BERperformancesimulationin a
multi userMIMOTAS/MRC
Nakagami-mchannelusing
BPSK,QPSKandQAM
Under the Supervision of:
Mrs. Jayatri Bora,
(Asst. Professor, Department of ECE)
Vikas Pandey
DE/12/EC/001
Rubina Khongsit
DE/12/EC/002
Ruptanu Pal
DE/12/EC/008
Tanya Singh
DE/12/EC/020
RenjiThomas
DE/11/EC/051
Kh. Nongpoknganba
DE/11/EC/108
OBJECTIVE
 Bit Error Rate Performance Simulation
 For Multi user MIMOTAS/MRC Nakagami-m Channel
 Using BPSK, QPSK and QAM
Using Matlab
INSPIRATION
 It is the most recent technique being used in industries
 Not much work has been done on Nakagami-m fading
 BPSK, QPSK and QAM are popularly used in
commercial MIMO devices
STEPS
INVOLVED
KEYTERMS
 Mu-MIMO
 TAS (Transmit Antenna Selection)
 MRC (Maximal Ratio Combining)
 Fading
 Nakagami-m channel
 BER
MIMO
 MIMO: Multiple Input Multiple Output
 Multiple antennas at both the transmitter and receiver .
 Offers increase in data throughput and link range.
 Spreads the same total transmit power over the
antennas to achieve:
 an array gain
 a diversity gain
SINGLEUSER
MIMO
 Multiple antennas are physically connected to each
individual terminal.
Fig 1: Single user MIMO
[1] DigitalCommunication by John G .Proakis 3rd edition Mc graw hill p 841
MULTIUSER
MIMO
 Terminals transmit (or receive) signal to (or from)
multiple users in the same band simultaneously.
Fig 2: Multi-user MIMO
[2] Digital Communication by John G .Proakis 3rd edition Mc graw hill p 842
TAS and MRC
 TAS:Transmit Antenna Selection
 Selects the best transmitting antenna.
 Feedback path.
 Reduces complexity.
 MRC: Maximal-Ratio Combining
 An optimal diversity technique with a maximum SNR
criterion.
TAS / MRC
 An integratedTAS scheme with MRC at the receiver-
TAS/MRC.
 Retains the advantages of both.
 Employs MRC at receiver.
 Utilizes partial Channel State Information (CSI), the
optimal SNR at the receiver.
 Single antenna selected out of all possible transmit
antennas
 Maximizes the SNR at the receiver.
Fig 3: Multi-user MIMO System Model usingTAS/MRC
[3] MohammadTorabi, David Haccoun andWessam Ajib, “Capacity and outage probability analysis of
Multiuser Diversity in MIMO MRC Systems withTransmit Antenna Selection “.
SCHEDULING
TECHNIQUE
 Absolute SNR – based scheduling
 An absolute SNR based scheduler at the base station selects
the best user among all the active users.
 Normalized SNR based proportional fair scheduling
 Scheduling scheme the base station selects the user with the
largest normalized SNR value.
FADING IN
MIMO
 Deviation of the attenuation affecting a signal over
certain propagation media[4].
 The signal suffers loss in power due to
 Shadowing
 Reflection
 Refraction
 Scattering
 Are represented by different mathematical expressions
[4 ] Lars Ahlin & Jens Zander, Principles ofWireless Communications, pp.126.
NAKAGAMI-m
FADING
 The Nakagami-m distribution: Probability
distribution related to the gamma distribution.
 Two parameters:
 a shape parameter, m (>1)
 controlling spread parameter, Ω (=1)
 Availability of a free parameter allows flexibility.
NAKAGAMI-m
FADING
Fig4: Probability Distribution Function of Nakagami distribution
[5] Nakagami M., “The m-distribution, a General Formula of Intensity Distribution of Rapid Fading in Statistical Methods
in RadioWave Propagation”,W. G. Hoffman, Ed., Pergamon, Oxford, England, 1960
NAKAGAMI-m
FADING
 m-parameter allows to cover both severe and weak
fading.
 High value of m causes a negative impact on the
capacity of Mu-MIMO systems.
