The present paper introduces the construction of se- quences having a zero-correlation zone. The cross- correlation function and the side-lobe of the auto- correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The pro- posed zero-correlation zone sequence set can be generated from an arbitrary perfect sequence, the length of which is the product of a pair of odd integers ((2k + 1)(2n + 1) for k 1 and n 0). A zero-correlation zone sequence set that satisfies the theoretical bound of the sequence member size for the zero-correlation zone and the sequence period is called an optimal zero-correlation zone sequence set The proposed sequence construction can generate an optimal zero-correlation zone sequence set. The proposed sequence set can successfully provide CDMA communication without co-channel interference. In an ultrasonic synthetic aperture imaging system, the proposed sequence set can improve the signal-to-noise ratio of the acquired image.
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