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A two-dimensional multistage interference cancellation scheme for the uplink transmission of a high-speed single carrier cyclic prefix-assisted CDMA system is proposed. Equalisation and interference regeneration is performed in the frequency domain while data decision and interference subtraction is done in the time domain. Two variations of the scheme are proposed. They are a serial multistage interference cancellation scheme and a hybrid scheme combining the serial and parallel multistage interference cancellation methods. The second scheme has considerable reduction in processing delay over the first one at the cost of higher hardware complexity. The performance of both schemes is evaluated by extensive computer simulations.