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Using the established weighted spatial\u2013temporal energy conservation argument, the authors derive a variance relation which contains moments that represent the effects of noisy links and random topology. The authors evaluate these moments and derive closed\u2010form expressions for the mean\u2010square deviation, excess mean\u2010square error and mean\u2010square error to explain the steady\u2010state performance at each individual node. The mean stability analysis is also provided. The derived theoretical expressions have good match with simulation results. 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