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Circulant matrix representation of PN-sequences with ideal autocorrelation property

Khojasteh, M. J ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1109/IWCIT.2015.7140218
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2015
  4. Abstract:
  5. In this paper, we investigate PN-sequences with ideal autocorrelation property and the consequences of this property on the number of +1s and -1s and run structure of sequences. We begin by discussing and surveying about the length of PN-sequences with ideal autocorrelation property. From our discussion and survey we introduce circulant matrix representation of PN-sequence. Through circulant matrix representation we obtain system of non-linear equations that lead to ideal autocorrelation property. Rewriting PN-sequence and its autocorrelation property in {0,1} leads to a definition based on Hamming weight and Hamming distance and hence we can easily prove some results on the PN-sequences with ideal autocorrelation property
  6. Keywords:
  7. Circulant matrix representation ; Ideal autocorrelation property ; Run structure ; Autocorrelation ; Hamming distance ; Information theory ; Surveys ; Autocorrelation properties ; Balance property ; Circulant matrix ; Hamming weights ; PN sequence ; Matrix algebra
  8. Source: IWCIT 2015 - Iran Workshop on Communication and Information Theory, 6 May 2015 through 7 May 2015 ; May , 2015 ; 9781479982356 (ISBN)
  9. URL: http://ieeexplore.ieee.org/document/7140218