Pricing and Power Control in a Multicell Wireless Data Netwroks Saraydar, Mandayam and Goodman, JSAC

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Pricing and Power Control in a Multicell Wireless
Data NetwroksSaraydar, Mandayam and Goodman,
JSAC Oct 01

• Presented by
• Wiklom Teerapabkajorndet
• Telecommunications Program
• University of Pittsburgh
• Presented in CS3150 Fall 2002
• Game Theoretic Approach in Computer Science

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Agenda

• Background
• Problem
• Power control game
• Without pricing
• With pricing
• Best equal SIR approach
• Numerical results

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Background

• Radio resources are shared in wireless
  communication.
• The result of occupying the radio resources, i.e.
  using channel for communication, causes
  interference to others
• Signal interference limits the amount of
  transmitted data BERfunction(interference)
• SIR (signal interference ratio)

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Problem

• How should radio resources be assigned to
  maximize each users satisfaction?

Possible solution Game theoretic approach
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Power control game

• Utility definition

Unit of utility function bits/joule
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Power control game with no pricing
Using the first order partial derivative to the
above utility function with respect to pj
Then solve above equation to obtain the optimal
SIR
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Power control game in multicell networks

• Multicell networks require BS assignment
• BS assignment based on maximum received signal
  strength (MRSS)
• BS assignment based on maximum signal to
  interference ratio (MSIR)

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Power control game in multicell networksBS
assignment based on MRSS

• Idea
• Assign a BS that obtains the highest RSS first
• Assign the transmitted power by using game theory

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Power control game in multicell networksBS
assignment based on MRSS (cont)
BS assignment
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Power control game with no pricing and BS
assignment based on MRSS (cont)
Solve the above N equations for N players to get
the equilibrium power vector p
Note the transmitted power is limited by pmax
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Power control game in multicell networksBS
assignment based on MSIR
Idea joint assignment of BS and power
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Power control game with pricing

• Purpose to increase the equilibrium utility
  (Pareto dominant)
• Pricing based on consumed power
• Global pricing c(c, c, , c)
• Local pricing c(c1, c2, ,ck), ciRNi

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Power control game with pricing
Using the first order partial derivative to the
above utility function with respect to pj
Then solve above equations to obtain the
equilibrium SIR of each terminal
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Equilibrium transmitted power of games with
pricing
Case 1 BS assignment based on MRSS
Case 2 BS assignment based on MSIR
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Best equal SIR approach
where
Taking the derivative of utility with respect to
? and making it equal to zero.
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Results
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Results
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Results
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Results
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Results
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Results
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Conclusion
? ? ?