Derive a formula for the optimal power allocation on a, Econometrics

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Derive a formula for the optimal power allocation on a

1. Find the two-user broadcast channel capacity region under superposition coding for transmit power P = 10 mW, B = 100 kHz, and N₀ = 10^-9 W/Hz.

2. Show that the sum-rate capacity of the AWGN BC is achieved by sending all power to the user with the highest channel gain.

3. Derive a formula for the optimal power allocation on a fading broadcast channel to maximize sum-rate.

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Econometrics: Derive a formula for the optimal power allocation on a

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