EURASIP Journal on Wireless Communications and Networking

Table 1 Three possible channel state regions for the fading channel state χ for LTPC

From: Optimal power policies and throughput scaling analyses in fading cognitive broadcast channels with primary outage probability constraint

Region	Channel	Optimal	Outage	Probability
	state	power	at PU
	region	control
1	g<g_T	$p_{WF}^{*}$	Yes (PU turns OFF)	$ε_{p}^{0}$
2	g≥g_T, $ℬ_{1, χ}^{B} \leq ℬ_{2, χ}^{B}$	$p_{WF}^{*}$	Yes	$ε_{p} - ε_{p}^{0}$
3	g≥g_T, $ℬ_{1, χ}^{B} > ℬ_{2, χ}^{B}$	$p_{RP}^{*} = 0$	No	1−ε_p

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