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Detection Algorithm of Compressed Sensing Signal in Generalized Spatial Modulation System

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Abstract

For the generalized spatial modulation in the underdetermined system with the number of transmitting antennas larger than the number of receiving antennas, the activation of the antenna is small and inaccurate. The traditional MMSE algorithm and the ZF algorithm still perform the pseudo-inverse operation on the entire channel matrix, which results in a large number of redundancy. Although the ML algorithm has the best detection performance, the complexity is difficult to meet the actual requirements. In this paper, for the sparse characteristics of generalized spatial modulation signals, a detection algorithm is improved based on the compressed sensing recovery algorithm SWOMP. The algorithm first selects multiple or one active antenna sequences conforming to the spatial modulation to form an index set according to the situation, and then uses the backtracking principle to select the atomic column according to the threshold, rejects the unreliable sequence, and finally uses the minimum mean square error algorithm to detect the modulation symbol according to the activated antenna index. The pseudo-inverse operation of the entire channel matrix is avoided, and the bit error rate is lower than the ZF algorithm, the MMSE algorithm and the OMP algorithm, and the performance of the proposed algorithm is closer to the ML algorithm, which is a better way that balance between complexity and detection performance.

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Acknowledgements

This work supported by the Provincial Natural Science Foundation of Heilongjiang (Grant Nos. F2015019); Harbin Science and Technology Bureau Youth Backbone Fund Project (Grant Nos. 2013RFQX107); Basic scientific research business fee project of provincial universities in Heilongjiang Province (Grant Nos. Hkdqg201806).

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Authors and Affiliations

  1. Heilongjiang university of science and technology, Harbin, 150000, China

    Xiaolin Jiang, Zhengyu Tang & Susu Qu

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  1. Xiaolin Jiang
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  2. Zhengyu Tang
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  3. Susu Qu
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Contributions

Tang zhengyu designed and carried out algorith, analyzed data, and wrote the manuscript. Jiang xiaolin made the theoretical guidance for this article. Qu susu carried out experiment on the MATLAB platform. All authors reviewed the manuscript.

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Correspondence to Zhengyu Tang.

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Jiang, X., Tang, Z. & Qu, S. Detection Algorithm of Compressed Sensing Signal in Generalized Spatial Modulation System. Mobile Netw Appl 28, 551–560 (2023). https://doi.org/10.1007/s11036-020-01602-7

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  • DOI: https://doi.org/10.1007/s11036-020-01602-7

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