Title :
On the discreteness of capacity-achieving distributions
Author :
Tchamkerten, Aslan
Author_Institution :
Lab. de Theorie de l´´Inf., Ecole Polytech. Fed. de Lausanne, Switzerland
Abstract :
We consider a scalar additive channel x → x + N whose input is amplitude constrained. By extending Smith´s (1969) argument, we derive a sufficient condition on noise probability density functions (pdf) that guarantee finite support for the associated capacity-achieving distribution(s).
Keywords :
Gaussian channels; Gaussian noise; channel capacity; statistical distributions; capacity-achieving distributions; discreteness; finite support; noise probability density functions; pdf; scalar additive channel; Additive noise; Communication systems; Gaussian channels; Gaussian noise; Noise level; Probability density function; Probability distribution; Rayleigh channels; Sufficient conditions; Tail; Additive channel; capacity-achieving distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.836662
