A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR

Hiroshi Kanai; Noriyoshi Chubachi; Hideo Suzuki

doi:10.1109/ICASSP.1992.226662

A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR

Hiroshi Kanai, Noriyoshi Chubachi, Hideo Suzuki

ENG - Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

Described is a new method to evaluate theoretically and quantitatively the estimation error (bias error and variance) of the periodicity analysis when the fast Fourier transform (FFT) is applied to a sinusoidal signal in arbitrary signal-To-noise ratio (SNR) cases and when various windows are employed. The resultant quantitative evaluation of the estimation error is useful in many applications of various field to evaluate the bias error and uncertainty in the obtained spectrum. This method is also applied to design the optimum window function to minimize windowing defects, especially for short-length signals. Thus, the evaluation method proposed should play a significant role in the field of nonparametric spectrum estimation.

Original language	English
Title of host publication	ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	45-48
Number of pages	4
ISBN (Electronic)	0780305329
DOIs	https://doi.org/10.1109/ICASSP.1992.226662
Publication status	Published - 1992
Event	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States Duration: 1992 Mar 23 → 1992 Mar 26

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	5
ISSN (Print)	1520-6149

Conference

Conference	1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/Territory	United States
City	San Francisco
Period	92/3/23 → 92/3/26

Access to Document

10.1109/ICASSP.1992.226662

Cite this

Kanai, H., Chubachi, N., & Suzuki, H. (1992). A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing (pp. 45-48). Article 226662 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.1992.226662

Kanai, Hiroshi ; Chubachi, Noriyoshi ; Suzuki, Hideo. / A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR. ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 45-48 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

@inproceedings{c17c423b3532409683af97b84dabe7b9,

title = "A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR",

abstract = "Described is a new method to evaluate theoretically and quantitatively the estimation error (bias error and variance) of the periodicity analysis when the fast Fourier transform (FFT) is applied to a sinusoidal signal in arbitrary signal-To-noise ratio (SNR) cases and when various windows are employed. The resultant quantitative evaluation of the estimation error is useful in many applications of various field to evaluate the bias error and uncertainty in the obtained spectrum. This method is also applied to design the optimum window function to minimize windowing defects, especially for short-length signals. Thus, the evaluation method proposed should play a significant role in the field of nonparametric spectrum estimation.",

author = "Hiroshi Kanai and Noriyoshi Chubachi and Hideo Suzuki",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 ; Conference date: 23-03-1992 Through 26-03-1992",

year = "1992",

doi = "10.1109/ICASSP.1992.226662",

language = "English",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "45--48",

booktitle = "ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing",

address = "United States",

}

Kanai, H, Chubachi, N & Suzuki, H 1992, A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR. in ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing., 226662, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 5, Institute of Electrical and Electronics Engineers Inc., pp. 45-48, 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992, San Francisco, United States, 92/3/23. https://doi.org/10.1109/ICASSP.1992.226662

A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR. / Kanai, Hiroshi; Chubachi, Noriyoshi; Suzuki, Hideo.
ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc., 1992. p. 45-48 226662 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR

AU - Kanai, Hiroshi

AU - Chubachi, Noriyoshi

AU - Suzuki, Hideo

PY - 1992

Y1 - 1992

N2 - Described is a new method to evaluate theoretically and quantitatively the estimation error (bias error and variance) of the periodicity analysis when the fast Fourier transform (FFT) is applied to a sinusoidal signal in arbitrary signal-To-noise ratio (SNR) cases and when various windows are employed. The resultant quantitative evaluation of the estimation error is useful in many applications of various field to evaluate the bias error and uncertainty in the obtained spectrum. This method is also applied to design the optimum window function to minimize windowing defects, especially for short-length signals. Thus, the evaluation method proposed should play a significant role in the field of nonparametric spectrum estimation.

AB - Described is a new method to evaluate theoretically and quantitatively the estimation error (bias error and variance) of the periodicity analysis when the fast Fourier transform (FFT) is applied to a sinusoidal signal in arbitrary signal-To-noise ratio (SNR) cases and when various windows are employed. The resultant quantitative evaluation of the estimation error is useful in many applications of various field to evaluate the bias error and uncertainty in the obtained spectrum. This method is also applied to design the optimum window function to minimize windowing defects, especially for short-length signals. Thus, the evaluation method proposed should play a significant role in the field of nonparametric spectrum estimation.

UR - http://www.scopus.com/inward/record.url?scp=84941864529&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941864529&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.1992.226662

DO - 10.1109/ICASSP.1992.226662

M3 - Conference contribution

AN - SCOPUS:84941864529

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 45

EP - 48

BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992

Y2 - 23 March 1992 through 26 March 1992

ER -

Kanai H, Chubachi N, Suzuki H. A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR. In ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Institute of Electrical and Electronics Engineers Inc. 1992. p. 45-48. 226662. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1992.226662

A method to evaluate accuracy of FFT-based periodicity analysis for short length signal in low SNR

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this