Abstract
At hybrid analog-digital (HAD) transceiver, an improved HAD estimation of signal parameters via rotational invariance techniques (ESPRIT), called I-HAD-ESPRIT, is proposed to measure the direction of arrival (DOA) of a desired user, where the phase ambiguity due to HAD structure is dealt with successfully. Subsequently, a machine-learning (ML) framework is proposed to improve the precision of measuring DOA. Meanwhile, we find that the probability density function (PDF) of DOA measurement error (DOAME) can be approximated as a Gaussian distribution by the histogram method in ML. Then, a slightly large training data set (TDS) and a relatively small real-time set (RTS) of DOA are formed to predict the mean and variance of DOA/DOAME in the training stage and real-time stage, respectively. To improve the precisions of DOA/DOAME, three weight combiners are proposed to combine the-maximum-likelihood-learning outputs of TDS and RTS. Using the mean and variance of DOA/DOAME, their PDFs can be given directly, and we propose a robust beamformer for directional modulation (DM) transmitter with HAD by fully exploiting the PDF of DOA/DOAME, especially a robust analog beamformer on RF chain. Simulation results show that: (1) the proposed I-HAD-ESPRIT can achieve the HAD Cramer-Rao lower bound (CRLB); (2) the proposed ML framework performs much better than the corresponding real-time one without training stage; (3) the proposed robust DM transmitter can perform better than the corresponding non-robust ones in terms of secrecy rate.
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References
Godara L C. Application of antenna arrays to mobile communications. II. Beam-forming and direction-of-arrival considerations. Proc IEEE, 1997, 85: 1195–1245
Chen J C, Yao K, Hudson R E. Source localization and beamforming. IEEE Signal Process Mag, 2002, 19: 30–39
Stoica P, Babu P, Li J. SPICE: a sparse covariance-based estimation method for array processing. IEEE Trans Signal Process, 2011, 59: 629–638
Zhang X F, Xu L Y, Xu L, et al. Direction of departure (DOD) and direction of arrival (DOA) estimation in MIMO radar with reduced-dimension MUSIC. IEEE Commun Lett, 2010, 14: 1161–1163
Shafin R, Liu L J, Zhang J Z, et al. DoA estimation and capacity analysis for 3-D millimeter wave massive-MIMO/FD-MIMO OFDM systems. IEEE Trans Wirel Commun, 2016, 15: 6963–6978
Wan L T, Han G J, Jiang J F, et al. DOA estimation for coherently distributed sources considering circular and noncircular signals in massive MIMO systems. IEEE Syst J, 2017, 11: 41–49
Huang H J, Yang J, Huang H, et al. Deep learning for super-resolution channel estimation and DOA estimation based massive MIMO system. IEEE Trans Veh Technol, 2018, 67: 8549–8560
Tuncer T E, Friedlander B. Classical and Modern Direction-of-Arrival Estimation. New York: Elsevier, 2009
Capon J. High-resolution frequency-wavenumber spectrum analysis. Proc IEEE, 1969, 57: 1408–1418
Bartlett M S. An Introduction to Stochastic Processes with Special References to Methods and Applications. New York: Cambridge University Press, 1961
Schmidt R. Multiple emitter location and signal parameter estimation. IEEE Trans Antenna Propag, 1986, 34: 276–280
Roy R, Kailath T. ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans Acoust Speech Signal Process, 1989, 37: 984–995
Malioutov D, Cetin M, Willsky A S. A sparse signal reconstruction perspective for source localization with sensor arrays. IEEE Trans Signal Process, 2005, 53: 3010–3022
Hyder M M, Mahata K. Direction-of-arrival estimation using a mixed ℓ2,0 norm approximation. IEEE Trans Signal Process, 2010, 58: 4646–4655
Li Q L, Zhang X L, Li H. Online direction of arrival estimation based on deep learning. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2018
Chakrabarty S, Habets E A P. Broadband DOA estimation using convolutional neural networks trained with noise signals. In: Proceedings of IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA), 2017
Shu F, Qin Y L, Liu T T, et al. Low-complexity and high-resolution DOA estimation for hybrid analog and digital massive MIMO receive array. IEEE Trans Commun, 2018, 66: 2487–2501
