Markovian SS codes imply inversion-free code acquisition in asynchronous DS/CDMA systems

Conventional single user correlator for asynchronous DS/CDMA systems provides only one scalar value for each data period. Code acquisition is expected to be improved if sampling is performed once each chip time. This accurate code acqusition method is shown to require covariance matrix of SS codes, while the optimum method needs inversion of the covariance matrix. However, Markovian SS codes with eigenvalue -2 + √3 do not need matrix inversion, which is the same value needed to achieve minimum bit error rate.