A system includes a differential demodulation module that differentially demodulates modulated signals to generate differentially demodulated signals. A correlation module correlates the differentially demodulated signals with derived preamble sequences and generates correlation values. The derived preamble sequences are derived from preamble sequences. One of the derived preamble sequences is generated by combining bits of one of the preamble sequences using an exclusive OR function. Each bit of one of the derived preamble sequences has a first state when a corresponding bit and a bit adjacent to the corresponding bit in a corresponding one of the preamble sequences have opposite states. The each bit has a second state when the corresponding bit and the bit adjacent to the corresponding bit have the same state.