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A A DVANCED W IRELESS W C SS T ECHNOLOGIES T ECHNOLOGIES Aditya K. Jagannatham Indian Institute of Technology Kanpur Indian Institute of Technology Kanpur Commonwealth of Learning Vancouver MOOC on M4D 2013 Wireless Signal Fast Fading


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A

C

W

SS

ADVANCED WIRELESS TECHNOLOGIES TECHNOLOGIES

Aditya K. Jagannatham Indian Institute of Technology Kanpur Indian Institute of Technology Kanpur Commonwealth of Learning Vancouver

MOOC on M4D 2013

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SLIDE 2

Wireless Signal Fast Fading Wireless Signal Fast Fading

  • The wireless signal can reach the receiver via

direct and scattered paths. p

  • As a result, the receiver sees the

superposition of multiple copies of the superposition of multiple copies of the transmitted signal.

– Multipath Propogation

  • These signal copies experience different

These signal copies experience different attenuations, delays.

MOOC on M4D 2013 2

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SLIDE 3

Wireless Signal Fast Fading Wireless Signal Fast Fading

  • Results in interference, amplifying or

attenuating the signal power seen at the Rx. g g p

– This phenomenon is termed as fading.

  • Strong destructive interference is referred to
  • Strong destructive interference is referred to

as a deep fade.

MOOC on M4D 2013

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SLIDE 4

Techniques to Combat Fast Fading Techniques to Combat Fast Fading

  • Several techniques can be employed to

Several techniques can be employed to improve performance in a wireless fading channel channel.

– Forward Error Correction. – Interleaving. – Hybrid ARQ (HARQ). – Diversity.

MOOC on M4D 2013 4

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SLIDE 5

Forward Error Correction (FEC) Forward Error Correction (FEC)

S f l f d i i

  • System of error control for data transmission.

– Coding the data stream to correct at receiver.

  • Sender adds redundant data to its messages

also known as ‘parity’ bits. p y

  • Examples of forward error correction codes,

– Block Codes – Block Codes. – Convolutional Codes. Turbo Codes – Turbo Codes.

  • FEC typically uses a large overhead.

MOOC on M4D 2013 5

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SLIDE 6

Interleaving Interleaving

  • Symbol blocks to be transmitted.

– Each symbol block is coded to protect against y p g symbol errors (Ex. Convolutional Coding).

  • Symbol blocks after Interleaving.

– Interleaving arranges data in a non contiguous – Interleaving arranges data in a non‐contiguous fashion.

MOOC on M4D 2013 6

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SLIDE 7

Interleaving Interleaving

  • Deep fade results in a ‘Burst Error’ in the symbol

p y block affected by fading channel.

  • Symbol blocks after Deinterleaving.

Symbol blocks after Deinterleaving.

– Erroneous symbols are spread across multiple blocks.

  • This results in better error correction

performance for the block code.

– It can correct a fixed number of errors per block.

MOOC on M4D 2013 7

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SLIDE 8

Hybrid Automatic Repeat reQuest Hybrid Automatic Repeat reQuest

  • It is an error‐control method for packet data

transmission.

  • Uses ACKs/NACKs and timeouts to achieve

reliable data transmission reliable data transmission.

  • An ACK is sent by the receiver to indicate that

it has correctly received a data frame or packet. p

MOOC on M4D 2013 8

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SLIDE 9

Hybrid Automatic Repeat reQuest Hybrid Automatic Repeat reQuest

  • In case of a NACK, the receiver has two
  • ptions in H‐ARQ.

p

– Send the complete packet (Chase Combining). – Send only the parity bits (Incremental – Send only the parity bits (Incremental Redundancy).

It t b d f t i i f l

  • It cannot be used for transmission of real‐

time information (Ex audio/ video).

  • Suited for non real‐time applications such as

data e‐mail

MOOC on M4D 2013

data, e mail.

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SLIDE 10

10

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SLIDE 11

BER of a Rayleigh Fading Channel BER of a Rayleigh Fading Channel

BER in a Fading Wireless Channel

  • n

Detectio BER in a wired r BPSK D Channel BER for SNR

MOOC on M4D 2013 11

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SLIDE 12

Antenna Diversity Antenna Diversity

  • Consider a wireless signal received using

multiple antennas at the receiver (Rx) i.e. p ( ) employing receive antenna diversity.

  • Let the number of receive antennas be L
  • Let the number of receive antennas be L.
  • Hence, the receiver (Rx) sees L copies of the

transmitted wireless signal, each traveling through an independent Rayleigh flat‐fading through an independent Rayleigh flat fading channel.

MOOC on M4D 2013 12

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SLIDE 13

Schematic of a Rx Diversity System Schematic of a Rx Diversity System

Tx Tx Rx = Antenna

MOOC on M4D 2013

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Prerequisites for Diversity Gain Prerequisites for Diversity Gain

  • Diversity implies the receiver is provided

y p p with multiple copies of the transmitted signal.

  • The multiple signal copies should experience

independent levels of fading in the wireless p f f g channel.

  • This is because only in that case the
  • This is because only in that case the

probability that all signal copies fade simultaneously is reduced dramatically simultaneously is reduced dramatically.

– Leads to a significant reduction in the bit error t

MOOC on M4D 2013

rate.

