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Related Concept Videos

Fast Fourier Transform01:10

Fast Fourier Transform

The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
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Trigonometric Fourier series01:17

Trigonometric Fourier series

Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
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Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
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Properties of Fourier series II01:21

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Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
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Benchmark method for selecting FFT windows in harmonic measurements.

D C Pham1, Tuan Ngoc Anh Nguyen1

  • 1Department of Electrical Engineering, Industrial University, located in Ho Chi Minh City, Vietnam.

Methodsx
|June 8, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a benchmark for selecting Fast Fourier Transform (FFT) windows in harmonic measurements. It provides a quantitative ranking to identify the best FFT window for accurate short-duration measurements.

Keywords:
APS1000FFT windowHarmonic measurementSpectral leakageTHD

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Area of Science:

  • Electrical Engineering
  • Signal Processing
  • Metrology

Background:

  • Accurate harmonic measurements are crucial for power quality analysis.
  • Selecting appropriate Fast Fourier Transform (FFT) windows is vital for short-duration measurements.
  • Existing methods lack a standardized, measurement-oriented benchmark for FFT window selection.

Purpose of the Study:

  • To develop a reproducible and measurement-oriented benchmark for evaluating FFT windows in harmonic measurements.
  • To establish criteria for assessing FFT window performance under short-duration conditions.
  • To propose a quantitative method for selecting the optimal FFT window.

Main Methods:

  • Developed a performance formulation based on harmonic-related error, THD (Total Harmonic Distortion) deviation, and cross-case consistency.
  • Created a quantitative ranking system by aggregating performance criteria into an overall score.
  • Validated the proposed method using APS1000 records under various challenging conditions, including noise contamination.

Main Results:

  • Established a clear, quantitative rule for FFT window selection based on defined performance metrics.
  • Demonstrated the benchmark's effectiveness in identifying suitable FFT windows for short-duration harmonic measurements.
  • Validated the methodology using real-world data and simulated noise-augmented scenarios.

Conclusions:

  • The proposed benchmark provides a reproducible and effective approach for FFT window selection in harmonic measurements.
  • The quantitative ranking system simplifies the choice of the most suitable FFT window.
  • The validated method enhances the accuracy and reliability of short-duration harmonic analysis.