A symbol is transmitted in a communications medium according to a first spreading sequence of a set of spreading sequences, for example, CDMA channelization codes, which may be used to transmit symbols in the system. A communications signal is received from the communications medium, for example, at a mobile terminal. The received communications signal is resolved into a plurality of multipath signal components by, for example, descrambling the received signal according to a cell-specific scrambling code. The resolved plurality of signal components is correlated with the set of spreading sequences to generate a respective set of correlations for a respective one of the resolved signal components, a respective one of the sets of correlations including a respective correlation of a resolved signal component with the first spreading sequence. An interference component associated with a second spreading sequence of the set of spreading sequences, identified based on the correlations of the resolved signal components with the set of possible spreading sequences, is cancelled from the correlations of the plurality of resolved signal components with the first spreading sequence, thus generating a set of interference-cancelled correlations of the resolved signal components with the first spreading sequence. The transmitted symbol is estimated from the set of interference-cancelled correlations. Preferably, the set of spreading sequences is orthogonal. More preferably, the set of spreading sequences comprises a Hadamard code, and the correlations of the set of possible spreading sequences with the resolved signal components is generated using a fast Hadamard transform.