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Signal design methods for the approximately synchronized CDMA systems based on complete complementary codes have been proposed. It has been shown that both the information transmission rate and the frequency usage rate can be increased by these kinds of CDMA systems. However, there are two big problems, that is, the small cell capacity and the large signal power. In this paper, we consider another communication system based on complete complementary codes, which is called the convoluted-time and code division multiple access (CT-CDMA) system. We give both the merits and the shortcomings of this method, and discuss the way to apply this system into some actual communication applications.