In time-hopping multiple access ultra wide band (THMA-UWB) systems, time-hopping sequences (THSs) are crucial in determining the system's anti-jamming performance. We discuss the property of periodic cross correlation of THSs, which can be used to analytically evaluate the properties of THSs in codeword synchronism and codeword asynchronism but chip synchronism. Then we also construct several classes of nearly optimal or optimal THS sets with respect to the lower bound on the maximal cross correlation, which have longer sequence periods and more flexible family sizes than known ones. These THS sets may be more applicable for UWB systems. In particular, some proposed THSs are nearly optimal with respect to the Johnson bound on the maximal possible number of THSs.
Introduction.With the development of wireless communication technology, a variety of wireless communication systems have emerged, making available spectrum resources increasingly saturated. However, people's demands for wireless communication systems continue to grow, and it is expected to provide higher data transmission rate, lower cost and lower power consumption. In this context, the ultra wide band (UWB) technology [19], a wireless technology that transmits data at a high speed in a short distance with very low power, has attracted the attention of scholars, and has become a hot topic in the research and development of wireless communication field. It is also regarded as one of the key technologies of the next generation wireless communication, and is widely used in high-speed, short-range wireless communication systems, such as wireless local area networks, intelligent transportation, radar imaging and biological recognition.The design of time-hopping sequences (THSs) is the key technology in timehopping multiple access ultra wide band (THMA-UWB) system [13]. It is necessary to find THSs with good correlation performance to minimize the collision of time slots, so as to achieve multiple access networking communication. In fact, the number of THSs determines the number of users that the system can accommodate, and