Question

Consider a flat fading channel in which, for a fixed transmit power P¯, the received SNR

is one of four values: γ1 = 30 dB, γ2 = 20 dB, γ3 = 10 dB, and γ4 = 0 dB. The probabili-

ties associated with each state are p1 = .2, p2 = .3, p3 = .3, and p4 = .2. Assume that both

transmitter and receiver have CSI.

(a) Find the optimal power adaptation policy P[i]/P¯ for this channel and its correspond-

ing Shannon capacity per unit hertz (C/B).

(b) Find the channel inversion power adaptation policy for this channel and associated

zero-outage capacity per unit bandwidth.

(c) Find the truncated channel inversion power adaptation policy for this channel and as-

sociated outage capacity per unit bandwidth for three different outage probabilities:

Pout = .1, Pout = .25, and Pout (and the associated cutoff γ0 ) equal to the value that

achieves maximum outage capacity.​

Answer 1

Answer:

ok

Explanation: