A system including a differential demodulation module that generates differentially demodulated signals based on having differentially demodulated received signals. A first summing module generates a combined signal, including a plurality of symbols, by adding the differentially demodulated signals. A second summing module generates a plurality of sums for each of a plurality of derived preamble sequences, which are derived from preamble sequences. Each of the derived preamble sequences includes a plurality of derived symbols. One of the plurality of sums generated for one of the derived preamble sequences is a sum of a first portion of one of the plurality of symbols of the combined signal and a second portion of one of the derived symbols of the one of the derived preamble sequences.