On the performance of a maximum-likelihood code-acquisition technique for preamble search in a CDMA reverse link

The performance of a maximum likelihood (ML) code-acquisition technique is analyzed for slotted-mode preamble search in the code-division multiple access (CDMA) reverse link. The probabilities of detection, miss, and false alarm are derived analytically for multiple H ₁ cell cases, based on the statistics of the CDMA noncoherent demodulator output in a frequency-selective Rayleigh fading channel. The probability density function (PDF) of a decision variable is also derived by considering the fading characteristics of the received signal for both single- and dual-antenna cases. The performance of the code-acquisition technique is evaluated numerically with emphasis on the effects of postdetection integration, fading rate, antenna diversity, and so on