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Erschienen in: Peer-to-Peer Networking and Applications 2/2021

30.09.2020

Simulation models for mobile-to-mobile channels with isotropic and nonisotropic scattering

verfasst von: Yanwu Ding, Yazan Ibdah

Erschienen in: Peer-to-Peer Networking and Applications | Ausgabe 2/2021

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Abstract

Recent radio channel measurements in peer-to-peer (P2P) and mobile-to-mobile network indicate that, depending on the mobility of the terminals and scattering properties of the environment, the predominate fading mechanism contains a combination of Rayleigh and double Rayleigh fading with or without line-of-sight (LoS) component. In this paper, we present the statistical and deterministic models by the sum-of-complex-sinusoids to simulate the channels in isotropic and non-isotropic scattering. The auto- and cross correlations of the in-phase, quadrature components, and squared envelopes of the channels are derived. Extensive Monte Carlo simulations are performed to validate the statistical properties of the proposed models. The time-average statistical properties and the corresponding variances are also investigated to justify that the models achieve satisfactory convergence performance.

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Literatur
1.
Zurück zum Zitat Rajandekar A, Sikdar B (2015) On the feasibility of using wifi white spaces for opportunistic M2M communications. commlett 4(6):681–684 Rajandekar A, Sikdar B (2015) On the feasibility of using wifi white spaces for opportunistic M2M communications. commlett 4(6):681–684
2.
Zurück zum Zitat Cheng X, Yang L, Shen X (2015) D2D for intelligent transportation systems: A feasibility study. IEEE Trans. Intell. Trans. Syst. 14(4):1784–1793CrossRef Cheng X, Yang L, Shen X (2015) D2D for intelligent transportation systems: A feasibility study. IEEE Trans. Intell. Trans. Syst. 14(4):1784–1793CrossRef
3.
Zurück zum Zitat Wang L, Wu H, Stüber GL (2017) Cooperative jamming-aided secrecy enhancement in P2P communications with social interaction constraints. Tvc 66(2):1144–1158 Wang L, Wu H, Stüber GL (2017) Cooperative jamming-aided secrecy enhancement in P2P communications with social interaction constraints. Tvc 66(2):1144–1158
4.
Zurück zum Zitat Vinogradov E, Joseph W, Oestges C (2015) Measurement-based modeling of time-variant fading statistics in indoor peer-to-peer scenarios. IEEE Trans. Antennas Propag. 63(5):2252–2263CrossRef Vinogradov E, Joseph W, Oestges C (2015) Measurement-based modeling of time-variant fading statistics in indoor peer-to-peer scenarios. IEEE Trans. Antennas Propag. 63(5):2252–2263CrossRef
5.
Zurück zum Zitat Oestges C, Czink N, Bandemer B, Castiglione P, Kaltenberger F, Paulraj AJ (2010) Experimental characterization and modeling of outdoor-to-indoor and indoor-to-indoor distributed channels. IEEE Trans. Veh. Technol. 59(5):2253–2265CrossRef Oestges C, Czink N, Bandemer B, Castiglione P, Kaltenberger F, Paulraj AJ (2010) Experimental characterization and modeling of outdoor-to-indoor and indoor-to-indoor distributed channels. IEEE Trans. Veh. Technol. 59(5):2253–2265CrossRef
6.
Zurück zum Zitat Koväcs I, Eggers P, Olesen K, Patersen L (2002) Investigations of outdoor-to-indoor mobile-to-mobile radio communication channels. In: Proc. IEEE Veh. Technol. Conf., Vancouver, Canada, 1, pp 430–434 Koväcs I, Eggers P, Olesen K, Patersen L (2002) Investigations of outdoor-to-indoor mobile-to-mobile radio communication channels. In: Proc. IEEE Veh. Technol. Conf., Vancouver, Canada, 1, pp 430–434
7.
Zurück zum Zitat Andersen JB (2002) Statistical distributions in mobile communications using multiple scattering. In: Proc. URSI Gen. Assem. of Int. Union of Radio Sci., Maastricht, Netherlands Andersen JB (2002) Statistical distributions in mobile communications using multiple scattering. In: Proc. URSI Gen. Assem. of Int. Union of Radio Sci., Maastricht, Netherlands
8.
