z Analysis and Design of Cognitive Radio Networks Using Game Theory
 
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Interference Reducing Networks

This chapter has proposed a powerful new framework for the design of cognitive radio algorithms – the interference reducing network – for which adaptations converge and for
which each adaptation improves network performance. For arbitrary conditions, this policy can be implemented by incorporating observations made by other cognitive radios
into altruistic goals of the cognitive radios. However, when the bilateral symmetric interference condition holds, the radios only need to utilize estimates of their own interference to inform their decision making processes resulting in networks with excellent performance and minimal overhead (presumably some signaling is required to support the adaptation of a link, but there is no need to distribute additional information to coordinate these decisions with other links in the network).

Cognitive radio network is a potential game with a potential function that is negation of observed network interference

A network of cognitive radios where each adaptation decreases the sum of each radio’s observed interference is an IRN
represent the interference that cognitive radio i observes.
(network interference function) is measured by summing these interference terms as below
z be a point in the waveform space

z

Properties:

Optimal steady-state exists
–Network converges
–Every adaptation improves performance
–Stability for isolated minimizers of

difnition(6-1-1):

Implementing IRNs
Explicit information
Implicit information
Gather interference information from other devices in the network
Conceptually obvious implementations
Scales badly
A “bureaucratic nightmare”
lDesign network such that adaptations implement an IRN without gathering information on other devices’ interference
Scales well – ideal solution
Non-obvious how to implement
–Invisible hand of cognitive radio?

 


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