# Accession Number:

## AD0287453

# Title:

## UPPER BOUND TO THE CAPACITY OF A LINEAR TIMEVARYING CHANNEL WITH ADDITIVE GAUSSIAN NOISE

# Descriptive Note:

# Corporate Author:

## MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

# Personal Author(s):

# Report Date:

## 1962-09-26

# Pagination or Media Count:

## 1.0

# Abstract:

The analysis is concerned with the evaluation of the upper bound to the capacity of a linear time-varying channel obtained by finding the capacity of the same channel when its behavior at all times is known a priori. Numerical evaluation turns out to depend on the ditribution of the eigenvalues of a random infinite-dimensional matrix, which is apparently an unsolved mathematical problem. Evaluation is possible in two special ases first, where the channel is not time-varying in which case the capacity formula reduces to that formerly known second, when the channel has no memory, that is y ax u, where a is random and n is white and gaussian. 9author