture Some Comments on the Strong Simplex Conjecture

2012-02-06

arxiv.org/abs/1202.1081v1

Computer Science

Information Theory

Submitted to the 2012 IEEE International Symposium on Information Theory, Cambridge, MA, USA, July 1 - 6, 2012. 5 pages, 6 fig

Scientific paper

In the disproof of the Strong Simplex Conjecture presented in [Steiner, 1994], 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-to-noise 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 proven false.

Affiliated with

Also associated with

No associations

Rating

Some Comments on the Strong Simplex Conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Comments on the Strong Simplex Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Comments on the Strong Simplex Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119162