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A Direct Construction of q-ary Even Length Z-Complementary Pairs Using Generalized Boolean FunctionsAdhikary, Avik Ranjan; Sarkar, Palash; Majhi, Sudhan
IEEE signal processing letters, 2020, Letnik: 27Journal Article
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 = 2, the highest ZCZ ratio for even-length Zcomplementary pairs which are directly constructed using generalized Boolean functions (GBFs), is 2/3. In this letter, we present a direct construction of q-ary even-length Z-complementary pairs through GBFs, which can achieve aZCZ ratio of 3/4.In general, the constructed q-ary even-length Z-complementary pairs are of length 2 m-1 + 2 (m ∈ Z + ), having a ZCZ width of 2m -2 + 2 π(m-3) + 1 where π is a permutation over m - 2 variables.
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