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Analysis performances of algorithms V BLAST and suboptimal ML for the MIMO system

Keywords:

V.G. Kartashevskiy – Dr. Sc. (Eng.), Professor, Head of Department of Multiservices Networks and Information Security, Volga State University of Telecommunications and Informatics (Samara) E-mail: kartash@psati.ru O.S. Konyaeva – Senior Lecturer, Department of Software and Management in Technical Systems, Volga State University of Telecommunications and Informatics (Samara) E-mail: konyaeva2012@gmail.com E.S. Semenov – Ph. D. (Eng.), Associate Professor, Head of Department of Telecommunication Systems, Volgograd State University E-mail: essemenov@mail.ru


The paper describes in detail two cases for the MIMO channel. The first type of communication channel for MIMO systems is the channel without memory, where it is not an effect of intersymbol interference (ISI), but there is fading. In this case, the channel matrix consists of complex coefficients that describe the channel between the transmitting antenna and receiving antenna. The second case is the channel memory, where there is the effect of intersymbol interference. The channel for this type of matrix is a Toeplitz matrix. The article also deals with the operation of the MIMO system in memory channel using such different signal processing algorithms aimed for working in conditions of inter-symbol interference as Maximum Likelihood (ML) algorithm and algorithm «reception a whole with elementwise decision» (RWED). Both algorithms are based on the criterion of the minimum probability of error, and the decision shall be made only on the characters that are in the first position of the interval since only they fully take into account the energy scattering at the interval. RWED algorithm difference is, the reception «as a whole» is performed on the memory channel interval, and the use of «feedback on the decision», the essence of which is that after the decision of the symbol in the current processing interval aftereffect of it can be compensated with the transition to the next interval. It is also described in detail in the signal demodulation algorithm with space-time coding, dubbed the V BLAST (Vertical-Bell Labs Layered Space Time Architecture) for MIMO systems. Statistical modeling of the considered algorithms confirmed the a priori idea of their capabilities and characteristics of noise immunity.
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