Zurück zum Zitat Andersen JB, Koväcs IZ (2002) Power distributions revisited. In: Proc. COST273, Towards Mobile Broadband Multimedia Netw., Guildford, UK, TD (02)004 Andersen JB, Koväcs IZ (2002) Power distributions revisited. In: Proc. COST273, Towards Mobile Broadband Multimedia Netw., Guildford, UK, TD (02)004
9.
Zurück zum Zitat Pätzold M, Hogstad BO, Youssef N (2008) Modeling, analysis, and simulation of MIMO mobile-to-mobile fading channels. IEEE Trans. Wireless Commun. 7(2):510–520CrossRef Pätzold M, Hogstad BO, Youssef N (2008) Modeling, analysis, and simulation of MIMO mobile-to-mobile fading channels. IEEE Trans. Wireless Commun. 7(2):510–520CrossRef
10.
Zurück zum Zitat Matolak DW, Frolik J (2011) Worse-than-Rayleigh fading: Experimental results and theoretical models. IEEE Commun. Mag. 49(4):140–146CrossRef Matolak DW, Frolik J (2011) Worse-than-Rayleigh fading: Experimental results and theoretical models. IEEE Commun. Mag. 49(4):140–146CrossRef
11.
Zurück zum Zitat Sen I, Matolak DW (2008) Vehicle-vehicle channel models for the 5-GHz band. IEEE Tran. Intelligent Transport. Sys. 9(2):235–245CrossRef Sen I, Matolak DW (2008) Vehicle-vehicle channel models for the 5-GHz band. IEEE Tran. Intelligent Transport. Sys. 9(2):235–245CrossRef
12.
Zurück zum Zitat Maurer J, Fugen T, Olesen K, Wiesbeck W (2002) Narrowband measurement and analysis of the intervehicle transmission channel at 5.2 GHz. In: IEEE Veh. Technol. Conf, Birmingham, AL, 3, pp 1274–1278 Maurer J, Fugen T, Olesen K, Wiesbeck W (2002) Narrowband measurement and analysis of the intervehicle transmission channel at 5.2 GHz. In: IEEE Veh. Technol. Conf, Birmingham, AL, 3, pp 1274–1278
13.
Zurück zum Zitat Jaime-Rodriguez JJ, Gutierrez CA, Patzold M, Borhani A (2017) On the spectral moments of non-WSSUS mobile-to mobile double-Rayleigh fading channels. In: Proc. IEEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), pp 1–6 Jaime-Rodriguez JJ, Gutierrez CA, Patzold M, Borhani A (2017) On the spectral moments of non-WSSUS mobile-to mobile double-Rayleigh fading channels. In: Proc. IEEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC), pp 1–6
14.
Zurück zum Zitat Makhoul G, Mani F, D’Errico R, Oestges C (2017) Doppler characteristics for indoor mobile-to-mobile channels. In: Proc. European Conference on Antennas and Propagation (EUCAP), pp 2468–2472 Makhoul G, Mani F, D’Errico R, Oestges C (2017) Doppler characteristics for indoor mobile-to-mobile channels. In: Proc. European Conference on Antennas and Propagation (EUCAP), pp 2468–2472
15.
Zurück zum Zitat Ren H, Gao L, He X (2019) A Novel Generalized Modeling Mechanism for VHF and UHF Mobile-to-Mobile Channels. In: Proc. International Conference on Communication Software and Networks (ICCSN), pp 215–221 Ren H, Gao L, He X (2019) A Novel Generalized Modeling Mechanism for VHF and UHF Mobile-to-Mobile Channels. In: Proc. International Conference on Communication Software and Networks (ICCSN), pp 215–221
16.
Zurück zum Zitat Jiang C, Gao L, Duan L, Huang J (2018) Scalable mobile crowdsensing via peer-to-peer data sharing. IEEE Trans. Mobile Computing 17(4):898–912CrossRef Jiang C, Gao L, Duan L, Huang J (2018) Scalable mobile crowdsensing via peer-to-peer data sharing. IEEE Trans. Mobile Computing 17(4):898–912CrossRef
17.
