### Abstract

The commonly used discrete-time analytic signal for discrete time-frequency distributions (DTFDs) contains spectral energy at negative frequencies which results in aliasing in the DTFD. A new discrete-time analytic signal is proposed that approximately halves this spectral energy at the appropriate discrete negative frequencies. An empirical comparison shows that aliasing is reduced in the DTFD using the proposed analytic signal rather than the conventional analytic signal. The time domain characteristics of the two analytic signals are compared using an impulse signal as an example, where the DTFD of the conventional signal produces more artefacts than the DTFD of the proposed analytic signal. Furthermore, the proposed discrete signal satisfies two important properties, namely the real part of the analytic signal is equal to the original real signal and the real and imaginary parts are orthogonal.

Original language | English |
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Title of host publication | 15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings |

Pages | 591-595 |

Number of pages | 5 |

Publication status | Published - 2007 |

Event | 15th European Signal Processing Conference, EUSIPCO 2007 - Poznan, Poland Duration: Sep 3 2007 → Sep 7 2007 |

### Other

Other | 15th European Signal Processing Conference, EUSIPCO 2007 |
---|---|

Country | Poland |

City | Poznan |

Period | 9/3/07 → 9/7/07 |

### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering

### Cite this

*15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings*(pp. 591-595)

**A new discrete-time analytic signal for reducing aliasing in discrete time-frequency distributions.** / O'Toole, John M.; Mesbah, Mostefa; Boashash, Boualem.

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

*15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings.*pp. 591-595, 15th European Signal Processing Conference, EUSIPCO 2007, Poznan, Poland, 9/3/07.

}

TY - GEN

T1 - A new discrete-time analytic signal for reducing aliasing in discrete time-frequency distributions

AU - O'Toole, John M.

AU - Mesbah, Mostefa

AU - Boashash, Boualem

PY - 2007

Y1 - 2007

N2 - The commonly used discrete-time analytic signal for discrete time-frequency distributions (DTFDs) contains spectral energy at negative frequencies which results in aliasing in the DTFD. A new discrete-time analytic signal is proposed that approximately halves this spectral energy at the appropriate discrete negative frequencies. An empirical comparison shows that aliasing is reduced in the DTFD using the proposed analytic signal rather than the conventional analytic signal. The time domain characteristics of the two analytic signals are compared using an impulse signal as an example, where the DTFD of the conventional signal produces more artefacts than the DTFD of the proposed analytic signal. Furthermore, the proposed discrete signal satisfies two important properties, namely the real part of the analytic signal is equal to the original real signal and the real and imaginary parts are orthogonal.

AB - The commonly used discrete-time analytic signal for discrete time-frequency distributions (DTFDs) contains spectral energy at negative frequencies which results in aliasing in the DTFD. A new discrete-time analytic signal is proposed that approximately halves this spectral energy at the appropriate discrete negative frequencies. An empirical comparison shows that aliasing is reduced in the DTFD using the proposed analytic signal rather than the conventional analytic signal. The time domain characteristics of the two analytic signals are compared using an impulse signal as an example, where the DTFD of the conventional signal produces more artefacts than the DTFD of the proposed analytic signal. Furthermore, the proposed discrete signal satisfies two important properties, namely the real part of the analytic signal is equal to the original real signal and the real and imaginary parts are orthogonal.

UR - http://www.scopus.com/inward/record.url?scp=54949088197&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=54949088197&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9788392134022

SP - 591

EP - 595

BT - 15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings

ER -