Capacity of the Stationary Gaussian Channel
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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Information capacity of the stationary Gaussian channel is determined under the assumption that both the channel noise and the constraint are defined by rational spectral densities. The results complement a well-known result to Holsinger and Gallager. The new results given here show that 1 Attention can be restricted to wide sense stationary signals 2 The new results for the value of the capacity are complementary under the assumptions used here to the result of Holsinger and Gallager together, these results exhaust all possible values of the capacity 3 The constraints permitted in obtaining Theorem 3 enable the signal process to use more of the available noise bandwidth than signal processes obeying the constraints of the Holsinger-Gallager model if there is freedom to choose the constraint, then the capacity can be increased by using a constraint as in Theorem 3. Information theory.
- Operations Research