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The Effect of Sample Size on the Interpolation Algorithm of Frequency Estimation.

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Title: The Effect of Sample Size on the Interpolation Algorithm of Frequency Estimation.
Authors: Hammood, Husam1 husam.f.hammood@utq.edu.iq, Ali, Ameer H.2, Aklo, Nabil Jalil3
Source: Iraqi Journal for Electrical & Electronic Engineering. Jun2025, Vol. 21 Issue 1, p156-161. 6p.
Subjects: Fast Fourier transforms, Spectral lines, Sample size (Statistics), Computer simulation
Abstract (English): Fast and accurate frequency estimation is essential in various engineering applications, including control systems, communications, and resonance sensing systems. This study investigates the effect of sample size on the interpolation algorithm of frequency estimation. In order to enhance the accuracy of frequency estimation and performance, we describe a novel method that provides a number of approaches for calculating and defending the sample size for of the window function designs, whereas, the correct choice of the type and the size of the window function makes it possible to reduce the error. Computer simulation using Matlab / Simulink environment is performed to investigate the proposed procedure's performance and feasibility. This study performs the comparison of the interpolation algorithm of frequency estimation strategies that can be applied to improve the accuracy of the frequency estimation. Simulation results shown that the proposed strategy with the Parzen and Flat-top gave remarkable change in the maximum error of frequency estimation. They perform better than the conventional windows at a sample size equal to 64 samples, where the maximum error of frequency estimation is 2.13e-2, and 2.15e-2 for Parzen and Flat-top windows, respectively. Moreover, the efficiency and performance of the Nuttall window also perform better than other windows, where the maximum error is 7.76x10-5 at a sample size equal to 8192. The analysis of simulation result showed that when using the proposed strategy to improve the accuracy of the frequency estimation, it is first essential to evaluate what is the maximum number of samples that can be obtained, how many spectral lines should be used in the calculations, and only after that choose a suitable window. [ABSTRACT FROM AUTHOR]
Abstract (Arabic): المقال يركز على نشر المجلد 21، العدد 1 من المجلة الدولية للهندسة الكهربائية والإلكترونية (IJEEE). يوفر الوصول إلى مجموعة من الأبحاث والمقالات ضمن هذا العدد، مع تسليط الضوء على التقدم والدراسات في مجال الهندسة الكهربائية والإلكترونية. يتضمن الوثيقة روابط إلى صفحات محددة حيث يمكن للقراء العثور على معلومات مفصلة حول المواضيع التي تم تناولها. يعتبر هذا العدد مصدرًا للباحثين والممارسين الذين يسعون للبقاء على اطلاع حول التطورات الأخيرة في هذا التخصص. [Extracted from the article]
Copyright of Iraqi Journal for Electrical & Electronic Engineering is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Group: Ti
  Data: The Effect of Sample Size on the Interpolation Algorithm of Frequency Estimation.
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  Data: <searchLink fieldCode="AR" term="%22Hammood%2C+Husam%22">Hammood, Husam</searchLink><relatesTo>1</relatesTo><i> husam.f.hammood@utq.edu.iq</i><br /><searchLink fieldCode="AR" term="%22Ali%2C+Ameer+H%2E%22">Ali, Ameer H.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Aklo%2C+Nabil+Jalil%22">Aklo, Nabil Jalil</searchLink><relatesTo>3</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Iraqi+Journal+for+Electrical+%26+Electronic+Engineering%22">Iraqi Journal for Electrical & Electronic Engineering</searchLink>. Jun2025, Vol. 21 Issue 1, p156-161. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Fast+Fourier+transforms%22">Fast Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+lines%22">Spectral lines</searchLink><br /><searchLink fieldCode="DE" term="%22Sample+size+%28Statistics%29%22">Sample size (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: Fast and accurate frequency estimation is essential in various engineering applications, including control systems, communications, and resonance sensing systems. This study investigates the effect of sample size on the interpolation algorithm of frequency estimation. In order to enhance the accuracy of frequency estimation and performance, we describe a novel method that provides a number of approaches for calculating and defending the sample size for of the window function designs, whereas, the correct choice of the type and the size of the window function makes it possible to reduce the error. Computer simulation using Matlab / Simulink environment is performed to investigate the proposed procedure's performance and feasibility. This study performs the comparison of the interpolation algorithm of frequency estimation strategies that can be applied to improve the accuracy of the frequency estimation. Simulation results shown that the proposed strategy with the Parzen and Flat-top gave remarkable change in the maximum error of frequency estimation. They perform better than the conventional windows at a sample size equal to 64 samples, where the maximum error of frequency estimation is 2.13e-2, and 2.15e-2 for Parzen and Flat-top windows, respectively. Moreover, the efficiency and performance of the Nuttall window also perform better than other windows, where the maximum error is 7.76x10-5 at a sample size equal to 8192. The analysis of simulation result showed that when using the proposed strategy to improve the accuracy of the frequency estimation, it is first essential to evaluate what is the maximum number of samples that can be obtained, how many spectral lines should be used in the calculations, and only after that choose a suitable window. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (Arabic)
  Group: Ab
  Data: المقال يركز على نشر المجلد 21، العدد 1 من المجلة الدولية للهندسة الكهربائية والإلكترونية (IJEEE). يوفر الوصول إلى مجموعة من الأبحاث والمقالات ضمن هذا العدد، مع تسليط الضوء على التقدم والدراسات في مجال الهندسة الكهربائية والإلكترونية. يتضمن الوثيقة روابط إلى صفحات محددة حيث يمكن للقراء العثور على معلومات مفصلة حول المواضيع التي تم تناولها. يعتبر هذا العدد مصدرًا للباحثين والممارسين الذين يسعون للبقاء على اطلاع حول التطورات الأخيرة في هذا التخصص. [Extracted from the article]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Iraqi Journal for Electrical & Electronic Engineering is the property of Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.37917/ijeee.21.1.15
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 156
    Subjects:
      – SubjectFull: Fast Fourier transforms
        Type: general
      – SubjectFull: Spectral lines
        Type: general
      – SubjectFull: Sample size (Statistics)
        Type: general
      – SubjectFull: Computer simulation
        Type: general
    Titles:
      – TitleFull: The Effect of Sample Size on the Interpolation Algorithm of Frequency Estimation.
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            NameFull: Hammood, Husam
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            NameFull: Ali, Ameer H.
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            NameFull: Aklo, Nabil Jalil
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            – D: 01
              M: 06
              Text: Jun2025
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              Y: 2025
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