In WCDMA uplink, there are I/Q and code division multiplexed dedicated physics control channel (DPCCH) and dedicated physical data channel (DPDCH). And in DPCCH there are connection dedicated pilot sequences. This paper introduces two new adaptive algorithms for smart antenna processing in such CDMA systems, which can efficiently exploit the special signal transmitting structure. The main feature is that they only force the imaginary or real part of smart antenna output close to the desired responses corresponding to pilot sequences. So we call them Partially Directing Algorithms. To improve convergence properties both of them use variable and optimal step size in weight updating. Simulations show that they have very fast convergence rate and very good steady state performance.