Zero-correlation zone sequence sets having subsets and its application to instrumentation

The present paper introduces the construction of a class of sequence sets with zero-correlation zones called zero-correlation zone sequence sets. The proposed zero-correlation zone sequence set can be generated from an arbitrary perfect sequence of length L
_p
= k(2n + 1) + 1, and a Hadamard matrix of order L
_h
, where L
_p
and L
_h
are comprime to each other. In an ultrasonic synthetic aperture imaging system, the proposed sequence set can improve the signal-to-noise ratio of the acquired image. The constructed sequence set consists of 2nL
_h
ternary sequences, each of length 2
^m+1
L
_p
L
_h
, for a non-negative integer m. The zero-correlation zone of the proposed sequences is |τ| ≤ 2
^m+1
k -1, where τ is the phase shift. The inter-subset zero-correlation zone of the proposed sequences is |τ| ≤ 2
^m+2
k, where t is the phase shift. The proposed scheme can improve radars using the zero-correlation property of the sequence set.