| Mobile-to-Mobile (M2M) communication system is a kind of mobile communication system which is not depending on the fixed base station. In M2M communication system, two or more mobile terminal communicate each other in directly, which means mobile users share their information without fixed base station relay. There are many potential applications of M2M communication, such as ad hoc network, cooperative distribution network, wideband mobile mesh network and inter-vehicle communications.However, the most risk task of designing a wireless communication system is figuring out the characteristics of the channel. Only after get reliable wireless propagation properties of the channel, the system could be designed successfully. The reorganizations of the channel require understanding kinds of deterioration, such as multi path loss, time varying fading, spatial selecting fading, etc. By using these information, the performance of the system could approach the ideal or Quasi-ideal. Furthermore, M2M communication system is totally different from modern cellule systems, the exist channel model could not be used to describe the propagation properties of the M2M fading channels, meanwhile, there are not sufficient research results could be used to explain the space-time-frequency characteristics of M2M channels. Modern communication systems rather tend to exploit the channel knowledge for increasing system reliability and capacity by employing techniques such as MIMO. Schemes such as MIMO diversity are being employed in future mobile communication systems. Thus, a good understanding of the space properties of MIMO channel is the key for extending the limits of M2M communication systems.With those views in mind, we focus on the research of M2M fading channel properties, by utilizing the computer simulations method, modeling the M2M channel model and analyzing the statistical properties of the channel. We committed building the new M2M fading channel model for real street wireless propagation conditions. The main contains of the paper and research contributions are briefly summarized as below.(1) Deterministic simulation model parameters methods analyzing. This analyzed spread Doppler extends method and Lp-norm method, and measured the correspondence between the simulation model and statistical model. And then explained the effects caused by numbers of the sinusoidal harmonic function. Finally, we extended the methods to fit for the M2M fading channel modeling. The theory research work is basic work for M2M channel deterministic modeling.(2) Geometrical modelling for a wireless transmission link between two mobile stations. We show how a reference model for the path gains can be derived from the geometrical model and provide general expressions and close forms for the transmit and receive space-time correlation functions. The procedure presented in the paper provides an important framework for macro cell MIMO M2M frequency non-selective fading simulation modeling.(3) Deriving a MIMO M2M channel simulation model from a non-realizable reference model presented in our paper. We present a closed-form solution of the model parameters by using MEDS and Lp-norm method. In case of isotropic scattering, we illustrate some numerical results for space-time correlation functions. Meanwhile, extended the reference model in 2×2 antenna elements with respect to an arbitrary number of antenna elements, such as 4×4, 6×6, at the transmit and receive side. Finally, simulation results show an excellent correspondence between the statistical and time average of the MIMO channel capacity.(4) Modelling a new wideband MIMO fading channel model for vehicle-to-vehicle (V2V) communications. The MIMO V2V channel model, called for brevity T-model, captures the propagation effects that occur if vehicles move towards a junction with a side road and corner buildings. The starting point for the derivation of the T-model is a new geometric T-junction scattering model, where both single- and double-bounce scattering mechanisms are assumed. Our geometry-based channel model takes into account the exact relationship between the angle-of arrival (AoA) and the angle-of-departure (AoD). The statistical properties of the T-model are studied under the assumption of non-isotropic scattering. An analytical solution is provided for the space-time-frequency cross-correlation function (STF-CCF) from which several other important characteristic quantities like the temporal autocorrelation function (ACF) can directly be obtained. The achieved theoretical results are illustrated for a typical T-junction propagation scenario. This research work provides designers of MEMO V2V communication systems an important tool in form of a wideband spatial channel model enabling the performance analysis of new high data rate transmission schemes under propagation conditions occurring at T-junctions.
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