Abstract
The zero correlation zone (ZCZ) ratio, i.e., the ratio of the width of the ZCZ and the length of the sequence plays a major role in reducing interference in an asynchronous environment of communication systems. However, to the best of the authors knowledge, for $q=\text{2}$ , the highest ZCZ ratio for even-length Z-complementary pairs which are directly constructed using generalized Boolean functions (GBFs), is $\text{2}/\text{3}$ . In this letter, we present a direct construction of $q$ -ary even-length Z-complementary pairs through GBFs, which can achieve a ZCZ ratio of $\text{3}/\text{4}$ . In general, the constructed $q$ -ary even-length Z-complementary pairs are of length $\text{2}^{m-\text{1}}+\text{2}$ ( $m \in \mathbb {Z}^+$ ), having a ZCZ width of $\text{2}^{m-\text{2}}+\text{2}^{\pi (m-\text{3})}+\text{1}$ where $\pi$ is a permutation over $m-\text{2}$ variables.
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