Title :
Sensitivity of channel capacity
Author :
Pinsker, Mark S. ; Prelov, Vyacheslav V. ; Verdu, Sergio
Author_Institution :
Inst. of Problems of Inf. Transmission, Acad. of Sci., Moscow, Russia
fDate :
11/1/1995 12:00:00 AM
Abstract :
In some channels subject to crosstalk or other types of additive interference, the noise is the sum of a dominant Gaussian noise and a relatively weak non Gaussian contaminating noise. Although the capacity of such channels cannot be evaluated in general, the authors analyze the decrease in capacity, or sensitivity of the channel capacity to the weak contaminating noise. The main result is that for a very large class of contaminating noise processes, explicit expressions for the sensitivity of a discrete-time channel capacity do exist. Moreover, in those cases the sensitivity depends on the contaminating process distribution only through its autocorrelation function and so it coincides with the sensitivity with respect to a Gaussian contaminating noise with the same autocorrelation function
Keywords :
Gaussian channels; Gaussian noise; channel capacity; correlation theory; crosstalk; discrete time systems; interference (signal); sensitivity; additive interference; autocorrelation function; channel capacity; contaminating process distribution; crosstalk; discrete-time channel capacity; dominant Gaussian noise; nonGaussian contaminating noise; Additive noise; Autocorrelation; Channel capacity; Crosstalk; Degradation; Gaussian channels; Gaussian noise; Information theory; Interference; Signal to noise ratio;
Journal_Title :
Information Theory, IEEE Transactions on