2019
DOI: 10.1109/twc.2019.2892463
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On the Uplink Max–Min SINR of Cell-Free Massive MIMO Systems

Abstract: A cell-free massive multiple-input multiple-output 1 system is considered using a max-min approach to maximize 2 the minimum user rate with per-user power constraints. First, 3 an approximated uplink user rate is derived based on channel 4 statistics. Then, the original max-min signal-to-interference-5 plus-noise ratio problem is formulated for the optimization of 6 receiver filter coefficients at a central processing unit and user 7 power allocation. To solve this max-min non-convex problem, 8 we decouple the… Show more

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Cited by 168 publications
(178 citation statements)
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“…For the multi-path case, P A = AA † = A(A H A) −1 A H represents the projection matrix onto the subspace spanned by A, and A is the steering matrix given in (3). As shown in [30] while including the large scale path-loss parameter β, the MSE (18) of the considered DFT estimator coincides with that of the ML estimator (20). Using Lemma 1 in [30] while including the large-scale fading parameter and p k p H k = 1, the MSE of υ is expressed as…”
Section: Performance Analysismentioning
confidence: 93%
See 1 more Smart Citation
“…For the multi-path case, P A = AA † = A(A H A) −1 A H represents the projection matrix onto the subspace spanned by A, and A is the steering matrix given in (3). As shown in [30] while including the large scale path-loss parameter β, the MSE (18) of the considered DFT estimator coincides with that of the ML estimator (20). Using Lemma 1 in [30] while including the large-scale fading parameter and p k p H k = 1, the MSE of υ is expressed as…”
Section: Performance Analysismentioning
confidence: 93%
“…Moreover, in [19], the non-convex problem of power allocation for downlink global energy efficiency maximization is addressed. In [20], an uplink TDD-based cell-free massive MIMO system is considered. Geometric programming GP is used to sub-optimally solve a quasi-linear max-min signal-to-interference-and-noise ratio (SINR) problem.…”
Section: A Related Workmentioning
confidence: 99%
“…Instead, we utilize the so-called use-and-then-forget bound that is widely used in Massive MIMO [2,Th. 4.4], and also in [7], [30], [31] for Cell-Free Massive MIMO with D i = I M ∀i and specific combining vectors.…”
Section: B Uplink Data Transmissionmentioning
confidence: 99%
“…Since this problem is non-convex, we use alternating optimization to develop an algorithm that solves two sub-problems and update the variables iteratively [11]. Let a (n−1) k , η (n−1) k denote the values of the optimization variables in the iteration n−1.…”
Section: Baseline Heuristic Schemesmentioning
confidence: 99%