A novel 3D frequency domain SAGE algorithm with applications to parameter estimation in mmWave massive MIMO indoor channels

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Millimeter wave (mmWave) and massive multiple-input multiple-output (MIMO) wireless communication channels show some new characteristics different from conventional channels. In order to have an in-depth understanding of mmWave massive MIMO channels, we conduct channel measurements at 16, 28, and 38 GHz frequency bands using virtual large horizontal planar arrays in an indoor office environment. First, a three dimensional (3D) frequency domain (FD) parameter estimation algorithm extended from the space alternating generalized expectation-maximization (SAGE) algorithm is proposed and used to process the measurement data. Second, by dividing the large array into several sub-arrays and calculating power delay profiles (PDPs), power azimuth angle profiles (PAAPs), and power elevation angle profiles (PEAPs), we analyze the changes of delay, azimuth angle of arrival (AAoA), and elevation AoA (EAoA) over the large array. We find that the spatial cross-correlation functions (SCCFs) calculated along different directions of the planar array exhibit significant variations. Third, the comparison of the averaged PDPs (APDPs) at three different frequency bands shows that the attenuation increases when mmWave channels move to high frequency bands. Furthermore, SCCFs of channels at three frequency bands are also compared for two uniform linear arrays (ULAs). We draw conclusion that the correlation coefficients can be affected by not only measurement environments, but also the relative angle between transmitter (Tx) pointing direction and receiver (Rx) large array, and the operating frequency bands.

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  1. 1

    Ge X H, Chen J Q, Wang C X, et al. 5G green cellular networks considering power allocation schemes. Sci China Inf Sci, 2016, 59: 022308

  2. 2

    Wang C X, Haider F, Gao X Q, et al. Cellular architecture and key technologies for 5G wireless communication networks. IEEE Commun Mag, 2014, 52: 122–130

  3. 3

    Gustafson C, Haneda K, Wyne S, et al. On mmWave multipath clustering and channel modeling. IEEE Trans Antenn Propag, 2013, 62: 1445–1455

  4. 4

    Wu S B, Wang C X, Aggoune H, et al. A non-stationary 3D wideband twin-cluster model for 5G massive MIMO channels. IEEE J Sel Areas Commun, 2014, 32: 1207–1218

  5. 5

    Wang C X, Wu S B, Bai L, et al. Recent advances and future challenges for massive MIMO channel measurements and models. Sci China Inf Sci, 2016, 59: 021301

  6. 6

    Ayanoglu E, Heydari P, Capolino F. Millimeter-wave massive MIMO: the next wireless revolution? IEEE Commun Mag, 2014, 52: 56–62

  7. 7

    Fleury B H, Tschudin M, Heddergott R, et al. Channel parameter estimation in mobile radio environments using the SAGE algorithm. IEEE J Sel Areas Commun, 1999, 17: 434–450

  8. 8

    Fleury B H, Yin X, Rohbrandt K G, et al. Performance of a high-resolution scheme for joint estimation of delay and bidirection dispersion in the radio channel. In: Proceedings of IEEE Vehicular Technology Conference, Birmingham, 2002. 522–526

  9. 9

    Chong C C, Laurenson D I, Tan C M, et al. Joint detection-estimation of directional channel parameters using the 2-D frequency domain SAGE algorithm with serial interference cancellation. In: Proceedings of IEEE International Conference on Communications, New York, 2002. 906–910

  10. 10

    Matthaiou M, Laurenson D I, Razavi-Ghods N, et al. Characterization of an indoor MIMO channel in frequency domain using the 3D-SAGE algorithm. In: Proceedings of IEEE International Conference on Communications, Glasgow, 2007. 5868–5872

  11. 11

    Feng R, Huang J, Sun J, et al. Millimeter wave channel parameter estimation using a 3D frequency domain SAGE algorithm. In: Proceedings of 19th International Symposium on Wireless Personal Multimedia Communications, Shenzhen, 2016

  12. 12

    Gao X, Edfors O, Rusek F, et al. Massive MIMO performance evaluation based on measured propagation data. IEEE Trans Wirel Commun, 2015, 14: 3899–3911

  13. 13

    Payami S, Tufvesson F. Channel measurements and analysis for very large array systems at 2.6 GHz. In: Proceedings of 6th European Conference on Antennas and Propagation, Prague, 2012. 433–437

  14. 14

    Rappaport T S, Sun S, Mayzus R, et al. Millimeter wave mobile communications for 5G cellular: it will work! IEEE Access, 2013, 1: 335–349

  15. 15

    Huang J, Wang C X, Feng R, et al. Multi-frequency mmWave massive MIMO channel measurements and characteri- zation for 5G wireless communication systems. IEEE J Sel Areas Commun, 2017, 35: 1591–1605

  16. 16

    Fleury B H, Jourdan P, Stucki A. High-resolution channel parameter estimation for MIMO applications using the SAGE algorithm. In: Proceedings of IEEE Broadband Communications, Zurich, 2002. 30–1–30-9

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This work was supported by EU H2020 ITN 5G Wireless Project (Grant No. 641985), EU H2020 RISE TESTBED Project (Grant No. 734325), EU FP7 QUICK Project (Grant No. PIRSES-GA-2013-612652), EPSRC TOUCAN project (Grant No. EP/L020009/1), National Natural Science Foundation of China (Grant Nos. 61210002, 61371110), Xinwei Telecom Technology Inc. (Grant No. 11131701), and Fundamental Research Funds of Shandong University (Grant No. 2017JC009).

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Correspondence to Jian Sun.

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Feng, R., Huang, J., Sun, J. et al. A novel 3D frequency domain SAGE algorithm with applications to parameter estimation in mmWave massive MIMO indoor channels. Sci. China Inf. Sci. 60, 080305 (2017) doi:10.1007/s11432-017-9139-4

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  • millimeter wave bands
  • massive MIMO
  • 3D FD-SAGE algorithm
  • planar array
  • statistical properties