The fuzzy-based SAM algorithm is proposed in this thesis to reduce the idle time. to recover call truncation fast when it is handed off and to last frequency acquisition in the mobile communications. It has additive and adaptive elements. Its weight values are generated not by feedback but by input conversion values. The initial expectation value is defined and forwardㆍbackward searching is executed 4o produce the expectation value of one chip. The fuzzy-based SAM algorithm is applied to the demodulator in CDMA system, and the synchronization time is measured. Synchronization time of PN code is 1.678$mu extrm{s}$ by SAM algorithm. It is 993 times faster than time of the conventional systems, 1.667$mu extrm{s}$.