Fractional fourier transform and its application to engine knock detection

Jerzy Fiolka

doi:10.1109/MIXDES.2015.7208593

Fractional fourier transform and its application to engine knock detection

Jerzy Fiolka

Department of Electronics; Electrical Engineering and Microelectronics (RAU/RAU11)

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

2 Citations (Scopus)

Abstract

The fractional Fourier transform (FRFT) is a generalization of the well-known Fourier transform. The FRFT depends on an order parameter a and can be interpreted as an a-th power of the ordinary Fourier transform operator. This tool has found widespread applications in areas such as optics, wave propagation analysis, signal and image procebing, solving of differential equations, mechanical vibrations analysis, quantum mechanics. The paper focuses on the use of FRFT in an automotive application to estimation of the knock intensity in a spark ignition engine. The obtained results demonstrate that the proposed method provides high accuracy with low computational complexity.

Original language	English
Title of host publication	Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015
Editors	Andrzej Napieralski
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	595-598
Number of pages	4
ISBN (Electronic)	9788363578060
DOIs	https://doi.org/10.1109/MIXDES.2015.7208593
Publication status	Published - 17 Aug 2015
Event	22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015 - Torun, Poland Duration: 25 Jun 2015 → 27 Jun 2015

Publication series

Name	Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015

Conference

Conference	22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015
Country/Territory	Poland
City	Torun
Period	25/06/15 → 27/06/15

Keywords

Signal procebing
automotive electronics
fractional Fourier transform
knock detection
time-frequency analysis

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/MIXDES.2015.7208593

Cite this

Fiolka, J. (2015). Fractional fourier transform and its application to engine knock detection. In A. Napieralski (Ed.), Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015 (pp. 595-598). Article 7208593 (Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MIXDES.2015.7208593

Fiolka, Jerzy. / Fractional fourier transform and its application to engine knock detection. Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015. editor / Andrzej Napieralski. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 595-598 (Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015).

@inproceedings{67bb045845a24791b4931ada3af7eee6,

title = "Fractional fourier transform and its application to engine knock detection",

abstract = "The fractional Fourier transform (FRFT) is a generalization of the well-known Fourier transform. The FRFT depends on an order parameter a and can be interpreted as an a-th power of the ordinary Fourier transform operator. This tool has found widespread applications in areas such as optics, wave propagation analysis, signal and image procebing, solving of differential equations, mechanical vibrations analysis, quantum mechanics. The paper focuses on the use of FRFT in an automotive application to estimation of the knock intensity in a spark ignition engine. The obtained results demonstrate that the proposed method provides high accuracy with low computational complexity.",

keywords = "Signal procebing, automotive electronics, fractional Fourier transform, knock detection, time-frequency analysis",

author = "Jerzy Fiolka",

note = "Publisher Copyright: Copyright {\textcopyright} 2015 Department of Microelectronics and Computer Science, Lodz Univeristy of Technology.; 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015 ; Conference date: 25-06-2015 Through 27-06-2015",

year = "2015",

month = aug,

day = "17",

doi = "10.1109/MIXDES.2015.7208593",

language = "English",

series = "Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015",

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

pages = "595--598",

editor = "Andrzej Napieralski",

booktitle = "Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015",

address = "United States",

}

Fiolka, J 2015, Fractional fourier transform and its application to engine knock detection. in A Napieralski (ed.), Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015., 7208593, Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015, Institute of Electrical and Electronics Engineers Inc., pp. 595-598, 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015, Torun, Poland, 25/06/15. https://doi.org/10.1109/MIXDES.2015.7208593

Fractional fourier transform and its application to engine knock detection. / Fiolka, Jerzy.
Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015. ed. / Andrzej Napieralski. Institute of Electrical and Electronics Engineers Inc., 2015. p. 595-598 7208593 (Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015).

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

TY - GEN

T1 - Fractional fourier transform and its application to engine knock detection

AU - Fiolka, Jerzy

PY - 2015/8/17

Y1 - 2015/8/17

N2 - The fractional Fourier transform (FRFT) is a generalization of the well-known Fourier transform. The FRFT depends on an order parameter a and can be interpreted as an a-th power of the ordinary Fourier transform operator. This tool has found widespread applications in areas such as optics, wave propagation analysis, signal and image procebing, solving of differential equations, mechanical vibrations analysis, quantum mechanics. The paper focuses on the use of FRFT in an automotive application to estimation of the knock intensity in a spark ignition engine. The obtained results demonstrate that the proposed method provides high accuracy with low computational complexity.

AB - The fractional Fourier transform (FRFT) is a generalization of the well-known Fourier transform. The FRFT depends on an order parameter a and can be interpreted as an a-th power of the ordinary Fourier transform operator. This tool has found widespread applications in areas such as optics, wave propagation analysis, signal and image procebing, solving of differential equations, mechanical vibrations analysis, quantum mechanics. The paper focuses on the use of FRFT in an automotive application to estimation of the knock intensity in a spark ignition engine. The obtained results demonstrate that the proposed method provides high accuracy with low computational complexity.

KW - Signal procebing

KW - automotive electronics

KW - fractional Fourier transform

KW - knock detection

KW - time-frequency analysis

UR - https://www.scopus.com/pages/publications/84953775251

U2 - 10.1109/MIXDES.2015.7208593

DO - 10.1109/MIXDES.2015.7208593

M3 - Conference contribution

AN - SCOPUS:84953775251

T3 - Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015

SP - 595

EP - 598

BT - Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015

A2 - Napieralski, Andrzej

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015

Y2 - 25 June 2015 through 27 June 2015

ER -

Fiolka J. Fractional fourier transform and its application to engine knock detection. In Napieralski A, editor, Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 595-598. 7208593. (Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems, MIXDES 2015). doi: 10.1109/MIXDES.2015.7208593

Fractional fourier transform and its application to engine knock detection

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this