A novel class of binary zero-correlation zone sequence sets

The present paper introduces the construction of binary sequences 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 proposed zero-correlation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The proposed zero-correlation zone sequence set consists of two sub groups. The inter-group cross-correlation function has much wider than the inner-group cross-correlation function. When the proposed sequence set is applied to the synthetic aperture ultrasonic imaging, this wide inter-group zero-correlation zone enables better image than usual method. The proposed sequence set is suitable for real-time synthetic aperture ultrasonic imaging.