Data Transmission Over Linear Time-Varying Channels

Kaplan, Alihan; Pohl, Volker; Lee, Dae Gwan

doi:10.1109/tsp.2022.3183352

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2024

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Cited by 4 publications

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“…Sparse of the blind system identification problem 41 for linear time‐varying systems is investigated. In linear time‐varying systems channels, 42 sparse data transmission and signal are investigated. Therefore, it is necessary to extend sparse control from time‐invariant systems to linear time‐varying systems.…”

Section: Introductionmentioning

confidence: 99%

Some mathematical characteristics in sparse control for linear time‐varying systems

Mai,

Yin

2024

Intl J Robust & Nonlinear

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SummaryThe existence, solution structure, and equivalence of sparse control for linear time‐varying systems are investigated. We proved the existence of the optimal solution of sparse control for the linear time‐varying systems. By using the non‐smooth maximum principle, we are given the necessary conditions for the sparse control optimality for linear time‐varying systems. We proved that the optimal solution of sparse control taking values of and 0. Under the normality of the linear time‐varying systems, we proved an equivalence theorem between the sparse control and optimal control. Numerical examples are included to illustrate the effectiveness of the sparse control for linear time‐varying systems.

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Section: Introductionmentioning

confidence: 99%