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Main Authors: Zeng, Yi, Han, Mingguang, Li, Xiaoguang, Li, Tiejun
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.06082
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author Zeng, Yi
Han, Mingguang
Li, Xiaoguang
Li, Tiejun
author_facet Zeng, Yi
Han, Mingguang
Li, Xiaoguang
Li, Tiejun
contents Channel estimation and extrapolation are fundamental issues in MIMO communication systems. In this paper, we proposed the quasi-Newton orthogonal matching pursuit (QNOMP) approach to overcome these issues with high efficiency while maintaining accuracy. The algorithm consists of two stages on the super-resolution recovery: we first performed a cheap on-grid OMP estimation of channel parameters in the sparsity domain (e.g., delay or angle), then an off-grid optimization to achieve the super-resolution. In the off-grid stage, we employed the BFGS quasi-Newton method to jointly estimate the parameters through a multipath model, which improved the speed and accuracy significantly. Furthermore, we derived the optimal extrapolated solution in the linear minimum mean squared estimator criterion, revealed its connection with Slepian basis, and presented a practical algorithm to realize the extrapolation based on the QNOMP results. Special treatment utilizing the block sparsity nature of the considered channels was also proposed. Numerical experiments on the simulated models and CDL-C channels demonstrated the high performance and low computational complexity of QNOMP.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06082
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quasi-Newton OMP Approach for Super-Resolution Channel Estimation and Extrapolation
Zeng, Yi
Han, Mingguang
Li, Xiaoguang
Li, Tiejun
Signal Processing
Channel estimation and extrapolation are fundamental issues in MIMO communication systems. In this paper, we proposed the quasi-Newton orthogonal matching pursuit (QNOMP) approach to overcome these issues with high efficiency while maintaining accuracy. The algorithm consists of two stages on the super-resolution recovery: we first performed a cheap on-grid OMP estimation of channel parameters in the sparsity domain (e.g., delay or angle), then an off-grid optimization to achieve the super-resolution. In the off-grid stage, we employed the BFGS quasi-Newton method to jointly estimate the parameters through a multipath model, which improved the speed and accuracy significantly. Furthermore, we derived the optimal extrapolated solution in the linear minimum mean squared estimator criterion, revealed its connection with Slepian basis, and presented a practical algorithm to realize the extrapolation based on the QNOMP results. Special treatment utilizing the block sparsity nature of the considered channels was also proposed. Numerical experiments on the simulated models and CDL-C channels demonstrated the high performance and low computational complexity of QNOMP.
title Quasi-Newton OMP Approach for Super-Resolution Channel Estimation and Extrapolation
topic Signal Processing
url https://arxiv.org/abs/2411.06082