A multi-media binary DS/CDMA system with variable processing gain and the coherent correlation receivers are considered under the additive white Gaussian noise channel. Two types of information sources with different rates and transmitting powers are assumed to be transmitted simultaneously in the same channel. In this thesis, average signal-to-noise ratios at the correlation receiver outputs for each type of information sources are analytically derived as functions of the discrete-time partial cross-correlations between the spreading code sequences. The analysis is expected to provide analytical tools for use in preliminary system design and spreading code selection.