Theoretical Background of the Bispectral Analysis

1080 Views
850 Downloads
Export citation: ABNT
SIMONOVSKI, Igor ;BOLTEŽAR, Miha ;KUHELJ, Anton .
Theoretical Background of the Bispectral Analysis. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 45, n.1, p. 12-24, july 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/>. Date accessed: 17 sep. 2021. 
doi:http://dx.doi.org/.
Simonovski, I., Boltežar, M., & Kuhelj, A.
(1999).
Theoretical Background of the Bispectral Analysis.
Strojniški vestnik - Journal of Mechanical Engineering, 45(1), 12-24.
doi:http://dx.doi.org/
@article{.,
	author = {Igor  Simonovski and Miha  Boltežar and Anton  Kuhelj},
	title = {Theoretical Background of the Bispectral Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {45},
	number = {1},
	year = {1999},
	keywords = {bispectra; skewness function; estimates; bicoherence squared; },
	abstract = {Thrd-order cumulant spectrum i.e. bispectrum is defined as a 2D Fourier transform of-the third-order cumlant. Alternatively bispectrum can be calculated as a product of Fourier transform at three distinct frequencies. Due to the sensitivity of the bispectrum's estimate to the second order properties of the signal, normalized bispectra such as skewness function and bicoherence squared are often used. Unfortunately the side effect of the normalizing process is the sensibility of the skewness function and biconherence squared to the Gaussian noise. In this paper basic estimation issues are presented and recommendations for estimating bispectra are given. In the last part of the paper bispectral analysis is used to analyze quadratic nonlinearities of the washing machine's washing part  },
	issn = {0039-2480},	pages = {12-24},	doi = {},
	url = {https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/}
}
Simonovski, I.,Boltežar, M.,Kuhelj, A.
1999 July 45. Theoretical Background of the Bispectral Analysis. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 45:1
%A Simonovski, Igor 
%A Boltežar, Miha 
%A Kuhelj, Anton 
%D 1999
%T Theoretical Background of the Bispectral Analysis
%B 1999
%9 bispectra; skewness function; estimates; bicoherence squared; 
%! Theoretical Background of the Bispectral Analysis
%K bispectra; skewness function; estimates; bicoherence squared; 
%X Thrd-order cumulant spectrum i.e. bispectrum is defined as a 2D Fourier transform of-the third-order cumlant. Alternatively bispectrum can be calculated as a product of Fourier transform at three distinct frequencies. Due to the sensitivity of the bispectrum's estimate to the second order properties of the signal, normalized bispectra such as skewness function and bicoherence squared are often used. Unfortunately the side effect of the normalizing process is the sensibility of the skewness function and biconherence squared to the Gaussian noise. In this paper basic estimation issues are presented and recommendations for estimating bispectra are given. In the last part of the paper bispectral analysis is used to analyze quadratic nonlinearities of the washing machine's washing part  
%U https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/
%0 Journal Article
%R 
%& 12
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 45
%N 1
%@ 0039-2480
%8 2017-07-07
%7 2017-07-07
Simonovski, Igor, Miha  Boltežar, & Anton  Kuhelj.
"Theoretical Background of the Bispectral Analysis." Strojniški vestnik - Journal of Mechanical Engineering [Online], 45.1 (1999): 12-24. Web.  17 Sep. 2021
TY  - JOUR
AU  - Simonovski, Igor 
AU  - Boltežar, Miha 
AU  - Kuhelj, Anton 
PY  - 1999
TI  - Theoretical Background of the Bispectral Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - bispectra; skewness function; estimates; bicoherence squared; 
N2  - Thrd-order cumulant spectrum i.e. bispectrum is defined as a 2D Fourier transform of-the third-order cumlant. Alternatively bispectrum can be calculated as a product of Fourier transform at three distinct frequencies. Due to the sensitivity of the bispectrum's estimate to the second order properties of the signal, normalized bispectra such as skewness function and bicoherence squared are often used. Unfortunately the side effect of the normalizing process is the sensibility of the skewness function and biconherence squared to the Gaussian noise. In this paper basic estimation issues are presented and recommendations for estimating bispectra are given. In the last part of the paper bispectral analysis is used to analyze quadratic nonlinearities of the washing machine's washing part  
UR  - https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/
@article{{}{.},
	author = {Simonovski, I., Boltežar, M., Kuhelj, A.},
	title = {Theoretical Background of the Bispectral Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {45},
	number = {1},
	year = {1999},
	doi = {},
	url = {https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/}
}
TY  - JOUR
AU  - Simonovski, Igor 
AU  - Boltežar, Miha 
AU  - Kuhelj, Anton 
PY  - 2017/07/07
TI  - Theoretical Background of the Bispectral Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 45, No 1 (1999): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - bispectra, skewness function, estimates, bicoherence squared, 
N2  - Thrd-order cumulant spectrum i.e. bispectrum is defined as a 2D Fourier transform of-the third-order cumlant. Alternatively bispectrum can be calculated as a product of Fourier transform at three distinct frequencies. Due to the sensitivity of the bispectrum's estimate to the second order properties of the signal, normalized bispectra such as skewness function and bicoherence squared are often used. Unfortunately the side effect of the normalizing process is the sensibility of the skewness function and biconherence squared to the Gaussian noise. In this paper basic estimation issues are presented and recommendations for estimating bispectra are given. In the last part of the paper bispectral analysis is used to analyze quadratic nonlinearities of the washing machine's washing part  
UR  - https://www.sv-jme.eu/article/theoretical-background-of-the-bispectral-analysis/
Simonovski, Igor, Boltežar, Miha, AND Kuhelj, Anton.
"Theoretical Background of the Bispectral Analysis" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 45 Number 1 (07 July 2017)

Authors

Affiliations

  • University of Ljubljana, Faculty of Mechanical Engineering, Ljubljana, Slovenia
  • University of Ljubljana, Faculty of Mechanical Engineering, Ljubljana, Slovenia
  • University of Ljubljana, Faculty of Mechanical Engineering, Ljubljana, Slovenia

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 45(1999)1, 12-24

Thrd-order cumulant spectrum i.e. bispectrum is defined as a 2D Fourier transform of-the third-order cumlant. Alternatively bispectrum can be calculated as a product of Fourier transform at three distinct frequencies. Due to the sensitivity of the bispectrum's estimate to the second order properties of the signal, normalized bispectra such as skewness function and bicoherence squared are often used. Unfortunately the side effect of the normalizing process is the sensibility of the skewness function and biconherence squared to the Gaussian noise. In this paper basic estimation issues are presented and recommendations for estimating bispectra are given. In the last part of the paper bispectral analysis is used to analyze quadratic nonlinearities of the washing machine's washing part  

bispectra; skewness function; estimates; bicoherence squared;