• CDMA
• code synchronization
• game theory
• resource allocation
• UWB

This thesis describes a theoretical framework for the design and the analysis of distributed (decentralized) power control algorithms for wireless networks using ultrawideband (UWB) technologies over a frequency-selective and slow-fading channel, focusing of the issue of initial code synchronization. The framework described here is general enough to also encompass the analysis of Code Division Multiple Access (CDMA) systems, seen as a special case of the Impulse-Radio (IR)-UWB technology. To develop this work, we use the tools of game theory that are expedient for deriving scalable, energy-efficient, distributed power control schemes to be applied to a population of battery-operated user terminals in a rich multipath environment. The power control issue is modeled as a noncooperative game in which each transmitter-receiver pair chooses its transmit power and detection threshold pair so as to maximize its own utility, which is defined as the ratio of the probability of signal detection to the transmitted energy per acquisition period (or per bit).