Some constructions of almost-perfect, odd-perfect and perfect polyphase and almost-polyphase sequences

  • Authors:
  • Evgeny I. Krengel

  • Affiliations:
  • Kedah Electronics Engineering, Zelenograd, Korpus, Moscow, Russia

  • Venue:
  • SETA'10 Proceedings of the 6th international conference on Sequences and their applications
  • Year:
  • 2010

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Abstract

In the paper, some new almost-perfect (AP), odd-perfect (OP) and perfect polyphase and almost-polyphase sequences derived from the Frank and Milewski sequences are presented. The considered almost-polyphase sequences are polyphase sequences with some zero elements. In particular, we constructed AP 2t+1- and 2t+2-phase sequences of length 2 ċ 4t and 4t+1, OP 2t+1- and 2t+2-phase sequences of length 4t and 2 ċ 4t, OP 2t+1- and 2t+2 - phase sequences of length 4t(pm + 1), (pm - 1) ≡ 0 (mod 2 ċ 4t) with 4t zeroes and length 2 ċ 4t(pm + 1), (pm - 1) ≡ 0 (mod 4t+1) with 2 ċ 4t zeroes, and perfect 2t+1- and 2t+2 - phase sequences of length 4t+1(pm + 1) with 4t+1 zeroes and 2 ċ 4t+1(pm + 1) with 2 ċ 4t+1 zeroes. It is shown that the phase alphabet size of the obtained OP and perfect almost-polyphase sequences is much smaller in comparison with the known OP and perfect polyphase sequences of the same length and the alphabet size of some new OP polyphase sequences is minimum.