High Resolution Estimation of AoA, AoD and TdoA from MIMO Channel Sounding Measurements with Virtual Antenna Arrays: Maximum-Likelihood vs. Unitary Tensor-ESPRIT

Stephan Haefner, Reiner Thomä


Estimating the parameters of a geometric propagation model from MIMO channel sounding measurements will be considered, which requires the solution of an inverse problem. Thus, a model of the measured data is derived, which incorporates a model of the measurement system as well as the parameters of interest. Based on the data model a maximum-likelihood estimator will be derived to infer the model parameters. Because virtual antenna arrays are considerer, formed by step-wise rotating directive antennas at transmitter and receiver side, the MIMO measurements are conducted in the beam-space. Hence, the data model can be described by a multidimensional convolution of the measurement system and the propagation channel. Based on the convolutional modelling, the parameter estimation problem is transformed into a harmonic retrieval problem, which can be solved by an Unitary Tensor-ESPRIT algorithm. The maximum-likelihood and ESPRIT estimator are compared by Monte-Carlo simulations according to their root-mean-square estimation error.

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R. Thomä, M. Landmann, A. Richter, and U. Trautwein, “Multidimensional High-Resolution Channel Sounding Measurement,” in Smart Antennas - State of the Art, ser. EURASIP Book Series on Signal Processing and Communications. Hindawi, 2005, vol. 3.

M. Steinbauer, A. Molisch, and E. Bonek, “The Double-Directional Radio Channel,” IEEE Antennas and Propagation Magazine, vol. 43, no. 4, pp. 51–63, Aug 2001.

S. Häfner, D. A. Dupleich, R. Müller et al., “Characterisation of Channel Measurements at 70GHz in Indoor Femtocells,” in 81st IEEE Vehicular Technology Conference (VTC Spring), May 2015, pp. 1–5.

D. Dupleich, S. Häfner, C. Schneider et al., “Double-directional and dual-polarimetric indoor measurements at 70 GHz,” in 26th IEEE Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), Aug 2015, pp. 2234–2238.

A. Richter and R. S. Thomä, “CUBA-ESPRIT for Angle Estimation with Circular Uniform Beam Arrays,” in Millennium Conference on Antennas & Propagation, April 2000.

M. Haardt, R. Thomä, and A. Richter, “Multidimensional High-Resolution Parameter Estimation with Applications to Channel Sounding,” in High-Resolution and Robust Signal Processing. Marcel Dekker, Inc., 2004.

J. Liang, M. D. Kim, J. Lee et al., “Comparison of SAGE and BBF for Multipath Angular and Delay Spread Characteristics with 28GHz Channel Measurements,” in IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications (APWC), Sept 2016.

H. A. Nguyen, K. Mahler, M. Peter et al., “Estimation of DoA Based on Large-scale Virtual Array Data,” in 10th European Conference on Antennas and Propagation (EuCAP), April 2016, pp. 1–4.

Y. Ji, X. Yin, H. Wang et al., “Antenna-De-embedded Characterization for 13-17 GHz Wave Propagation in Indoor Environments,” IEEE Antennas and Wireless Propagation Letters, vol. PP, no. 99, 2016.

X. Lu, R. Zhang, Y. Zhou et al., “Convolutional Modeling and Antenna De-Embedding for Wideband Spatial mmWave Channel Measurement,” in IEEE Wireless Communications and Networking Conference (WCNC), March 2017.

F. Zhang, W. Fan, and G. F. Pedersen, “Frequency-Invariant Uniform Circular Array for Wideband mm-Wave Channel Characterization,” IEEE Antennas and Wireless Propagation Letters, vol. 16, 2017.

R. Boyer, “Decoupled root-MUSIC algorithm for Multidimensional Harmonic retrieval,” in 9th IEEE Workshop on Signal Processing Advances in Wireless Communications, July 2008, pp. 16–20.

M. Pesavento, C. F. Mecklenbräuker, and J. F. Böhme, “Multidimensional Rank Reduction Estimator for Parametric MIMO Channel Models,” EURASIP Journal on Advances in Signal Processing, vol. 2004, no. 9, p. 839148, Aug 2004.

J. P. C. L. da Costa, F. Roemer, M. Weis, and M. Haardt, “Robust R-D Parameter Estimation via Closed-Form PARAFAC,” in 14th International ITG Workshop on Smart Antennas (WSA), Feb 2010, pp. 99–106.

M. Haardt, F. Roemer, and G. D. Galdo, “Higher-Order SVD-Based Subspace Estimation to Improve the Parameter Estimation Accuracy in Multidimensional Harmonic Retrieval Problems,” IEEE Transactions on Signal Processing, vol. 56, no. 7, pp. 3198–3213, July 2008.

F. Roemer, M. Haardt, and G. D. Galdo, “Analytical Performance Assessment of Multi-Dimensional Matrix- and Tensor-Based ESPRIT Type Algorithms,” IEEE Transactions on Signal Processing, vol. 62, no. 10, pp. 2611–2625, May 2014.

R. Thomä, M. Landmann, G. Sommerkorn et al., “Multidimensional High-Resolution Channel Sounding in Mobile Radio,” in 21st IEEE Instrumentation and Measurement Technology Conference (IMTC), vol. 1, May 2004, pp. 257–262.

P. Eggers, “Super resolution and deconvolution of angular power spectra,” in 8th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), vol. 3, Sep 1997, pp. 801–805.

P. Schreier and L. Scharf, Statistical Signal Processing of Complex-Valued Data: The Theory of Improper and Noncircular Signals. Cambridge University Press, 2010.

L. D. Lathauwer, B. D. Moor, and J. Vandewalle, “A multilinear Singular Value Decomposition,” SIAM J. Matrix Anal. Appl, vol. 21, 2000.

H. L. Van Trees, Optimum Array Processing - Detection, Estimation, and Modulation Theory. New York: John Wiley & Sons, 2004.

S. Häfner, S. Röding, G. Sommerkorn et al., “Contribution to Drone Detection by Exploiting Parameter Estimation for a Prototype mm-Wave Radar System,” in 22th International ITG Workshop on Smart Antennas, March 2018.

M. Landmann, M. Käske, and R. Thomä, “Impact of Incomplete and Inaccurate Data Models on High Resolution Parameter Estimation in Multidimensional Channel Sounding,” IEEE Transactions on Antennas and Propagation, vol. 60, no. 2, pp. 557–573, Feb 2012.

S. Häfner, M. Käske, R. S. Thomä et al., “Selection of Antenna Array Configuration for Polarimetric Direction Finding in Correlated Signal Environments,” in 19th International ITG Workshop on Smart Antennas, Mar 2015, pp. 1–8.

K. B. Petersen and M. S. Pedersen, The Matrix Cookbook, 20121115th ed. Technical University of Denmark, Nov 2012.

[Online]. Available: http://www2.imm.dtu.dk/pubdb/p.php?3274

S. Häfner, R. Müller, and R. S. Thomä, “Full 3D Antenna Pattern Interpolation Using Fourier Transform Based Wavefield Modelling,” in 20th International ITG Workshop on Smart Antennas, March 2016.

M. I. Skolnik, Radar Handbook, 2nd ed. New York: McGraw Hill, 1990.

DOI: http://dx.doi.org/10.11601/ijates.v7i2.254


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