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.

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M3 - Conference contribution

AN - SCOPUS:54949088197

SN - 9788392134022

T3 - European Signal Processing Conference

SP - 591

EP - 595

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

T2 - 15th European Signal Processing Conference, EUSIPCO 2007

Y2 - 3 September 2007 through 7 September 2007

ER -