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Öğe A branch-cut-and-price algorithm for optimal decoding in digital communication systems(Springer, 2021) Kabakulak, Banu; Taskin, Z. Caner; Pusane, Ali EmreChannel coding aims to minimize the errors that occur during the transmission of digital information from one place to another. Low-density parity-check codes can detect and correct transmission errors if one encodes the original information by adding redundant bits. In practice, heuristic iterative decoding algorithms are used to decode the received vector. However, these algorithms may fail to decode if the received vector contains multiple errors. We consider decoding the received vector with minimum error as an integer programming (IP) problem and propose a branch-and-price method for its solution. We improve the performance of our method by introducing heuristic feasible solutions and adding valid cuts to the mathematical formulation. Our computational experiments reveal that our branch-cut-and-price algorithm significantly improves solvability of the problem compared to a state-of-the-art IP decoder in the literature and has superior error performance than the conventional sum-product algorithm.Öğe Network Coding Applications in Molecular Communication(IEEE, 2015) Akdeniz, Bayram Cevdet; Tepekule, Burcu; Pusane, Ali Emre; Tugcu, TunaMajor problems in diffusion based molecular communication are Inter Symbol Interference (ISI), low data rates and limited range of communication. Keeping symbol duration as long as possible leads to avoid ISI may be a solution, but this leads to even further reduced data rates. In order to cope with limited range of communication, using relays is one of the major solution. Relay amplifies the data coming to it and conveys it to target. Network coding is a concept that uses relays not only as a conveyor but also as an encoder to increase spectral efficiency. In this paper enhancements of the diffusion based molecular communication systems is observed using Network Coding. Using the proposed method, two nanomachines that are so far from each other are able to communicate with tolerable ISI and higher data rates