IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Signal Design and Its Applications in Communications
Optimal Families of Perfect Polyphase Sequences from Cubic Polynomials
Min Kyu SONGHong-Yeop SONG
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2018 Volume E101.A Issue 12 Pages 2359-2365

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Abstract

For an odd prime p and a positive integer k 2, we propose and analyze construction of perfect pk-ary sequences of period pk based on cubic polynomials over the integers modulo pk. The constructed perfect polyphase sequences from cubic polynomials is a subclass of the perfect polyphase sequences from the Mow's unified construction. And then, we give a general approach for constructing optimal families of perfect polyphase sequences with some properties of perfect polyphase sequences and their optimal families. By using this, we construct new optimal families of pk-ary perfect polyphase sequences of period pk. The constructed optimal families of perfect polyphase sequences are of size p-1.

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© 2018 The Institute of Electronics, Information and Communication Engineers
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