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We present a low complexity, yet high accuracy algorithm to jointly estimate the direction of arrival (DOAs) and propagation delays in the CDMA system. The proposed algorithm employs one spatial MUltiple SIgnal Classification (S-MUSIC) and two temporal (T)-MUSIC algorithms alternatively to estimate the group delays and the DOAs, respectively. Furthermore, a temporal filtering process and a spatial filtering process are also addressed to group the incoming rays so that the delays and the DOAs can be precisely estimated using the MUSIC algorithm. As such, the incoming rays are thus grouped, isolated, and estimated. Simulation results show that with such a tree-structured estimation scheme, the incoming rays can be resolved even with very close DOAs or delays.