A Review of Higher Order Statistics and Spectra in Communication Systems

Muhammad Sanaullah
Muhammad Sanaullah * §
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§ Purdue University Calumet

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A Review of Higher Order Statistics and Spectra in Communication Systems

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J3PB5

DOI
10.34257/GJSFRAVOL13IS4PG31
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Abstract

There are many statistical tools to extract information from random signals. They predominantly use first and second order statistics. However, in the presence of nonlinearity in systems, many signals cannot be analyzed adequately by second order statistical methods. For this reason, higher order statistical methods have been developed. These methods are very useful in problems where non-Gaussian, non-minimum phase, phase coupling or nonlinear behavior and robustness to additive noise are important. Detection and classification using higher order statistical and spectral techniques have been proposed for use in communication and pattern recognition. They have the potential to elicit better performance from sensors, sensor networks and channels with applications in coding, filtering and detection techniques. This paper provides an introduction to higher order spectra and reviews a number of these techniques.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Muhammad Sanaullah. 1970. "A Review of Higher Order Statistics and Spectra in Communication Systems". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 13 (GJSFR Volume 13 Issue A4).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
bispectrumEntropyfadinghigh order statisticshigher order spectrainterferenceinvariant
Classification
GJSFR-A Classification FOR Code: 010401
  • Submission ReceivedApril 19, 2013
  • Peer Review Double Blind
    Handling Editor
  • Accepted May 14, 2013
  • Published May 26, 2013
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v1.2

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English
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A Review of Higher Order Statistics and Spectra in Communication Systems

Muhammad Sanaullah
Muhammad Sanaullah Purdue University Calumet
  • Submission ReceivedApril 19, 2013
  • Peer Review Double Blind
    Handling Editor
  • Accepted May 14, 2013
  • Published May 26, 2013