Optimal Zero-Correlation Zone Sequence Set Constructed from a Perfect Sequence

The present paper introduces the construction of sequences having a zero-correlation zone. The cross-correlation function and the side-lobe of the autocorrelation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The proposed 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 ges 1 and n ges 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.