scholarly journals Advanced power grid analysis in metallurgical plants with usage of discrete Fourier transform

2019 ◽  
Author(s):  
Ondřej GRYCZ ◽  
Vít PASKER ◽  
Robert HLAVICA ◽  
Hana ŠPAČKOVÁ ◽  
Martin MENŠÍK
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Power Grid ◽  
Grid Analysis

scholarly journals A Fourier based algorithm to estimate the period of a sampled signal

2018 ◽  
Vol 11 (2) ◽  
pp. 152-160
Author(s):  
José Danilo Rairán Antolines
Keyword(s):  
Fourier Transform ◽  
Real Time ◽  
Discrete Fourier Transform ◽  
Upper Bound ◽  
Power Grid ◽  
Noisy Data ◽  
Physiological Signals ◽  
Sampled Signal ◽  
Null Value ◽  
Data Length

Given a sampled signal, in general, is not possible to compute its period, but just an approximation. We propose an algorithm to approximate the period, based on the Discrete Fourier Transform. If that transformation uses data length for multiples of the true period, some of its harmonics have null value. Thus, the best candidate to be a multiple of the period minimizes the value of those harmonics. The validation for noiseless data shows an upper bound in the error equal to a quarter of the time between two consecutive samples, whereas the result for noisy data demonstrates robustness. As application, the algorithm estimates the period of physiological signals, and tracks the frequency of the power grid in real time, which evidence its versatility

APPLICATION OF UNCONVENTIONAL METHODS FOR FREQUENCY ANALYSIS IN ACOUSTICS

Akustika ◽  
2020 ◽  
Vol 36 (36) ◽  
pp. 25-32
Author(s):  
Jaroslav Smutný ◽  
Dušan Janoštík ◽  
Viktor Nohál
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Frequency Analysis ◽  
Mathematical Analysis ◽  
Measured Data ◽  
Application Area ◽  
Acoustic Response ◽  
Recommendations For Practice ◽  
Unconventional Methods ◽  
Frequency Area

The goal of this study is to familiarize a wider professional public with not fully known procedures suitable for processing measured data in the frequency area. Described is the use of the so-called Multi-taper method to analyze the acoustic response. This transformation belongs to a group of nonparametric methods outgoing from discrete Fourier transform, and this study includes its mathematical analysis and description. In addition, the use of respective method in a specific application area and recommendations for practice are described.

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