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MULTIPLE INPUT MULTIPLE OUTPUT SYSTEMS (MIMO). By MOHAMMED BERHEA. 1. Introduction. MIMO Systems: use multiple inputs and multiple outputs from a single channel are defined by Spatial Diversity and Spatial Multiplexing. Spatial Diversity and Spatial Multiplexing. Spatial Diversity
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MULTIPLE INPUT MULTIPLE OUTPUT SYSTEMS (MIMO) By MOHAMMED BERHEA
1. Introduction MIMO Systems: • use multiple inputs and multiple outputs from a single channel • are defined by Spatial Diversity and Spatial Multiplexing
Spatial Diversity and Spatial Multiplexing • Spatial Diversity • Signal copies are transferred from multiple antennas or received at more than one antenna • redundancy is provided by employing an array of antennas, with a minimum separation of λ/2 between neighbouring antennas • Spatial Multiplexing • the system is able to carry more than one data stream over one frequency, simultaneously
Why MIMO? • There is always a need for increase in performance in wireless systems • Significant increase in spectral efficiency and data rates • High Quality of Service (QoS) • Wide coverage, etc. • Wireless channel that we are using is very unfriendly • Suffers from Co–channel interference and signal level fading • It provides a limited bandwidth • power falls off with distance
MIMO System solutions • By using Multiple Output Multiple Input (MIMO) systems • Diversity gain mitigates the fading and increases coverage and improves QoS • Multiplexing gain increases capacity and spectral efficiency with no additional power or bandwidth expenditure • Array gain results in an increase in average receive SNR. • Spatial Diversity and Spatial Multiplexing can be conflicting goals
Spatial Multiplexing • MIMO channels can be decomposed into a number of R parallel independent channels → Multiplexing Gain • Principle: Transmit independent data signals from different antennas to increase the throughput, capacity. Source: An Overview of MIMO Systems in Wireless Communications www.iet.ntnu.no/projects/beats/Documents/mimo.pdf
MEMO capacity on fading channels • The capacity increase can be seen by comparing MEMO systems with SISO, SIMO, and MISO systems • SISO:capacity is given by Shannon’s classical formula: Where B is the BW and h is the fading gain • SIMO (with M transmitting antennas), the capacity is given by [2] • MISO (with M transmitting antennas), the capacity is given by [2]
MEMO capacity on fading channels • The capacity for MIMO systems can have the following forms (Assuming Tx antennas = Rx antennas = N): A) If the channel is not known at the transmitter: • Where Es is the total power, σ2 is noise level of AWGN • Hence the power is equally shared by each channel • The capacity grows linearly with the number of antennas B) If the channel is known at the transmitter
MEMO capacity on fading channels • With the channel known at the transmitter, the total power allocation the each channel will be based on watterfilling. • Watterfilling: Strong Sub-channel, with low noise power level will be assigned with a higher signal power. Where σN2 = σ2 / │hn2│ Illustrating Watterfilling Source: MIMO Systems and Transmit Diversity, www.comm.utoronto.ca/~rsadve/Notes/DiversityTransmit.pdf
Average capacity of a MIMO Rayleigh fading channel [] Source: Space-time Diversity Codes for Fading Channels, [3]
Spatial Diversity • Improves the signal quality and achieves a higher SNR at the receiver-side • Principle of diversity relies on the transmission of structured redundancy yi xi
MIMO Diversity and Reliability • The performance improvement in SNR and error probability for MIMO can be compared with SISO, SIMO, and MISO • The detailed calculation for SNR and Pe is shown in [1] • SISO: • Receive Diversity (SIMO): and and
MIMO Diversity and Reliability • The values for SNR and Pe for: • Transmit Diversity (MISO): • Transmit/Receive Diversity (MIMO): • The received signal at antenna i will be: • H is the channel fading matrix and and
Conclusion • The capacity of Receive or Transmit Diversitygrows logarithmically with the number of antennas • Capacity of MEMO increases linearly with the number of antennas • Using Spatial Diversity: • The SNR increases and Pe decreases when using MIMO • Spatial Multiplexing and Spatial Diversity are conflicting objectives
References [1] MIMO Architecture for Wireless Communication: Intel Technology Journal, vol. 10, Issue 02, May 2006 [2] MIMO Systems and Transmit Diversity, www.comm.utoronto.ca/~rsadve/Notes/DiversityTransmit.pdf [3] R.A. Carrasco, Space-time Diversity Codes for fading Channel, Staffordshire University [4] D. Gesbert, M.Shafi, D. Shiu, P. Smith, and A. Naguib, “From Theory to Practice: An Overview of MIMO Space–Time Coded Wireless Systems” IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 21, NO. 3, APRIL 2003 [5] Introduction to MIMO Systems: Application Note 1MA102, Rohde & schwarz