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

John M. O'Toole, Mostefa Mesbah, Boualem Boashash

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publication15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings
Pages591-595
Number of pages5
Publication statusPublished - 2007
Event15th European Signal Processing Conference, EUSIPCO 2007 - Poznan, Poland
Duration: Sep 3 2007Sep 7 2007

Other

Other15th European Signal Processing Conference, EUSIPCO 2007
CountryPoland
CityPoznan
Period9/3/079/7/07

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

O'Toole, J. M., Mesbah, M., & Boashash, B. (2007). A new discrete-time analytic signal for reducing aliasing in discrete time-frequency distributions. In 15th European Signal Processing Conference, EUSIPCO 2007 - Proceedings (pp. 591-595)