A novel class of binary zero-correlation zone sequence sets by using a cyclic difference set

The present paper introduces the construction of a binary sequence that has a zero-correlation zone (ZCZ). For the proposed sequence set, the cross-correlation function and the side-lobe of the autocorrelation function are zero for the phase shifts within the zero-correlation zone. The proposed ZCZ sequence set can be generated from an arbitrary binary sequence that has a two-value autocorrelation. In actual applications, the peak of the correlation function for the phase outside of the zero-correlation zone is important. The absolute value of the out-of-phase correlation function of the proposed sequence of length m^th is less than or equal to 2^m+1(n + 1), which is about half of the power (the inner product) 2^m+2ⁿ of the sequence. The proposed sequence set can be used in a robust sensor/controller network. With the proposed sequence, we examine the performances of ultrasonic imaging.