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In this paper, we derive an analytical expression for average signal-to-interference-plus-noise ratio (SINR) for ultra wideband (UWB) Rake receiver in an indoor multiuser communication scenario, given that the interference level is fluctuating due to asynchronous transmission among different users. The indoor wireless channel model adopted here is a standard channel model recently released by IEEE 802.15 study group 3a. We propose a theoretical framework to analyze the average SINR and show that our analysis is well coincident with the simulation results. Finally, we show that our result can be used to theoretically determine the optimum integration interval for a single-user UWB transmitted reference (TR) system.