O.A. Shmonin1, V.V. Kuptsov2, S.N. Trushkov3, K.A. Ponur4
1-4 Lobachevsky State University (Nizhny Novgorod, Russia)
1 olgsh6@yandex.ru; 2 vitaliy.kuptsov.nn@yandex.ru; 3 trushkovsn@gmail.com; 4 ponur0kirill@gmail.com
The article is dedicated to the angle position estimation of multiple signal sources. One of the most effective technique in this field is Multiple Signal Classification that is widely known as MUSIC. However, this technique cannot be applied directly to hybrid analog-digital antenna arrays (including the phased antenna arrays) that have been actively developing recently and widely using in the fifth-generation wireless communication systems and radars. Meanwhile, the existing approaches to MUSIC application in such systems either demand ideal periodic signal or have excessively high computational complexity.
The goal of this work is the development of the effective and computational simple approach to the application of MUSIC technique in the phased antenna array for direction of arrival estimation of the random signals.
The keystone of the MUSIC algorithm is the antenna array covariance matrix that allows one to single out complimentary signal and noise vector subspaces. However, this matrix cannot be estimated directly in the phased antenna array. The proposed method is based on the Toeplitz form of the antenna array covariance matrix in the case of incoherent (uncorrelated) sources. In this case the whole covariance matrix is determined by its first row (covariance vector). It is proved that covariance vector can be calculated from the discrete spatial power spectrum via discrete Fourier transform. Meanwhile, the discrete spatial power spectrum is estimated via power measurements for the finite number of antenna array beams. Thus, this spectrum is evaluated via conventional beam scanning procedure. It is showed that the covariance matrix can be recovered accurately if the number of the discrete spectrum points (the number of used beams) at least twice more than the number of antenna elements.
The performance of the proposed technique is investigated via numerical simulations in comparison with competitors. The results shows that the proposed approach provides super resolution and allows one to effectively estimate angular positions of multiple signal sources. The estimate accuracy provided by the proposed technique is similar to the one of the more complex alternative approach that also does not depend on the waveform. Meanwhile, there is some accuracy loss relatively a periodic-signal-based technique and the digital-array MUSIC that is treated as the cost of waveform independency and phased array application.
The devised technique can be applied in radar and fifth-generation wireless communication system to estimate channel state in the millimeter wave band.
Shmonin O.A., Kuptsov V.V., Trushkov S.N., Ponur K.A. Application of MUSIC super-resolution technique in the phased antenna array for directions of arrival estimation of random signals. Radiotekhnika. 2024. V. 88. № 12. P. 89−102. DOI: https://doi.org/10.18127/j00338486-202412-07 (In Russian)
- Uwaechia N., Mahyuddin N.M. A comprehensive survey on millimeter wave communications for fifth-generation wireless networks: feasibility and challenges. IEEE Access. 2020. V. 8. P. 62367-62414.
- Liu F., Masouros C., Petropulu A.P., Griffiths H., Hanzo L. Joint radar and communication design: applications, state-of-the-art, and the road ahead. IEEE Transactions on Communications. 2020. V. 68. № 6. P. 3834-3862.
- Zhang R., Shim B., Wu W. Direction-of-arrival estimation for large antenna arrays with hybrid analog and digital architectures. IEEE Transactions on Signal Processing. 2022. V. 70. P. 72-88.
- Ermolaev V.T., Semenov V.Ju., Flaksman A.G., Artjuhin I.V., Shmonin O.A. Dvumernaja pelengacija so sverhrazresheniem v avtomobil'nom MIMO radare v uslovijah korrelirovannosti celej. Jelektrosvjaz'. 2022. № 8. S. 45-52 (in Russian).
- Kutuzov N.A., Rodionov A.A., Stulenkov A.V. Localization of multiple vibration sources using a modified MUSIC algorithm. Physics of Wave Phenomena. 2024. V. 32. № 1. С. 56-66.
- Ratynskij M.V. Adaptacija i sverhrazreshenie v antennyh reshetkah. M.: Radio i svjaz'. 2004. 199 s. (in Russian).
- Tuncer E., Friedlander B. Classical and modern direction-of-arrival estimation. Burlington: Elsevier. 2009. 430 p.
- Ermolayev V.T., Flaksman A.G., Elokhin A.V., Shmonin O.A. An experimental study of the angular superresolution of two correlated signals using the minimum-polynomial method. Radiophysics and Quantum Electronics. 2019. V. 61. № 11. P. 841-852.
- Schmidt R. Multiple emitter location and signal parameter estimation. IEEE Transactions on Antennas and Propagation. 1986. V. 34. № 3. P. 276-280.
- Dahlman E., Parkvall S., Skold J. 5G NR: The Next Generation Wireless Access Technology. London: Academic Press. 2018. 441 p.
- Li S., Liu Y., You L., Wang W., Duan H., Li X. Covariance matrix reconstruction for DOA estimation in hybrid massive MIMO systems. IEEE Wireless Commun. Lett. 2020. V. 9. № 8. P. 1196-1200.
- Plapous C., Cheng J., Taillefer E., Hirata A., Ohira T. Reactance domain MUSIC algorithm for electronically steerable parasitic array radiator. IEEE Trans. Antennas Propag. 2004. V. 52. № 12. P. 3257-3264.
- Sun C., Karmakar N. Direction of arrival estimation based on a single port smart antenna using MUSIC algorithm with periodic signals. Int. J. Signal Process. 2004. V. 1. P. 153-162.
- Taillefer E., Nomura W., Cheng J., Taromaru M., Watanabe Y., Ohira T. Enhanced reactance-domain ESPRIT algorithm employing multiple beams and translational-invariance soft selection for direction-of-arrival estimation in the full azimuth. IEEE Trans. Antennas Propag. 2008. V. 56. № 8. P. 2514-2526.
- Li X., Fang J., Duan H., Chen Z., Li H. Fast beam alignment for millimeter wave communications: a sparse encoding and phaseless decoding approach. IEEE Trans. Signal Process. 2019. V. 67. № 17. P. 4402-4417.
- Hu C., Wang X., Dai L., Ma J. Partially coherent compressive phase retrieval for millimeter-wave massive MIMO channel estimation. IEEE Trans. Signal Process. 2020. V. 68. P. 1673-1687.
- Artyukhin I., Ermolaev V., Flaksman A., Rubtsov A., Shmonin O. Development of effective anti-interference primary signal processing for mmWave automotive radar. 2019 Int. Conf. on Eng. And Telecommun. (EnT). Dolgoprudny. 2019. P. 1-5.
- Tihonov V.I. Statisticheskaja radiotehnika. Izd. 2-e, pererab. i dop. M.: Radio i svjaz'. 1982. 624 s. (in Russian).
- Golub G.H., Loan C.F.V. Matrix computations. 3th ed. London: The Johns Hopkins University Press. 1996. 694 p.
- Johnson S.G., Frigo M. A modified split-radix FFT with fewer arithmetic operations. IEEE Transactions on Signal Processing. 2007. V. 55. № 1. P. 111-119.
- Welch L. Lower bounds on the maximum cross correlation of signals (Corresp.). IEEE Transactions on Information Theory. 1974. V. 20. № 3. P. 397-399.
- Davydenko A.S., Popov E.N., Cikin I.A. Pelengacija vysokodinamichnyh ob’ektov na osnove metoda MUSIC pri ispol'zovanii antennyh reshetok s malym chislom jelementov. Radiotehnika. 2020. T. 84. № 12(24). S. 5−16. DOI: 10.18127/j00338486-202012(24)-01.