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Title: | Efficiently and globally solving joint beamforming and compression problem in the cooperative cellular network via Lagrangian duality | Authors: | Fan, X Liu, YF Liu, L |
Issue Date: | 2022 | Source: | IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2022, Singapore, Singapore, 23-27 May 2022, p. 5388-5392 | Abstract: | Consider the joint beamforming and quantization problem in the cooperative cellular network, where multiple relay-like base stations (BSs) connected to the central processor (CP) via rate-limited fronthaul links cooperatively serve the users. This problem can be formulated as the minimization of the total transmit power, subject to all users' signal-to-interference-plus-noise-ratio (SINR) constraints and all relay-like BSs' fronthaul rate constraints. In this paper, we first show that there is no duality gap between the considered problem and its Lagrangian dual by showing the tightness of the semidefinite relaxation (SDR) of the considered problem. Then we propose an efficient algorithm based on Lagrangian duality for solving the considered problem. The proposed algorithm judiciously exploits the special structure of the Karush-Kuhn-Tucker (KKT) conditions of the considered problem and finds the solution that satisfies the KKT conditions via two fixed-point iterations. The proposed algorithm is highly efficient (as evaluating the functions in both fixed-point iterations are computationally cheap) and is guaranteed to find the global solution of the problem. Simulation results show the efficiency and the correctness of the proposed algorithm. | Keywords: | Cooperative cellular network Fixed-point iteration KKT condition Lagrangian duality Tightness of SDR |
Publisher: | IEEE | ISBN: | 9781665405409 | DOI: | 10.1109/ICASSP43922.2022.9746455 | Rights: | © 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The following publication X. Fan, Y. -F. Liu and L. Liu, "Efficiently and Globally Solving Joint Beamforming and Compression Problem in the Cooperative Cellular Network Via Lagrangian Duality," ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2022, pp. 5388-5392 is available at https://dx.doi.org/10.1109/ICASSP43922.2022.9746455. |
Appears in Collections: | Conference Paper |
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