October 2024
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Wireless Personal Communications
Millimeter waves (mmWave) are the only viable solution that is practical to fulfil the enormous bandwidth requirement of the modern era communication systems. Accurate estimation of the wireless channels is necessary for mmWave based multiple input multiple output (MIMO) systems that use directional beamforming. Nevertheless, due to the short wavelengths, mmWave channels exhibit significant variability, which poses a major obstacle to their successful recovery within limited training durations traditionally, there are two conventional channel estimation methods have been used for the operation. One is by using the low rank property of channel matrix and the other is to exploit the sparsity of the channel matrix in angle domain. However, the conventional estimation approaches may have necessitated a high-dimensional channel matrix, so substantially augmenting the intricacy of the traditional channel estimation process. This study addresses the channel estimation problem of wideband mmWave MIMO system by utilizing both low rank and sparsity simultaneously. The fundamental concept of the proposed technique is to frame the channel estimation issue as a combined optimization problem that creates an objective function comprising of l1-norm and nuclear norm minimization problems. The joint optimization problem is tackled using the expanded version of alternating direction method of multipliers (ADMM) algorithm which takes the advantage of the low rank and sparseness of the channel matrix by using the relaxation technique of the variables. The simulation findings clearly illustrate the superiority of proposed approach in comparison to other benchmarks.