Zurück zum Zitat Pamungkas W, Suryani T, Wirawan (2018) Correlated double ring channel model at high speed environment in vehicle to vehicle communications. In: Proc. International Conference on Information and Communications Technology (ICOIACT), pp 601–606 Pamungkas W, Suryani T, Wirawan (2018) Correlated double ring channel model at high speed environment in vehicle to vehicle communications. In: Proc. International Conference on Information and Communications Technology (ICOIACT), pp 601–606
18.
Zurück zum Zitat Patel CS, Stber GL, Pratt TG (2005) Simulation of Rayleigh-faded mobile-to-mobile communication channels. IEEE. Trans. Commun 53(11):1876–1884CrossRef Patel CS, Stber GL, Pratt TG (2005) Simulation of Rayleigh-faded mobile-to-mobile communication channels. IEEE. Trans. Commun 53(11):1876–1884CrossRef
19.
Zurück zum Zitat Zajic A, Stüber GL (2006) A new simulation model for mobile-to-mobile rayleigh fading channels. In: Proc. IEEE Wireless Commun. Netw. Conf., Las Vegas, NV, 3, pp 1266–1270 Zajic A, Stüber GL (2006) A new simulation model for mobile-to-mobile rayleigh fading channels. In: Proc. IEEE Wireless Commun. Netw. Conf., Las Vegas, NV, 3, pp 1266–1270
20.
Zurück zum Zitat Gutirrez CA, Ptzold M (2010) The design of sum-of-cisoids Rayleigh fading channel simulators assuming non-isotropic scattering conditions. IEEE Trans. Wireless Commun. 9(4):1308–1314CrossRef Gutirrez CA, Ptzold M (2010) The design of sum-of-cisoids Rayleigh fading channel simulators assuming non-isotropic scattering conditions. IEEE Trans. Wireless Commun. 9(4):1308–1314CrossRef
21.
Zurück zum Zitat Jiang H, Xue Y, Zhou J, Chen Z, Dang J, Wu L (2019) A 3D Cylinder MIMO Channel Model for 5G Macrocell Mobile-to-Mobile Communication Systems. IEEE Access 7:2169–3536CrossRef Jiang H, Xue Y, Zhou J, Chen Z, Dang J, Wu L (2019) A 3D Cylinder MIMO Channel Model for 5G Macrocell Mobile-to-Mobile Communication Systems. IEEE Access 7:2169–3536CrossRef
22.
Zurück zum Zitat He R, Ai B, Stüber GL, Zhong Z (2018) Geometrical-Based Statistical Modeling for Polarized MIMO Mobile-to-Mobile Channels. IEEE Trans Antennas Propag 66(8):4213–4227CrossRef He R, Ai B, Stüber GL, Zhong Z (2018) Geometrical-Based Statistical Modeling for Polarized MIMO Mobile-to-Mobile Channels. IEEE Trans Antennas Propag 66(8):4213–4227CrossRef
23.
Zurück zum Zitat Jiang H, Zhang Z, Dang J, Wu L (2018) A novel 3-D massive MIMO channel model for vehicle-to-vehicle communication environments. IEEE Trans. Commun. 77:79–90CrossRef Jiang H, Zhang Z, Dang J, Wu L (2018) A novel 3-D massive MIMO channel model for vehicle-to-vehicle communication environments. IEEE Trans. Commun. 77:79–90CrossRef
24.
Zurück zum Zitat Cheng X, Wang C-X, Laurenson DI, Salous S, Vasilakos AV (2009) An adaptive geometry-based stochastic model for non-isotropic MIMO mobile-to-mobilechannels. IEEE Trans. Wireless Commun. 8 (9):4824–4835CrossRef Cheng X, Wang C-X, Laurenson DI, Salous S, Vasilakos AV (2009) An adaptive geometry-based stochastic model for non-isotropic MIMO mobile-to-mobilechannels. IEEE Trans. Wireless Commun. 8 (9):4824–4835CrossRef
25.
