Approximate message passing algorithms for low complexity OFDM-IM detection

Low complexity approximate message passing (AMP) orthogonal frequency division multiplexing combined with index modulation (OFDM-IM) detection algorithms are proposed, which exploit the sparse structure of the frequency domain (FD) OFDM-IM symbols. To circumvent the high root mean square error (RMSE) in the conventional AMP algorithm, a minimum mean square error (MMSE) denoiser is proposed based on the classic Bayesian approach and on the state evolution of AMP. Our simulation results demonstrate that it is capable of improving both the RMSE as well as the convergence rate. However, in practice, the channel's diagonal FD matrix may be a non-Gaussian sensing matrix, hence a damping strategy is conceived. In conclusion, the proposed MMSE denoiser based damping-assisted AMP-aided detector strikes a compelling bit error ratio vs. complexity trade-off.

approximate message passing, compressed sensing (CS), index modulation (IM), MMSE, OFDM

10.1109/TVT.2021.3101894

0018-9545

9607-9612

Sui, Zeping

8f7f0ffc-1264-44b2-bdd5-1a47b119e78a

Yan, Shefeng

9d4ebf69-539c-450f-913f-6bb9d96bdf60

Zhang, Hongming

ebd930db-9cd8-43ff-8b73-92c1d7f0108b

Yang, Lie Liang

ae425648-d9a3-4b7d-8abd-b3cfea375bc7

Hanzo, Lajos

66e7266f-3066-4fc0-8391-e000acce71a1

Sui, Zeping

8f7f0ffc-1264-44b2-bdd5-1a47b119e78a

Yan, Shefeng

9d4ebf69-539c-450f-913f-6bb9d96bdf60

Zhang, Hongming

ebd930db-9cd8-43ff-8b73-92c1d7f0108b

Yang, Lie Liang

ae425648-d9a3-4b7d-8abd-b3cfea375bc7

Hanzo, Lajos

66e7266f-3066-4fc0-8391-e000acce71a1

Sui, Zeping, Yan, Shefeng, Zhang, Hongming, Yang, Lie Liang and Hanzo, Lajos (2021) Approximate message passing algorithms for low complexity OFDM-IM detection. IEEE Transactions on Vehicular Technology, 70 (9), 9607-9612. (doi:10.1109/TVT.2021.3101894).

Record type: Article

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Accepted/In Press date: 30 July 2021

e-pub ahead of print date: 4 August 2021

Additional Information: Funding Information: Manuscript received June 8, 2021; revised July 15, 2021; accepted July 30, 2021. Date of publication August 4, 2021; date of current version September 17, 2021. This work was supported in part by the National Science Foundation of China under Grants 61725106 and 62001056, and in part by the China Scholarship Council under Grant 202004910653. The work of Lajos Hanzo was supported by the European Research Council’s Advanced Fellow Grant QuantCom under Grant 789028. The review of this article was coordinated by Prof. Jia-Chin Lin. (Corresponding author: Shefeng Yan.) Zeping Sui and Shefeng Yan are with the Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China, and also with the University of Chinese Academy of Sciences, Beijing 100049, China (e-mail: suizeping@mail.ioa.ac.cn; sfyan@ieee.org).

Keywords: approximate message passing, compressed sensing (CS), index modulation (IM), MMSE, OFDM

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