naa a22 4500 510792499 CHVBK 20180411083324.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11277-012-0991-x doi (NATIONALLICENCE)springer-10.1007/s11277-012-0991-x Convergence of Price-Based Resource Allocation Algorithms in Multicellular Multicarrier Systems [Elektronische Daten] [Mohammad Akbari, Vahid Vakili] Inter-cell interference mitigation is a key challenge in the heterogeneous wireless networks which are expected to use an aggressive frequency reuse factor and a high-density access point deployment to improve coverage and spectral efficiency. In this paper, the problem of resources allocation in multicell Orthogonal Frequency Division Multiple Access wireless system is considered with universal frequency reuse and target of Weighted Sum-Rate Maximization. We address multi cell modified iterative water filling as an iterative power allocation algorithm. Also, a new extension of fixed point implementation of Successive Convex Approximation for Low complExity (SCALE) algorithm to multicellular system [referred to as Multi Cell Fixed point SCALE (MCF-SCALE)] is presented and it has been shown both of them resulted to the same convergence point. It is also demonstrated that using Lagrangian multiplier instead of noise variance in Standard Yates framework (as has been used in some previous papers) is not a suitable method for proving convergence and all the previous results based on this pattern need to be revised. Finally, a new framework is presented for proving the convergence of MCF-SCALE algorithm based on Jacobi iterative algorithm. Moreover, some previous convergence criteria are shown to be interpreted as a special case of this condition. Springer Science+Business Media New York, 2013 OFDMA nationallicence Multicell resource allocation nationallicence Power control nationallicence Base station coordination nationallicence Convergence nationallicence Jacobi iteration nationallicence Akbari Mohammad Department of Electrical Engineering, Iran University of Science and Technology (IUST), 1684613114, Narmak, Tehran, Iran aut Vakili Vahid Department of Electrical Engineering, Iran University of Science and Technology (IUST), 1684613114, Narmak, Tehran, Iran aut Wireless Personal Communications Springer US; http://www.springer-ny.com 71/4(2013-08-01), 3069-3090 0929-6212 71:4<3069 2013 71 11277 https://doi.org/10.1007/s11277-012-0991-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11277-012-0991-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Akbari Mohammad Department of Electrical Engineering, Iran University of Science and Technology (IUST), 1684613114, Narmak, Tehran, Iran aut NATIONALLICENCE 700 1- Vakili Vahid Department of Electrical Engineering, Iran University of Science and Technology (IUST), 1684613114, Narmak, Tehran, Iran aut NATIONALLICENCE 773 0- Wireless Personal Communications Springer US; http://www.springer-ny.com 71/4(2013-08-01), 3069-3090 0929-6212 71:4<3069 2013 71 11277 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer