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- W2808785612 abstract "In this paper, we study the problem of textit{activity detection} (AD) in a massive MIMO setup, where the Base Station (BS) has $M gg 1$ antennas. We consider a block fading channel model where the $M$-dim channel vector of each user remains almost constant over a textit{coherence block} (CB) containing $D_c$ signal dimensions. We study a setting in which the number of potential users $K_c$ assigned to a specific CB is much larger than the dimension of the CB $D_c$ ($K_c gg D_c$) but at each time slot only $A_c ll K_c$ of them are active. Most of the previous results, based on compressed sensing, require that $A_cle D_c$, which is a bottleneck in massive deployment scenarios such as Internet-of-Things (IoT) and Device-to-Device (D2D) communication. In this paper, we show that one can overcome this fundamental limitation when the number of BS antennas $M$ is sufficiently large. More specifically, we derive a textit{scaling law} on the parameters $(M, D_c, K_c, A_c)$ and also textit{Signal-to-Noise Ratio} (SNR) under which our proposed AD scheme succeeds. Our analysis indicates that with a CB of dimension $D_c$, and a sufficient number of BS antennas $M$ with $A_c/M=o(1)$, one can identify the activity of $A_c=O(D_c^2/log^2(frac{K_c}{A_c}))$ active users, which is much larger than the previous bound $A_c=O(D_c)$ obtained via traditional compressed sensing techniques. In particular, in our proposed scheme one needs to pay only a poly-logarithmic penalty $O(log^2(frac{K_c}{A_c}))$ for increasing the number of potential users $K_c$, which makes it ideally suited for AD in IoT setups. We propose low-complexity algorithms for AD and provide numerical simulations to illustrate our results. We also compare the performance of our proposed AD algorithms with that of other competitive algorithms in the literature." @default.
- W2808785612 created "2018-06-29" @default.
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- W2808785612 date "2018-03-06" @default.
- W2808785612 modified "2023-09-27" @default.
- W2808785612 title "A New Scaling Law for Activity Detection in Massive MIMO Systems" @default.
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