Zurück zum Zitat He R, Ai B, Stüber GL, Zhang Z (2018) Mobility Model-Based Non-Stationary Mobile-to-Mobile Channel Modeling. IEEE Trans. Wireless Commun. 17(7):4388–4400CrossRef He R, Ai B, Stüber GL, Zhang Z (2018) Mobility Model-Based Non-Stationary Mobile-to-Mobile Channel Modeling. IEEE Trans. Wireless Commun. 17(7):4388–4400CrossRef
26.
Zurück zum Zitat Gutirrez CA, Gutirrez-Mena JT, Luna-Rivera JM, Campos-Delgado DU, Velzquez R, Ptzold M (2018) Geometry-Based Statistical Modeling of Non-WSSUS Mobile-to-Mobile Rayleigh Fading Channels. IEEE Trans. Veh. Technol. 67(1):362–377CrossRef Gutirrez CA, Gutirrez-Mena JT, Luna-Rivera JM, Campos-Delgado DU, Velzquez R, Ptzold M (2018) Geometry-Based Statistical Modeling of Non-WSSUS Mobile-to-Mobile Rayleigh Fading Channels. IEEE Trans. Veh. Technol. 67(1):362–377CrossRef
27.
Zurück zum Zitat Zajić AG, Stüber GL (2006) Efficient simulation of Rayleigh fading with enhanced de-correlation properties. IEEE Trans. Wireless Commun. 5(7):1866–1875CrossRef Zajić AG, Stüber GL (2006) Efficient simulation of Rayleigh fading with enhanced de-correlation properties. IEEE Trans. Wireless Commun. 5(7):1866–1875CrossRef
28.
Zurück zum Zitat Zheng YR, Xiao C (2003) Simulation models with correct statistical properties for Rayleigh fading channels. IEEE Trans. Commun. 53(6):920–928CrossRef Zheng YR, Xiao C (2003) Simulation models with correct statistical properties for Rayleigh fading channels. IEEE Trans. Commun. 53(6):920–928CrossRef
29.
Zurück zum Zitat Wang C-X, Pätzold M, Yuan D (2007) Accurate and efficient simulation of multiple uncorrelated Rayleigh fading waveforms. IEEE Trans. Wireless Commun. 6(3):833–839CrossRef Wang C-X, Pätzold M, Yuan D (2007) Accurate and efficient simulation of multiple uncorrelated Rayleigh fading waveforms. IEEE Trans. Wireless Commun. 6(3):833–839CrossRef
30.
Zurück zum Zitat Wang C-X, Yuan D, Chen H-H, Xu W (2008) An improved deterministic SoS channel simulator for multiple uncorrelated Rayleigh fading channels. IEEE Trans. Wireless Commun. 7(9):3307–3311CrossRef Wang C-X, Yuan D, Chen H-H, Xu W (2008) An improved deterministic SoS channel simulator for multiple uncorrelated Rayleigh fading channels. IEEE Trans. Wireless Commun. 7(9):3307–3311CrossRef
31.
Zurück zum Zitat Patel CS, Stüber GL, Pratt TG (2005) Comparative analysis of statistical models for the simulation of Rayleigh faded cellular channels. IEEE Trans. Commun. 53:1017–1026CrossRef Patel CS, Stüber GL, Pratt TG (2005) Comparative analysis of statistical models for the simulation of Rayleigh faded cellular channels. IEEE Trans. Commun. 53:1017–1026CrossRef
32.
Zurück zum Zitat Erceg V, Fortune S, Ling J, Rustako A, Valenzuela R (1997) Comparisons of a computer-based propagation prediction tool with experimental data collected in urban microcellular environments. IEEE Journal Sel. Areas Commun. 15(4):677–684CrossRef Erceg V, Fortune S, Ling J, Rustako A, Valenzuela R (1997) Comparisons of a computer-based propagation prediction tool with experimental data collected in urban microcellular environments. IEEE Journal Sel. Areas Commun. 15(4):677–684CrossRef
33.
