In this paper, we investigate joint optimization of power allocation factors (PAFs) and decoding order of users in the downlink of a non-orthogonal multiple access (NOMA) system over Nakagami-m fading channels. The objective is to guarantee fairness among the users in terms of outage probability (or its complement success probability). To this end, we maximize the minimum success probability (Max-MSP) among the users when only statistical channel state information (CSI) is available at the transmitter side. We solve such a problem by first proving that at the optimal solution, all the users have a common success probability (CSP), and then proposing an efficient algorithm for finding CSP of the users. The optimal PAFs and optimal decoding order are derived in closed form based on the CSP and statistical CSI of the users. It is proved that the proposed algorithm always converges to a unique optimal solution. Furthermore, we show that in contrast to Rayleigh fading channels, in Nakagami-m fading channels, the optimal decoding order not only depends on the average signal-to-noise ratio (SNR) of each user but also depends on the variance of the SNR and data rate of that user.INDEX TERMS Non-orthogonal multiple access (NOMA), Nakagami-m fading, outage probability, fairness, power allocation factor, decoding order.
In this paper, a new practical dirty paper coding scheme and its extension is proposed for interference mitigation of a single TV broadcast station in uplink and downlink of a cognitive radio network using both a single secondary user (SU) and multiple SU scenarios. In the single SU scenario, which is called interference cognitive radio channel, derived simulation results show that the transmission rate of the SU archives the capacity of an AWGN channel with the cost of a 2.5 dB extra signal-to-noise ratio. In the sequel, the proposed scheme is extended to a multiple SU scenario using direct sequence spread spectrum technique in both uplink and downlink considering a TV band. Derived simulation results show that the number of supportable SUs in our proposed scheme increases to a fully loaded scenario of the same multiuser direct sequence spread spectrum system. KEY WORDS: cognitive radio; dirty paper coding; interference suppuration; lattice quantizer R 2 ; meanwhile, S 2 knows the transmitted message of S 1 . To derive achievable rate, authors in [3] used the following ideas: Gel'fand and Pinsker's coding for channel with known interference in the transmitter [8], Costa's dirty paper coding (DPC) [9], achievable scheme for IFC [2] and capacity of Gaussian MIMO channel [10]. Also, achievable rate region for the IFC, which has been described by Han and Kobayashi [11], is used widely by the authors in [3]. Implementation of Costa's DPC idea [9] based on nonrandom codes has been made in [12] and [13] using lattice precoding for a single user scenario. In [12], authors used parallel concatenated code (PCC) or turbo code as a channel
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