Assume that you have two parallel Gaussian channels with inputs X₁ and X2 and noises Z₁ and Z2, respectively. Assume that the noise powers are E[Z] = 0.5 and E[Z]=0.7, while the total available power is P = E[X²] + E[X²] = P₁ + P2 = 0.4. Find the optimal power allocation and corresponding capacity.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Assume that you have two parallel Gaussian channels with inputs X₁ and X2 and noises Z₁
and Z2, respectively. Assume that the noise powers are E[2] = 0.5 and EZ₂] = 0.7, while
the total available power is P = E[X²] + E(X²) = P₁ + P2 = 0.4. Find the optimal power
allocation and corresponding capacity.
Transcribed Image Text:Assume that you have two parallel Gaussian channels with inputs X₁ and X2 and noises Z₁ and Z2, respectively. Assume that the noise powers are E[2] = 0.5 and EZ₂] = 0.7, while the total available power is P = E[X²] + E(X²) = P₁ + P2 = 0.4. Find the optimal power allocation and corresponding capacity.
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