A method and system for optimally combining noisy measurements of attributes to obtain a composite statistically useful attribute result is disclosed. The method includes measuring a signal to noise ratio for each carrier in a pair, computing a signal to noise ratio power which is derived from said signal to noise ratio of each carrier in the pair and adding said signal to noise ratio powers that have been received within a predetermined period of time until the sum of said signal to noise ratio powers reaches a first threshold. The method continues with computing a weight based on the percentage of each measurements signal to noise ratio power in relation to said sum of said signal to noise ratio powers and deriving a statistically useful attribute result based at least in part on said weight of each signal to noise ratio power.