14

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SLIDE 15

BER of a Rayleigh Fading Channel BER of a Rayleigh Fading Channel

BER in a Fading Wireless Channel

  • n

Detectio

L = 1

BER in a wired r BPSK D

L = 2 L = 4

Channel BER for

L 4 L = 8

SNR With Rx Antenna

MOOC on M4D 2013

Diversity

15

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SLIDE 16

16

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SLIDE 17

Diversity Diversity

  • Examples of diversity techniques

– Transmit/Receive Diversity. / y – Temporal Diversity. Frequency Diversity – Frequency Diversity. – Multipath Diversity.

MOOC on M4D 2013 17

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SLIDE 18

Spatial Diversity Spatial Diversity

A th d t di it b bt i d

  • As the name denotes, diversity can be obtained

by transmitting the wireless signal across independently fading spatial channels independently fading spatial channels.

  • This implies there are several receiving and/or

transmitting antennas that are spaced transmitting antennas that are spaced sufficiently far apart.

  • Spatial separation should be sufficently large to

Spatial separation should be sufficently large to reduce correlation between the different antennas or diversity branches.

  • Spacing guideline is approximately λ/2. At 2 GHz,

the spacing is roughly 5 cm.

MOOC on M4D 2013 18

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SLIDE 19

Temporal Diversity Temporal Diversity

l di i i hi d h h

  • Temporal diversity is achieved through

transmission of same wireless signal at different times i.e. through temporal spacing.

  • The time separation between the signal

p g copies should be larger than the coherence time of the channel for the different copies to p experience independent fading.

  • For instance at 2 GHz 60 Km/Hr the
  • For instance, at 2 GHz, 60 Km/Hr, the

temporal spacing should at least be 2 ms.

MOOC on M4D 2013 19

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SLIDE 20

Frequency Diversity Frequency Diversity

F di i i hi d h h

  • Frequency diversity is achieved through

transmission of same wireless signal in different i d d tl f di f b d i independently fading frequency bands i.e. through frequency spacing.

  • The frequency separation should be larger than

the coherence bandwidth Bc of the channel.

  • For cellular communications this is

approximately 300 KHz, since the delay spread is

  • f the order of 3μs.

MOOC on M4D 2013 20

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SLIDE 21

Multipath Diversity Multipath Diversity

Si l li i d i d diff

  • Signal replicas received are received at different

delays and phase factors at the receiver.

  • If these different replicas are spaced sufficiently

far apart so that they can be distinguished and they experience independent levels of fading, they can be used to exploit multipath diversity.

  • Receiver structures such as RAKE receiver in

CDMA and equalizers such as Maximum q Likelihood Sequence Estimator (MLSE) in a TDM/TDMA system provide multipath diversity.

MOOC on M4D 2013

y p p y

21

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SLIDE 22
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SLIDE 23

MIMO Communication Systems MIMO Communication Systems

  • A MIMO system has multiple (nt > 1) transmit

y p ( t ) and multiple (nr > 1) receive antennas.

  • MIMO wireless systems are a revolutionary

MIMO wireless systems are a revolutionary breakthrough because they offer Linear increase in throughput for the same – Linear increase in throughput for the same transmit power C b t f di th h i d t it – Combats fading through receive and transmit diversity.

MOOC on M4D 2013

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SLIDE 24

MIMO System Schematic Diagram MIMO System Schematic Diagram

Rx TX Rx

X

Transmitter Receiver Transmitter Receiver = Antenna

MOOC on M4D 2013

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SLIDE 25

MIMO Capacity vs SNR #Antennas MIMO Capacity vs. SNR, #Antennas

MIMO Capacity vs. SNR (dB) for Different No. of Antennas 10

2

r = t = 1 r = t = 2 r = t = 4 r = t = 8 /Hz) r = t = 8 10

1

Capacity (b/s/ C 5 10 15 20 25 30 35 40 45 50 10

MOOC on M4D 2013

SNR (dB)

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SLIDE 26

MIMO System Model MIMO System Model

 

 

      y y

1

      x x

1

       y 

2

y

       x 

2

x

MIMO System

     

r

n

y

     

t

n

x

  • The MIMO system model can be represented as,

. ) ( ) ( ) ( k k k n Hx y  

MOOC on M4D 2013

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SLIDE 27

MIMO Capacity Schematic MIMO Capacity Schematic

  • The MIMO system can be schematically represented

h ll l h l as having nt parallel channels.

– Spatial Multiplexing

Spatial nels rallel S Chann Pa

MOOC on M4D 2013

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SLIDE 28

SPACE‐TIME BLOCK CODES

MOOC on M4D 2013

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SLIDE 29

Alamouti Code Alamouti Code

  • The Alamouti Code or the Alamouti Scheme can
  • The Alamouti Code or the Alamouti Scheme can

be employed to obtain transmit diversity in a 2 transmit antenna system transmit antenna system.

  • It was described by Siavash Alamouti in his

i i 1998 k “A i l t it pioneering 1998 work “A simple transmit diversity technique for wireless communications” communications .

  • This powerful scheme, has been included in all

th 3G d 4G i l ll l d LAN the 3G and 4G wireless cellular and LAN standards.

MOOC on M4D 2013

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SLIDE 30

Alamouti Code Alamouti Code

  • Alamouti invented the first Orthogonal Space

Alamouti invented the first Orthogonal Space Time Block Code (OSTBC) in 1998.

  • It was designed for a two‐transmit antenna

system and achieves second order diversity y y (L=2) using a very simplistic symbol transmit scheme scheme.

MOOC on M4D 2013

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SLIDE 31

Alamouti Code Alamouti Code

  • The Alamouti symbol transmit structure is

given as, g

   

 

       

       1 2 2 1 2 , 1

* *

x x x x

Space

   

 

   

   1 2

*

x x

S Time MOOC on M4D 2013