This paper is concerned with capacity estimation in multiple-chip-rate (MCR) DS/CDMA systems supporting multimedia services with different information rates and quality requirements. Considering both power spectral density (PSD) over a radio frequency (RF) band and the effect of RF input filtering on the receiver, capacity that satisfies the requirement of the bit energy-to-interference PSD ratio is derived. The optimum value of the received power which causes the least interference for other users while maintaining an acceptable quality-of-service (QoS) requirement is also derived. The results show that system performance is strongly affected by a selected channel assignment strategy. Therefore, it is critical to efficiently assign radio resources in MCR-DS/CDMA systems that support high capacity and a low blocking rate.