 Used to model
 land-mobile
 indoor mobile multipath propagation
 scintillating ionosphere radio links
[6] Proakis. J. and Salehi. M. “Digital Communication”, 5th Ed, Mc-Graw Hill, International Edition, 2008, p 52, 53.
MODULATION
TECHNIQUES
 Binary Phase Shift Keying (BPSK)
 Quadrature Phase Shift Keying (QPSK)
 QuadratureAmplitude Modulation (QAM)
BIT ERROR
RATE (BER)
 Key parameter used in assessing systems transmitting
digital data.
 Defined as the rate at which error occurs in a
transmission system.
 Can be translated into a simple formula
𝐵𝐸𝑅 =
𝑛𝑜 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟𝑠
𝑡𝑜𝑡𝑎𝑙 𝑛𝑜 𝑜𝑓 𝑏𝑖𝑡𝑠 𝑠𝑒𝑛𝑡
=
𝑛𝑜 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟𝑠
(𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑎𝑐𝑘𝑒𝑡𝑠)𝑋(𝑓𝑟𝑎𝑚𝑒−𝑙𝑒𝑛𝑔𝑡ℎ)
BIT ERROR
RATE (BER)
 Errors in the data, compromise the integrity of the
system.
 BER assesses the performance of the system.
 BER enables the actual performance of a system in
operation to be tested.
SIMULATION
AND RESULT
Fig. 5. BER for BPSK,QPSK and QAM in a mu-MIMO with 200 users,
having Nakagami-m fading (m=2).
SIMULATION
AND RESULT
Fig. 6. BER for BPSK,QPSK and QAM in a mu-MIMO with 500 users,
having Nakagami-m fading (m=2).
INFERENCES
 The energy per bit to noise power spectral density ratio
(EbNo) for
 BPSK is from 0 to 4,
 for QPSK is 0 to 8
 for QAM is 0 to 16
 No of users increases the error do decrease
 The effect is more in BPSK and the least in QAM
 Findings can be applied in designing of future MIMO mobile
devices
FUTURE
ASPIRATIONS
 Hardware appraisal of the simulated results
 Comparison of practical & simulated results.
BER performance simulation in a multi user MIMO Presentation

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BER performance simulation in a multi user MIMO Presentation

  • 1. BERperformancesimulationin a multi userMIMOTAS/MRC Nakagami-mchannelusing BPSK,QPSKandQAM Under the Supervision of: Mrs. Jayatri Bora, (Asst. Professor, Department of ECE) Vikas Pandey DE/12/EC/001 Rubina Khongsit DE/12/EC/002 Ruptanu Pal DE/12/EC/008 Tanya Singh DE/12/EC/020 RenjiThomas DE/11/EC/051 Kh. Nongpoknganba DE/11/EC/108
  • 2. OBJECTIVE  Bit Error Rate Performance Simulation  For Multi user MIMOTAS/MRC Nakagami-m Channel  Using BPSK, QPSK and QAM Using Matlab
  • 3. INSPIRATION  It is the most recent technique being used in industries  Not much work has been done on Nakagami-m fading  BPSK, QPSK and QAM are popularly used in commercial MIMO devices
  • 5. KEYTERMS  Mu-MIMO  TAS (Transmit Antenna Selection)  MRC (Maximal Ratio Combining)  Fading  Nakagami-m channel  BER
  • 6. MIMO  MIMO: Multiple Input Multiple Output  Multiple antennas at both the transmitter and receiver .  Offers increase in data throughput and link range.  Spreads the same total transmit power over the antennas to achieve:  an array gain  a diversity gain
  • 7. SINGLEUSER MIMO  Multiple antennas are physically connected to each individual terminal. Fig 1: Single user MIMO [1] DigitalCommunication by John G .Proakis 3rd edition Mc graw hill p 841
  • 8. MULTIUSER MIMO  Terminals transmit (or receive) signal to (or from) multiple users in the same band simultaneously. Fig 2: Multi-user MIMO [2] Digital Communication by John G .Proakis 3rd edition Mc graw hill p 842
  • 9. TAS and MRC  TAS:Transmit Antenna Selection  Selects the best transmitting antenna.  Feedback path.  Reduces complexity.  MRC: Maximal-Ratio Combining  An optimal diversity technique with a maximum SNR criterion.
