Performance evaluation of the code acquisition system using pseudo-ternary M-sequences

In this paper, a code acquisition system using pseudo-ternary maximum-length shift register sequences (pseudo-ternary M-sequence) is proposed. The pseudo-ternary M-sequence is based on the M-sequence and generated by simple methods. Furthermore, the delay-locked loop (DLL) using the pseudo-ternary M-sequence can improve a tracking error performance by comparison with the DLL using the {−1, +1}-valued M-sequence. In the proposed acquisition system, a rectified pseudo-ternary M-sequence and the {−1, +1}-valued M-sequence are used. Because of the rectification, the proposed system realizes an acquisition scheme that is independent of the polarity of a received sequence. Moreover, a cross-correlation function of the rectified pseudo-ternary M-sequence and the {−1, +1}-valued M-sequence shows a pseudo-orthogonal relationship. In this paper, the detection probability and the false-alarm probability of the code acquisition system using the pseudo-ternary M-sequence are evaluated.