In this paper, a Reduced-Complexity Selective RAKE (RC-SRAKE) receiver scheme is proposed, which can be adopted in ultra-wideband multipath channel under NLOS environment. It employs a convolution based finger selection algorithm, which has low complexity because it does not require precise channel information or channel estimation. A closed-form expression for symbol error probability of the proposed RC-SRAKE is derived in term of the combined fingers and impulse noise. The derived expressions are evaluated numerically with IEEE 802.15.4a NLOS channel models. It is demonstrated that RC-SRAKE can achieve the approximate performance as to ideal SRAKE with a fewer fingers.