1. Overview on basic MIMO techniques
2. Single User Beamforming
3. Multi User MIMO
Mohamed Seif
STBC
 WiFi 802.11ac uses STBC (Alamouti Scheme).
 STBC is a transmit diversity scheme that comes with a
robust performance achieved with low cost.
Figure: Alamouti’s Scheme for 2*1
STBC (cont’d)
STBC (cont’d)
 In 802.11ac, four STBC modes were defined (2x1, 4x2,
6x3 or 8x4).
Figure: Alamouti’s Scheme for 4*2.
Spatial Multiplexing
Figure: 2*2 MIMO system.
Motivation
 Transmit beamforming is used to enhance the reception
of signals.
Figure: Depicts the difference between two
schemes.
Motivation (cont’d)
 In broader sense, higher SINR.
 In Transmit beamforming, parallel channel paths are
established such that each symbol is transmitted.
Figure: Conventional MIMO
system equivalent channel.
Figure: TX beamforming
equivalent channel (Ideal).
SVD approach
Where X is either U or V
SU-Beamforming Pre-coding
Figure: Equivalent channel model after pre-coding.
U
SU-Beamforming Pre-coding
Receiver design
 The received signal is then
 ZF or MMSE technique is applied to estimate the
symbols.
Figure: Tx Beamforming gain over conventional MIMO
in terms of un coded BER.
Results
Channel Correlation and Interference
Figure: Channel correlation can degrade the
beamforming gain.
Figure: Effect of channel correlation.
Results
Channel Feedback
 The Access Point (AP) does not have any Channel State
Information about the channel (CSI).
 Transmit Beamforming requires CSI in order to apply the
weighting matrix V.
 Channel feedback techniques are used.
Channel Feedback (cont’d)
 Communication system is a closed loop system.
 TDD is commonly used.
 Compressed feedback technique is used to reduce
overhead.
Figure: Closed loop system.
Compressed Channel Feedback
Compressed Channel Feedback (cont’d)
Compressed Channel Feedback (cont’d)
Histogram and Optimization
 Variable feedback rate may be investigated using
source coding.
Ref. W.H. Chin, C. Yuen, Design of differential quantization for low bitrate channel state
information feedback in MIMO-OFDM systems. IEEE VTC 2008 Spring.
Results
Multi-User MIMO (MU-MIMO)
 Capacity increasing.
 Interference Problem.
Figure: MU-MIMO scheme.
MU-MIMO modeling
MU-MIMO Pre-coding
 ZF Pre-coding (channel inversion)
 Regularizing the inversion
Figure: Block diagram for MU-MIMO pre-coding process.
Ref. An Introduction to the Multi-User MIMO Downlink, IEEE comsoc.
Receiver design
Receiver design (cont’d)
 The estimated symbol is then
Where,
Figure: Comparison between the two different
pre-coding techniques for MU-MIMO
Performance of the two schemes will converge at higher
SNR.
Results
Figure: Effect of feedback delay in MU-MIMO.
Results
THANK YOU!

Spatial techniques in WiFi 802.11ac