A CAPACITY OF MOBILE MIMO COMMUNICATION SYSTEM IN INHOMOGENEOUS MEDIUM
DOI:
https://doi.org/10.18522/2311-3103-2026-1-%25pKeywords:
Continuous inhomogeneous medium, moving radiation source, MIMO information transmission system, capacityAbstract
The propagation and reception of electromagnetic waves in a continuous, heterogeneous medium by mobile sources and receivers is considered. Based on ray theory, the calculation of signal transmission coefficients from the source to the receiver, depending on their positions in space and parameters of medium heterogeneity, is carried out. A set of transmission coefficients for multiple transmitting and receiving points constitute a matrix of MIMO channel coefficients for an information transmission system. Spectral analysis of channel coefficients, depending on motion parameters of transmitting and receiving points, has been performed. The difference in spectrum in homogeneous and heterogeneous media has been determined. The obtained spectra significantly differ from the classical Jakes spectrum, emphasizing the need to account for heterogeneous structure of medium in modeling of modern MIMO systems. Fluctuations in channel coefficients due to spatial heterogeneity of the medium have been investigated, as has the influence of the speed and direction of movement of the transmitter and receiver on the spectral properties of the channel. When moving in a heterogeneous continuous medium, the ergodic capacity of a MIMO information transmission system has been calculated. It has been demonstrated that the complex nature of the medium leads to an unstable distribution of amplitudes and phases for multipath signals, resulting in non-monotonic variations in bandwidth. Maximum capacity has been found to occur when the direction of movement coincides with that of the beam center. It has also been shown that when the velocity vector is orthogonal to the beam direction, the velocity magnitude has a negligible effect on channel properties. The findings of the study allow for a more accurate consideration of the physical characteristics of the environment and the dynamic behavior of sources, which is crucial for developing adaptive signal processing techniques and optimizing MIMO systems of the next generation. The provided dependencies can be utilized to enhance the reliability of data transmission and maximize the throughput in situations where the signal transmitter is mobile within an inhomogeneous and continuous environment
References
1. Kuhn V. Wireless Communications over MIMO Channels. Applications to CDMA and Multiple Anten-na Systems. Chichester: John Wiley & Sons, Ltd., 2006, 402 p.
2. Alcocer Ochoa A., Parra Michel R., Kontorovitch V.Ya. Geometrical Modeling of Wideband MIMO Channels, Computación y Sistemas, 2006, Vol. 9, No. 4, pp. 332-344.
3. Almers P., Bonek E., Burr A., et al. Survey of Channel and Radio Propagation Models for Wireless MIMO Systems, EURASIP Journal on Wireless Communications and Networking. 2007, Art. ID 19070, 19 p. DOI: 10.1155/2007/19070.
4. Parshin Yu., Grachev M. Modeling of the MIMO Communication System's Channel Matrix in Inhomo-geneous Continuums, Proceedings of the 26th International Conference on Digital Signal Processing and its Applications (DSPA). Moscow, Russian Federation, 2024, pp. 1-4.
5. Parshin Yu., Grachev M. Communication System’s Channel Capacity in Inhomogeneous Continuums with a Given Spatial Structure, Proceedings of the 13th Mediterranean Conference on Embedded Com-puting (MECO). Budva, Montenegro, 2024, pp. 1-5.
6. Parshin A., Parshin Yu. Investigation of Efficient Receiving of Ultra Low Power Signal for IoT Appli-cation, Proceedings of the 8th Mediterranean Conference on Embedded Computing (MECO). Budva, Montenegro, 2019, pp. 32-35.
7. Parshin A., Parshin Yu. Adaptive Filtering of Non-Gaussian Flicker Noise, Proceedings of the 9th Med-iterranean Conference on Embedded Computing (MECO). Budva, Montenegro, 2020, pp. 529-533.
8. Yuan S.S.A., He Z., Sun S., Chen X., Huang C., Sha W.E.I. Electromagnetic Effective-Degree-of-Freedom Limit of a MIMO System in 2-D Inhomogeneous Environment, Electronics, 2022, Vol. 11, No. 19, pp. 3232. DOI: 10.3390/electronics11193232.
9. Eden A. The Search for Christian Doppler. Wien: Springer-Verlag, 1992, 136 с. DOI: 10.1007/978-3-7091-6677-2.
10. Weichman P.B. Doppler Effects in Heterogeneous Media with Applications to Ocean Acoustic Model-ing, Physical Review E, 2005, Vol. 72, No. 6, Art. 066602. DOI: 10.1103/PhysRevE.72.066602.
11. Krylovich V.I. Nonstationary Doppler effect for waves propagating in nonhomogeneous media, Journal of Engineering Physics, 1982, Vol. 43, No. 4, pp. 1120-1125. DOI: 10.1007/BF00827778.
12. Glushchenko A., Glushchenko E. The Doppler Effect in Non-Reciprocal Media, European Research, 2017, No. 33. DOI: 10.20861/2410-2873-2017-33-003.
13. Gerlach C., Kromer A. Wave Propagation in Variable Media, Journal of Acoustic and Electromagnetic Studies, 2018, Vol. 41, No. 2, pp. 105-119.
14. Schaefer R., Thompson L., Berg J. Applications of Doppler Shift in Irregular Media, Applied Physics Reports, 2021, Vol. 54, No. 7, pp. 367-381.
15. Jakes W.C. (ed.). Microwave Mobile Communications. New York: Wiley-Interscience, 1974, 642 p.
16. Clarke R.H. A Statistical Theory of Mobile Radio Reception, Bell System Technical Journal, 1968, Vol. 47, No. 6, pp. 957-1000.
17. Sementsov D.I., Afanas'ev S.A., Sannikov D.G. Osnovy teorii rasprostraneniya elektromagnitnykh voln: ucheb. posobie [Fundamentals of electromagnetic wave propagation: textbook]. Ul'yanovsk: UlGU, 2012, 112 p.
18. Gavrilenko V.G., Yashnov V.A. Rasprostranenie elektromagnitnykh voln v neodnorodnoy plazme: ucheb. posobie [Electromagnetic wave propagation in inhomogeneous plasma: textbook]. Nizhniy Novgorod: Nizhegorodskiy gosuniversitet, 2015, 101 p.
19. Nikol'skiy V.V., Nikol'skaya T.I. Elektrodinamika i rasprostranenie radiovoln [Electrodynamics and radio wave propagation]. Moscow: Nauka, 1989, 560 p.
20. Gol'dshteyn L.D., Zernov N.V. Elektromagnitnye polya i volny [Electromagnetic fields and waves]. Moscow: Sovetskoe radio, 1971, 448 p.








