On the autocorrelation properties of truncated maximum-length sequences and their effect on the power spectrum

Marco Baldi, Franco Chiaraluce, Noureddine Boujnah, Roberto Garello

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Truncated maximum-length binary sequences are studied in this paper. The impact of truncation on their autocorrelation properties and power spectral density is investigated. Several new analytical results are given and validated through simulation. The first- and second-order statistics of the periodic autocorrelation function and the spectral peak amplitudes over the ensemble of all possible starting seeds are analyzed. Explicit bounds are found for the mean square of the periodic autocorrelation function. An analytical technique for evaluating the maximum spectral peak values is derived. As a case study, high data rate space links using LFSR randomizers are considered. Truncation may induce high peaks in the spectrum, requiring suitable margins to comply with power flux density constraints. The new results allow to analytically estimate the margin, providing useful information for the link design.

Original languageEnglish
Article number5557829
Pages (from-to)6284-6297
Number of pages14
JournalIEEE Transactions on Signal Processing
Volume58
Issue number12
DOIs
Publication statusPublished - Dec 2010
Externally publishedYes

Keywords

  • Linear feedback shift registers
  • maximum-length sequences
  • periodic autocorrelation function
  • truncation noise

Fingerprint

Dive into the research topics of 'On the autocorrelation properties of truncated maximum-length sequences and their effect on the power spectrum'. Together they form a unique fingerprint.

Cite this