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Future mobile communication systems aim to provide extremely high speed data transmission, especially in the downlink. Broadband orthogonal frequency code division multiple access (OFCDMA) with two-dimensional (2D) time and frequency domain spreading is becoming a very promising technique for high speed wireless communications due to its advantages over multi-carrier code division multiple access (MC-CDMA), direct sequence CDMA (DS-CDMA) and orthogonal frequency division multiplexing (OFDM). This paper presents a comparison, through simulation, between the performance of OFCDMA and MC-CDMA systems operating under the same condition. The paper also explains the basic structure of multi-carrier direct sequence CDMA (MC-DS-CDMA) technique, its advantages and OFCDMA system structure. It is shown that OFCDMA is superior to the above mentioned systems.