This paper reports work in which modified expressions for the bit error rate (BER) calculation of DS-CDMA systems with weighted despreading sequences (WDS) in the presence of Rayleigh fading and power-control error are proposed. The focus of the modified expressions is based on a simple equality which was proposed in the open literature. The major benefit from using the proposed expressions which are obtained for both coherent and noncoherent receptions is that they require less definition about the spreading sequences for the BER calculation.