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Statistical analysis of decision threshold for parallel code acquisition with reference filtering in a fading mobile channel

This paper presents a statistical analysis of the decision threshold for direct-sequence spread-spectrum (DS-SS) parallel acquisition with reference filtering. The acquisition scheme employs a reference filter to evaluate threshold values for both the search and verification modes. For received PN codes with different SNR, the proposed scheme is able to detect a sub-optimal threshold value such that the mean acquisition time is minimized. It is shown that the mean acquisition time performance is less affected by changes of the weighting factors for a wide range of SNR. The probabilities of detection and false alarm are derived and the mean acquisition time is evaluated as a measure of the system performance in both nonfading and Rayleigh fading environments.