Capacity analysis of multicast transmission schemes in a spectrum-sharing scenario

Abstract

In this study, the authors consider the asymptotic capacity of wireless multicast and unicast transmission schemes in a spectrum-sharing system. In these schemes, a secondary access point (SAP) utilises the licensed spectrum of an active primary user (PU) to send a common information to multiple secondary users simultaneously, as long as the interference power inflicted on the PU is less than a predefined threshold. At the SAP, interference channel-state information between the SAP and the PU is used to calculate the maximum allowable SAP transmit power to limit the interference. The authors derive the average capacity of these schemes based on extreme value theory. From the derived asymptotic capacities, the insights to the capacity behaviour can be drawn.

Asymptotic performance analysis for common data delivery in cognitive radio networks

“…Note that the results in [12] have the similar implication. According to [12], the total throughput for CM scales as Θ(Q).…”

“…Then it is easy to verify that lim x→∞ g (x) = 0. According to Theorem 8.3.6 in [15], F γ (x) falls in the Domain of Attraction of Gumbel distribution for maxima, and the normalizing constants can be chosen as (12) and (13), completing the proof.…”

“…Since the interference from the PU transmitter can be translated into the noise term of the CRUs [11], [12], the received SNR of CRU u can be expressed as…”

“…Considering that in practical scenario, the interference threshold Q is far below the maximum transmit power of a base station P 0 , we will adopt this assumption in the following as in [11], [12]. If Q P 0 , we have following approximations…”

“…The authors in [7], [10] studied asymptotic performance of CM in non-CR scenario. The work [11], [12] focused on asymptotic performance of unicast and CM in CRNs, respectively. However, they did not take MDCM into consideration.…”