Fast 10-Point DFT Algorithm for Power System Harmonic Analysis

This article presents an efficient algorithm for computing a 10-point DFT. The proposed algorithm reduces the number of multiplications at the cost of a slight increase in the number of additions in comparison with the known algorithms. Using a 10-point DFT for harmonic power system analysis can imp...

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Bibliographic Details
Main Authors: Janusz P. Paplinski, Aleksandr Cariow
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/15/7007
Description
Summary:This article presents an efficient algorithm for computing a 10-point DFT. The proposed algorithm reduces the number of multiplications at the cost of a slight increase in the number of additions in comparison with the known algorithms. Using a 10-point DFT for harmonic power system analysis can improve accuracy and reduce errors caused by spectral leakage. This paper compares the computational complexity for an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>L</mi><mo>×</mo><msup><mn>10</mn><mi>M</mi></msup></mrow></semantics></math></inline-formula>-point DFT with a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>2</mn><mi>M</mi></msup></semantics></math></inline-formula>-point DFT.
ISSN:2076-3417