Abstract
In this work, we investigate the problem of channel and rate allocation for LTE-Unlicensed (LTE-U) to efficiently coexist with WiFi access points (APs). Specifically, we formulate an auction mechanism where LTE-U first announces an aggregation number (number of WiFi channels that LTE-U wishes to aggregate) and a reserve rate (maximum rate that LTE-U is willing to allocate to an AP), following which the APs decide their mode of operation—cooperation or competition. In cooperation mode, an AP allows LTE-U to exclusively occupy its channel (in return for a rate) while in the competition mode both LTE-U and AP simultaneously contend for channel access. We characterize the solution to the auction problem in terms of Symmetric Bayesian Nash Equilibrium (SBNE) and prove results illustrating its structure. We then optimize the auction mechanism by evaluating the optimal aggregation number and reserve rate that maximizes the total rate achieved by LTE-U subject to a constraint on APs’ rates. Finally, through simulation experiments we demonstrate the efficacy of our algorithm in comparison with (1) the strategy of aggregating a fixed number of channels and (2) a heuristic algorithm where a random number of channels are aggregated.
This work was supported by an INSPIRE Faculty Award (No. DST/INSPIRE/04/2015/000928) of the Department of Science and Technology, Government of India.
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Notes
- 1.
Uniform-price auction is a generalization of the second-price auction (or the Vickrey auction) to the scenario where \(N\ge 1\) identical commodities are auctioned for sale. The bidders (APs in our case) with the first-N least bid values are chosen as winners and are made a payment (rate allocated in our case) equal to the value of the \((N+1)\)th least bid. For uniform-price auctions, it is known that truthful bidding is a weakly dominant strategy.
- 2.
Expression (4) implies that for any AP-\(k\notin \mathscr {M}_L\), we must have \(b_k=X\). Thus, X being the next-least bid value, all the remaining APs are in \(\mathscr {I}_{L+1}\).
- 3.
Random variables \(\widetilde{R}_1,\widetilde{R}_2,\ldots ,\widetilde{R}_m\) denote the rates (of exactly m APs) that lie in the interval \((R_k,C)\); hence, their p.d.f \(\widetilde{f}(\cdot )\) is derived by truncating the unconditional p.d.f \(f(\cdot )\).
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Kolar Purushothama, N. (2019). Coexistence of LTE-Unlicensed and WiFi with Optimal Channel Aggregation. In: Walrand, J., Zhu, Q., Hayel, Y., Jimenez, T. (eds) Network Games, Control, and Optimization. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10880-9_3
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