Zurück zum Zitat Chizhik D, Foschini GJ, Valenzuela RA (2000) Capacities of multielement transmit and receive antennas: Correlations and keyholes. IEE Electron. Lett. 36:1099–1100CrossRef Chizhik D, Foschini GJ, Valenzuela RA (2000) Capacities of multielement transmit and receive antennas: Correlations and keyholes. IEE Electron. Lett. 36:1099–1100CrossRef
34.
Zurück zum Zitat Chizhik D, Foschini GJ, Gans MJ, Valenzuela RA (2002) Keyholes, correlations, and capacities of multielement transmit and receive antennas. IEEE Trans. Wireless Commun. 1:361–368CrossRef Chizhik D, Foschini GJ, Gans MJ, Valenzuela RA (2002) Keyholes, correlations, and capacities of multielement transmit and receive antennas. IEEE Trans. Wireless Commun. 1:361–368CrossRef
35.
Zurück zum Zitat Gesbert D, Blcskei H, Gore DA, Paulraj AJ (2002) Outdoor MIMO wireless channels: Models and performance prediction. IEEE Trans. Commun. 50:1926–1934CrossRef Gesbert D, Blcskei H, Gore DA, Paulraj AJ (2002) Outdoor MIMO wireless channels: Models and performance prediction. IEEE Trans. Commun. 50:1926–1934CrossRef
36.
Zurück zum Zitat Shin H, Lee JH (2003) Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole. IEEE Trans. Inform. Theory 49(10):2636–2647MathSciNetCrossRef Shin H, Lee JH (2003) Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole. IEEE Trans. Inform. Theory 49(10):2636–2647MathSciNetCrossRef
37.
Zurück zum Zitat Wang L, Liu W, Cheng Y (2009) Statistical analysis of a mobile-to-mobile Rician fading channel model. IEEE Trans. Veh. Technol. 58(1):32–38CrossRef Wang L, Liu W, Cheng Y (2009) Statistical analysis of a mobile-to-mobile Rician fading channel model. IEEE Trans. Veh. Technol. 58(1):32–38CrossRef
38.
Zurück zum Zitat Zheng Y, Xiao C (2002) Improved models for the generation of multiple uncorrelated Rayleigh fading waveforms. IEEE Commun. Lett. 6(6):256–258CrossRef Zheng Y, Xiao C (2002) Improved models for the generation of multiple uncorrelated Rayleigh fading waveforms. IEEE Commun. Lett. 6(6):256–258CrossRef
39.
Zurück zum Zitat Pätzold M, Wang C-X, Hogstad BO (2009) Two new sum-of-sinusoids based method for the efficient generation of multiple uncorrelated Rayleigh fading waveforms. IEEE Trans. Wireless Commun. 8 (6):3122–3131CrossRef Pätzold M, Wang C-X, Hogstad BO (2009) Two new sum-of-sinusoids based method for the efficient generation of multiple uncorrelated Rayleigh fading waveforms. IEEE Trans. Wireless Commun. 8 (6):3122–3131CrossRef
40.
Zurück zum Zitat Gan Y, Xu Q (2010) An improved SoS method for generating multiple uncorrelated Rayleigh fading waveforms. IEEE Commun. Lett. 14(7):641–643CrossRef Gan Y, Xu Q (2010) An improved SoS method for generating multiple uncorrelated Rayleigh fading waveforms. IEEE Commun. Lett. 14(7):641–643CrossRef
41.
Zurück zum Zitat Abdi A, Kaveh M (2002) A space-time correlation model for multielement antenna systems in mobile fading channels. IEEE J. Sel. Areas Commun. 20(3):550–560CrossRef Abdi A, Kaveh M (2002) A space-time correlation model for multielement antenna systems in mobile fading channels. IEEE J. Sel. Areas Commun. 20(3):550–560CrossRef
42.
Zurück zum Zitat Zajic AG, Stüber GL, Pratt TG, Nguyen S (2008) Envelope level crossing rate and average fade duration in mobile-to-mobile fading channels. In: Proc. IEEE Int. Conf. on Commun., Beijing, pp 4446–4450 Zajic AG, Stüber GL, Pratt TG, Nguyen S (2008) Envelope level crossing rate and average fade duration in mobile-to-mobile fading channels. In: Proc. IEEE Int. Conf. on Commun., Beijing, pp 4446–4450
43.