Sidiropoulos N D, Bro R, Giannakis G B. Parallel factor analysis in sensor array processing. IEEE Trans Signal Process, 2000, 48: 2377–2388
Wang H M, Zheng T X, Yuan J, et al. Physical layer security in heterogeneous cellular networks. IEEE Trans Commun, 2016, 64: 1204–1219
Chen X M, Ng D W K, Gerstacker W H, et al. A survey on multiple-antenna techniques for physical layer security. IEEE Commun Surv Tut, 2017, 19: 1027–1053
Babakhani A, Rutledge D B, Hajimiri A. Transmitter architectures based on near-field direct antenna modulation. IEEE J Solid-State Circ, 2008, 43: 2674–2692
Daly M P, Bernhard J T. Directional modulation technique for phased arrays. IEEE Trans Antenna Propag, 2009, 57: 2633–2640
Tennant A, Shi H Z. Enhancing the security of communication via directly modulated antenna arrays. IET Microw Antenna Propag, 2013, 7: 606–611
Ding Y, Fusco V F. A vector approach for the analysis and synthesis of directional modulation transmitters. IEEE Trans Antenna Propag, 2014, 62: 361–370
Hu J S, Shu F, Li J. Robust synthesis method for secure directional modulation with imperfect direction angle. IEEE Commun Lett, 2016, 20: 1084–1087
Shu F, Wu X M, Li J, et al. Robust synthesis scheme for secure multi-beam directional modulation in broadcasting systems. IEEE Access, 2016, 4: 6614–6623
Shu F, Zhu W, Zhou X W, et al. Robust secure transmission of using main-lobe-integration-based leakage beamforming in directional modulation MU-MIMO systems. IEEE Syst J, 2018, 12: 3775–3785
Zhu W, Shu F, Liu T T, et al. Secure precise transmission with multi-relay-aided directional modulation. In: Proceedings of the 9th International Conference on Wireless Communications and Signal Processing (WCSP), 2017
Zhou X B, Li J, Shu F, et al. Secure swipt for directional modulation aided af relaying networks. 2018. ArXiv:1803.05278
Hu J S, Yan S H, Shu F, et al. Artificial-noise-aided secure transmission with directional modulation based on random frequency diverse arrays. IEEE Access, 2017, 5: 1658–1667
Shu F, Wu X M, Hu J S, et al. Secure and precise wireless transmission for random-subcarrier-selection-based directional modulation transmit antenna array. IEEE J Sel Areas Commun, 2018, 36: 890–904
Zhang X Y, Molisch A F, Kung S Y. Variable-phase-shift-based RF-baseband codesign for MIMO antenna selection. IEEE Trans Signal Process, 2005, 53: 4091–4103
Sohrabi F, Yu W. Hybrid analog and digital beamforming for mmWave OFDM large-scale antenna arrays. IEEE J Sel Areas Commun, 2017, 35: 1432–1443
Sohrabi F, Yu W. Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE J Sel Top Signal Process, 2016, 10: 501–513
Yu X H, Shen J C, Zhang J, et al. Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE J Sel Top Signal Process, 2016, 10: 485–500
Gao X Y, Dai L L, Han S F, et al. Energy-efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays. IEEE J Sel Areas Commun, 2016, 34: 998–1009
Ramadan Y R, Minn H, Ibrahim A S. Hybrid analog-digital precoding design for secrecy mmWave MISO-OFDM systems. IEEE Trans Commun, 2017, 65: 5009–5026
Heath R W, Gonzalez-Prelcic N, Rangan S, et al. An overview of signal processing techniques for millimeter wave MIMO systems. IEEE J Sel Top Signal Process, 2016, 10: 436–453
Horn R A, Johnson C R. Pattern Recognition and Machine Learning. Berlin: Springer, 2013
Shu F, Wan S M, Yan S H, et al. Secure directional modulation to enhance physical layer security in IoT networks. 2018. ArXiv:1712.02104
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This work was supported in part by National Natural Science Foundation of China (Nos. 61771244, 61871229).
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Zhuang, Z., Xu, L., Li, J. et al. Machine-learning-based high-resolution DOA measurement and robust directional modulation for hybrid analog-digital massive MIMO transceiver. Sci. China Inf. Sci. 63, 180302 (2020). https://doi.org/10.1007/s11432-019-2921-x
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DOI: https://doi.org/10.1007/s11432-019-2921-x