On the signal selection problem for phase conherent and incoherent communication channels
<p>Landau and Slepian [10] have recently obtained a lower bound for the probability of error for any equienergy signal set in the infinite band Gaussian, additive noise channel. They further claim that the regular simplex signal set achieves equality in their lower bound and thereby prove...
| Summary: | <p>Landau and Slepian [10] have recently obtained a lower bound for
the probability of error for any equienergy signal set in the infinite
band Gaussian, additive noise channel. They further claim that the
regular simplex signal set achieves equality in their lower bound and
thereby proves the optimality of this set.</p>
<p>In the following paper it is proven that the simplex signals
achieve equality in the lower bound of Landau and Slepian only when
the dimension n is less than or equal to three. There is also
shown to be an equivalence between certain optimal signal sets for the
phase coherent channel described by Landau and Slepian and certain
optimal signal sets for the incoherent case which have been recently
discovered by Schaffner and Krieger [11] and [12].</p> |
|---|