Zurück zum Zitat Anim-Appiah K (1998) Complex envelope correlations for nonisotropic scattering. IEEE Electron. Lett. 34:918–919CrossRef Anim-Appiah K (1998) Complex envelope correlations for nonisotropic scattering. IEEE Electron. Lett. 34:918–919CrossRef
44.
Zurück zum Zitat Spencer Q, Rice M, Jeffs B, Jensen M (1997) A statistical model for angle of arrival in indoor multipath propagation. In: Proc. IEEE Veh. Technol. Conf., Phoenix, AZ, pp 1415–1419 Spencer Q, Rice M, Jeffs B, Jensen M (1997) A statistical model for angle of arrival in indoor multipath propagation. In: Proc. IEEE Veh. Technol. Conf., Phoenix, AZ, pp 1415–1419
45.
Zurück zum Zitat Austin MD, Stüber GL (1994) Velocity adaptive handoff algorithms for microcellular systems. IEEE Trans. Veh. Technol. 43:549–561CrossRef Austin MD, Stüber GL (1994) Velocity adaptive handoff algorithms for microcellular systems. IEEE Trans. Veh. Technol. 43:549–561CrossRef
46.
Zurück zum Zitat Abdi A, Barger JA, Kaveh M (2002) A parametric model for the distribution of the angle of arrival and the associated correlation function and power spectrum at the mobile station. IEEE Trans. Veh. Technol 51(3):425–434CrossRef Abdi A, Barger JA, Kaveh M (2002) A parametric model for the distribution of the angle of arrival and the associated correlation function and power spectrum at the mobile station. IEEE Trans. Veh. Technol 51(3):425–434CrossRef
47.
Zurück zum Zitat Gutierrez CA, Pätzold M (2007) Sum-of-sinusoids-based simulation of flat fading wireless propagation channels under non-isotropic scattering conditions. In: Proc. IEEE Global Telecomm. Conf. Gutierrez CA, Pätzold M (2007) Sum-of-sinusoids-based simulation of flat fading wireless propagation channels under non-isotropic scattering conditions. In: Proc. IEEE Global Telecomm. Conf.
48.
Zurück zum Zitat Talha B, Pätzold M (2009) A geometrical three-ring-based model for MIMO mobile-to-mobile fading channels in cooperative networks. In: Proc. IEEE Veh. Technol. Conf., Barcelona, Spain, 1, pp 1–7 Talha B, Pätzold M (2009) A geometrical three-ring-based model for MIMO mobile-to-mobile fading channels in cooperative networks. In: Proc. IEEE Veh. Technol. Conf., Barcelona, Spain, 1, pp 1–7
49.
Zurück zum Zitat Lee W C-Y (1973) Finding the approximate angular probability density function of wave arrival by using a directional antenna. IEEE Trans. Veh. Technol. 21(3):328–334 Lee W C-Y (1973) Finding the approximate angular probability density function of wave arrival by using a directional antenna. IEEE Trans. Veh. Technol. 21(3):328–334
50.
Zurück zum Zitat Mardia KV, Jupp PE (1999) Directional statistics, Wiley, 1st edition Mardia KV, Jupp PE (1999) Directional statistics, Wiley, 1st edition
51.
Zurück zum Zitat Gradshsteyn IS, Ryzhik IM (2000) Table of integrals, series and products, Academic Press, 6th ed. Gradshsteyn IS, Ryzhik IM (2000) Table of integrals, series and products, Academic Press, 6th ed.
Metadaten
Titel
Simulation models for mobile-to-mobile channels with isotropic and nonisotropic scattering
verfasst von
Yanwu Ding
Yazan Ibdah
Publikationsdatum
30.09.2020
Verlag
Springer US
Erschienen in
Peer-to-Peer Networking and Applications / Ausgabe 2/2021
Print ISSN: 1936-6442
Elektronische ISSN: 1936-6450
DOI
https://doi.org/10.1007/s12083-020-00995-2

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