The invention provides the ability to exploit redundancy characteristics of an equation set used to generate waveforms for wireless communication. In doing so, the invention can reduce the number of correlation values that need to be calculated in order to determine the most likely transmitted code word. In particular, the invention can exploit the redundancy characteristics of the equation set in a novel and unique fashion by separating the vector and calculating partial correlations for each separated portion of the vector. The techniques can drastically reduce the number of correlation values that need to be computed for demodulation, and can also reduce the total number of computations. In this manner, the demodulator of a wireless communication device can be simplified without negatively impacting performance.