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NETWORK INFORMATION THEORY
Name-Dilshad Ahmad
ROLL NO-MT/EC/10007/19
Course code: EC512
Course title: Stochastic
Processes and Information
Theory
ECE Dept. BIT Mesra,Ranchi
1
2
Introduction
 Network Information Theory deals with the real
communication scenario of today world where there are
many senders ,many receivers , multi user system are there.
 Network information theory also deal with multi hops ,relay
communication and integration of many services ,i.e.
different capacity channel operation in communication
system development.
3
Literature Survey
Title Auther Inference Year of
Publicat
ion
1.A unified
approach for
network
information
theory
Si-Hyeon Lee ; Sae-
Young Chung
In this paper, a unified
approach for N.I.T.and
prove a coding theorem,
which can recover most
of the achievability
results in network
information theory
IEEE,01
October
2015
2. Multiple
Access
Channels.
Liao,Henry Herng-
Jiunn
The author considers a
general multiple access
communication system
with several transmitters
communicating with one
receiver over a common
channel
Sep.197
2
Problem Identify
 We have a system with multiple senders and receivers containing many new
elements in the communication problems such as
 interference.
 cooperation.
 feedback.
4
 It involves the fundamental limits of communication and
Information Theory in networks with multiple senders and
receivers and optimal coding techniques and protocols which
achieve these limits.
Networked Information Processing
System
Communication network
• System: Internet, peer-to-peer network, sensor network
• Sources: Data, speech, music, images, video, sensor data
• Nodes: Handsets, base stations, processors, servers,
sensor nodes
• Network: Wired, wireless, or a hybrid of the two
5
6
Gaussian Multiple User
Channel
 Y=X+Z- ( For Single User )
 C(
𝑃
𝑁
)=0.5log(1+
𝑃
𝑁
)
 Ri<C(
𝑃
𝑁
)
 For Two User Ri+ Rj<C(
2𝑃
𝑁
)
 For m user 𝑖=1
𝑚
Ri< C(
𝑚𝑃
𝑁
)
7
Gaussian Broadcast Channel
Here Sender of power P and two distinct recievers
One Rx with noise power N1 and Second Rx has noise
power N2
Y1=X+Z1 and Y2=X+Z2
 R1<C(
𝞪𝑃
𝑁1
) and R2<C(
(1−𝞪)𝑃
𝞪𝑃+𝑁2
) { 0≤ 𝞪 ≤ 1 }
P
8
Gaussian Interference Channel
 Y1= X1+ aX2+ Z1
 Y2= X2+ aX1+ Z2
 Interference ‘a’ Should satisfy the condition
C(
a2 𝑃
(𝑃+𝑁)
) > C(
𝑃
𝑁
)
 Now first Rx understand perfectly the index of second Rx so,
 Once he finds the interfere signal from one another ,he subtract it from his
waveform received
9
Advantages
 It support multi user multi channel system.
 Many services can be Integrated here.
Disadvantages
 Complex System to control Interference.
10
CONCLUSION:
Reference:
[1].Si-Hyeon Lee ; Sae-Young Chung, A unified approach for network
information theory, IEEE,01 October 2015
[2]. Liao,Henry Herng-Jiunn, Multiple Access Channels, Defense Technical
Information CenterSep.1972
[3].Thomas M. Cover, Joy A. Thomas ”Element of Information Theory” Wiley
Publication,Chapter-15.1-15.1.3,Page no-513
Network Information theory is theory of Multiple
Sender, Multiple receiver and multiple users and it
deals with problem arises Interference, cooperation
and feedback, so Network information theory solves
the real-world communication challenges.
11

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Network information theory,Multiterminal Network,Guassian channels

  • 1. NETWORK INFORMATION THEORY Name-Dilshad Ahmad ROLL NO-MT/EC/10007/19 Course code: EC512 Course title: Stochastic Processes and Information Theory ECE Dept. BIT Mesra,Ranchi 1
  • 2. 2 Introduction  Network Information Theory deals with the real communication scenario of today world where there are many senders ,many receivers , multi user system are there.  Network information theory also deal with multi hops ,relay communication and integration of many services ,i.e. different capacity channel operation in communication system development.
  • 3. 3 Literature Survey Title Auther Inference Year of Publicat ion 1.A unified approach for network information theory Si-Hyeon Lee ; Sae- Young Chung In this paper, a unified approach for N.I.T.and prove a coding theorem, which can recover most of the achievability results in network information theory IEEE,01 October 2015 2. Multiple Access Channels. Liao,Henry Herng- Jiunn The author considers a general multiple access communication system with several transmitters communicating with one receiver over a common channel Sep.197 2
  • 4. Problem Identify  We have a system with multiple senders and receivers containing many new elements in the communication problems such as  interference.  cooperation.  feedback. 4  It involves the fundamental limits of communication and Information Theory in networks with multiple senders and receivers and optimal coding techniques and protocols which achieve these limits.
  • 5. Networked Information Processing System Communication network • System: Internet, peer-to-peer network, sensor network • Sources: Data, speech, music, images, video, sensor data • Nodes: Handsets, base stations, processors, servers, sensor nodes • Network: Wired, wireless, or a hybrid of the two 5
  • 6. 6 Gaussian Multiple User Channel  Y=X+Z- ( For Single User )  C( 𝑃 𝑁 )=0.5log(1+ 𝑃 𝑁 )  Ri<C( 𝑃 𝑁 )  For Two User Ri+ Rj<C( 2𝑃 𝑁 )  For m user 𝑖=1 𝑚 Ri< C( 𝑚𝑃 𝑁 )
  • 7. 7 Gaussian Broadcast Channel Here Sender of power P and two distinct recievers One Rx with noise power N1 and Second Rx has noise power N2 Y1=X+Z1 and Y2=X+Z2  R1<C( 𝞪𝑃 𝑁1 ) and R2<C( (1−𝞪)𝑃 𝞪𝑃+𝑁2 ) { 0≤ 𝞪 ≤ 1 } P
  • 8. 8 Gaussian Interference Channel  Y1= X1+ aX2+ Z1  Y2= X2+ aX1+ Z2  Interference ‘a’ Should satisfy the condition C( a2 𝑃 (𝑃+𝑁) ) > C( 𝑃 𝑁 )  Now first Rx understand perfectly the index of second Rx so,  Once he finds the interfere signal from one another ,he subtract it from his waveform received
  • 9. 9 Advantages  It support multi user multi channel system.  Many services can be Integrated here. Disadvantages  Complex System to control Interference.
  • 10. 10 CONCLUSION: Reference: [1].Si-Hyeon Lee ; Sae-Young Chung, A unified approach for network information theory, IEEE,01 October 2015 [2]. Liao,Henry Herng-Jiunn, Multiple Access Channels, Defense Technical Information CenterSep.1972 [3].Thomas M. Cover, Joy A. Thomas ”Element of Information Theory” Wiley Publication,Chapter-15.1-15.1.3,Page no-513 Network Information theory is theory of Multiple Sender, Multiple receiver and multiple users and it deals with problem arises Interference, cooperation and feedback, so Network information theory solves the real-world communication challenges.
  • 11. 11