A Novel Class of Structured Zero-Correlation Zone Sequence Sets

Abstract

Takafumi HAYASHI †a) , Senior Member, Takao MAEDA † †b) , Anh T. PHAM † †c) , and Shinya MATSUFUJI † † †d) , Members SUMMARY The present paper introduces a novel type of structured ternary sequences having a zero-correlation zone ( ) for both periodic and aperiodic correlation functions. The cross-correlation function and the side lobe of the auto-correlation function of the proposed sequence set are zero for phase shifts within the . The proposed sequence set can be generated from an arbitrary pair of an Hadamard matrix of order`h and a binary/ternary perfect sequence of length`p . The sequence set of order 0 is identical to the r-th row of the Hadamard matrix. For m 0, the sequence set of order (m + 1) is constructed from the sequence set of order m by sequence concatenation and interleaving. The sequence set has`p subsets of size 2`h . The periodic correlation function and the aperiodic correlation function of the proposed sequence set have a from (2 m+1 1) to 2 m+1 1. The periodic correlation function and the aperiodic correlation function of the sequences of the i-th subset and k-th subset have a from 2 m+2 (`h + 1)((j k) mod`p ) to 2 m+2 (`h + 1)(( j k) mod`p ). The proposed sequence is suitable for a heterogeneous wireless network, which is one of the candidates for the fifth-generation mobile networks.