2015
DOI: 10.1109/tcomm.2015.2464216
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Maximization of Worst-Case Weighted Sum-Rate for MISO Downlink Systems With Imperfect Channel Knowledge

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Cited by 11 publications
(11 citation statements)
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“…However, for problem (3), these approaches are inapplicable, since µ k is a variable. Popular existing approaches to solving (3) are based on robust optimization [19]. In particular, sphere bounding is used to turn (3b) into semi-infinite constraints [4].…”
Section: System Model and Problem Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…However, for problem (3), these approaches are inapplicable, since µ k is a variable. Popular existing approaches to solving (3) are based on robust optimization [19]. In particular, sphere bounding is used to turn (3b) into semi-infinite constraints [4].…”
Section: System Model and Problem Formulationmentioning
confidence: 99%
“…In particular, sphere bounding is used to turn (3b) into semi-infinite constraints [4]. Then a tractable safe approximation is achieved by treating error vector θ k at the numerator and the denominator of γ k (v k ; θ k ) independently [11], [19], [20]. However, the application of the such approach is restricted to the specific case of distribution of θ k , i.e.…”
Section: System Model and Problem Formulationmentioning
confidence: 99%
“…Hence, it is of paramount importance to incorporate CSI uncertainties into problem formulations of NOMA-based networks to guarantee the required quality-of-service (QoS) at different users. To this end, robust design is a standard approach to tackle the channel uncertainties [36]- [38] and it can be categorized primarily into two groups: I) worst-case design with norm-bounded channel uncertainties, where CSI errors are bounded within a known region [39], [40]; II) outage probability-based design by assuming that the channel errors are random variables with a known probability density function which is available at the transmitter [41], [42]. In [43], [44], robust designs for the multiple-input single-output (MISO) NOMA systems have been developed to maximize the sum rate and minimize the total transmit power, under the assumption of bounded channel uncertainties.…”
Section: A Literaturementioning
confidence: 99%
“…The robust sum rate optimization in non-orthogonal multiple access (NOMA) amplifying and forwarding (AF) relay networks is considered in [ 15 ], and the power allocation scheme and beamforming matrix are jointly optimized to achieve the maximum rate at the quality of service (QoS) constraints and relay transmission power constraints. In addition, a joint information beamforming and energy beamforming scheme based on semidefinite relaxation (SDR) and successive convex approximation (SCA) techniques is proposed to achieve the maximum secrecy rate of the multiple input single output (MISO) network [ 16 ], in which the CSI error is also restrained in a bounded elliptic region.…”
Section: Introductionmentioning
confidence: 99%