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The multi-hop connection scheme for cellular systems is expected to be an efficient method of expanding the cell size covered by a single base station without the need for additional transmission power at the base or mobile stations. The target of this paper is to propose the time division multi-hop relay scheme in combination with the packet admission control that is applied to the CDMA cellular system forward link. The cell size of CDMA cellular systems has a trade-off relationship with the system capacity and the transmission bit rate. We evaluated enhancing the cell size while trying to maintain the same system capacity and transmission bit rate as that currently achieved. The simulation results clarify that the multi-hop connection scheme applied to the CDMA cellular system has the capability to expand the cell size while maintaining the system capacity and the transmission bit rate.