Information encoded in a transmitted spread spectrum signal included in a composite signal is recovered. The composite signal is received from the communications medium, and correlated with a desired spreading sequence to produce a plurality of time-offset correlations. Weighting factors are generated based on knowledge of spread spectrum signals in the composite signal. The correlations are combined according to the weighting factors to estimate information encoded in the transmitted spread spectrum signal. According to one aspect, a composite channel response is estimated from knowledge of the desired spreading sequence and an impairment correlation is determined from an estimate of power of an interfering spread spectrum signal and an estimate of power of noise in the composite signal. The composite channel response and impairment correlation are used to generate the weighting factors. According to another aspect, weighting factors are iteratively generated from an estimated channel response, an estimated impairment correlation, and previously determined weighting factors. Related apparatus are also described.
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