  • 10. TAS / MRC  An integratedTAS scheme with MRC at the receiver- TAS/MRC.  Retains the advantages of both.  Employs MRC at receiver.  Utilizes partial Channel State Information (CSI), the optimal SNR at the receiver.  Single antenna selected out of all possible transmit antennas  Maximizes the SNR at the receiver.
  • 11. Fig 3: Multi-user MIMO System Model usingTAS/MRC [3] MohammadTorabi, David Haccoun andWessam Ajib, “Capacity and outage probability analysis of Multiuser Diversity in MIMO MRC Systems withTransmit Antenna Selection “.
  • 12. SCHEDULING TECHNIQUE  Absolute SNR – based scheduling  An absolute SNR based scheduler at the base station selects the best user among all the active users.  Normalized SNR based proportional fair scheduling  Scheduling scheme the base station selects the user with the largest normalized SNR value.
  • 13. FADING IN MIMO  Deviation of the attenuation affecting a signal over certain propagation media[4].  The signal suffers loss in power due to  Shadowing  Reflection  Refraction  Scattering  Are represented by different mathematical expressions [4 ] Lars Ahlin & Jens Zander, Principles ofWireless Communications, pp.126.
  • 14. NAKAGAMI-m FADING  The Nakagami-m distribution: Probability distribution related to the gamma distribution.  Two parameters:  a shape parameter, m (>1)  controlling spread parameter, Ω (=1)  Availability of a free parameter allows flexibility.
  • 15. NAKAGAMI-m FADING Fig4: Probability Distribution Function of Nakagami distribution [5] Nakagami M., “The m-distribution, a General Formula of Intensity Distribution of Rapid Fading in Statistical Methods in RadioWave Propagation”,W. G. Hoffman, Ed., Pergamon, Oxford, England, 1960
  • 16. NAKAGAMI-m FADING  m-parameter allows to cover both severe and weak fading.  High value of m causes a negative impact on the capacity of Mu-MIMO systems.  Used to model  land-mobile  indoor mobile multipath propagation  scintillating ionosphere radio links [6] Proakis. J. and Salehi. M. “Digital Communication”, 5th Ed, Mc-Graw Hill, International Edition, 2008, p 52, 53.
  • 17. MODULATION TECHNIQUES  Binary Phase Shift Keying (BPSK)  Quadrature Phase Shift Keying (QPSK)  QuadratureAmplitude Modulation (QAM)
  • 18. BIT ERROR RATE (BER)  Key parameter used in assessing systems transmitting digital data.  Defined as the rate at which error occurs in a transmission system.  Can be translated into a simple formula 𝐵𝐸𝑅 = 𝑛𝑜 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟𝑠 𝑡𝑜𝑡𝑎𝑙 𝑛𝑜 𝑜𝑓 𝑏𝑖𝑡𝑠 𝑠𝑒𝑛𝑡 = 𝑛𝑜 𝑜𝑓 𝑒𝑟𝑟𝑜𝑟𝑠 (𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑎𝑐𝑘𝑒𝑡𝑠)𝑋(𝑓𝑟𝑎𝑚𝑒−𝑙𝑒𝑛𝑔𝑡ℎ)
  • 19. BIT ERROR RATE (BER)  Errors in the data, compromise the integrity of the system.  BER assesses the performance of the system.  BER enables the actual performance of a system in operation to be tested.
  • 20. SIMULATION AND RESULT Fig. 5. BER for BPSK,QPSK and QAM in a mu-MIMO with 200 users, having Nakagami-m fading (m=2).
  • 21. SIMULATION AND RESULT Fig. 6. BER for BPSK,QPSK and QAM in a mu-MIMO with 500 users, having Nakagami-m fading (m=2).
  • 22. INFERENCES  The energy per bit to noise power spectral density ratio (EbNo) for  BPSK is from 0 to 4,  for QPSK is 0 to 8  for QAM is 0 to 16  No of users increases the error do decrease  The effect is more in BPSK and the least in QAM  Findings can be applied in designing of future MIMO mobile devices
  • 23. FUTURE ASPIRATIONS  Hardware appraisal of the simulated results  Comparison of practical & simulated results.