scholarly journals Fault pattern recognition of gas blower based on discrete Fourier transform interpolation algorithm

2017 ◽  
Vol 9 (3) ◽  
pp. 168781401769481
Author(s):  
Changgui Xie ◽  
Ping Chen
Keyword(s):  
Pattern Recognition ◽  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Interpolation Algorithm ◽  
Fault Pattern

Estimation of the Amplitude Square Using the Interpolated Discrete Fourier Transform

2011 ◽  
Vol 18 (4) ◽  
pp. 583-596 ◽  
Author(s):  
Tomaž Lušin ◽  
Dušan Agrež
Keyword(s):  
Fourier Transform ◽  
Lower Bound ◽  
Discrete Fourier Transform ◽  
Frequency Spectrum ◽  
Systematic Errors ◽  
Active Power ◽  
Interpolation Algorithm ◽  
Noise Propagation ◽  
Signal Component ◽  
Standard Deviations

Estimation of the Amplitude Square Using the Interpolated Discrete Fourier Transform To improve the estimation of active power, the possibility of estimating the amplitude square of a signal component using the interpolation of the squared amplitude discrete Fourier transform (DFT) coefficients is presented. As with an energy-based approach, the amplitude square can be estimated with the squared amplitude DFT coefficients around the component peak and a suitable interpolation algorithm. The use of the Hann window, for which the frequency spectrum is well known, and the three largest local amplitude DFT coefficients gives lower systematic errors in squared interpolated approach or in better interpolated squared approach than the energy-based approach, although the frequency has to be estimated in the first step. All investigated algorithms have almost the same noise propagation and the standard deviations are about two times larger than the Cramér-Rao lower bound.

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.

Sign in / Sign up

Export Citation Format

Share Document