Comments on 'A high resolution quadratic time-frequency distribution for multicomponent signals analysis'

For original paper see Barkat and Boashash (IEEE Trans. Signal Processing, vol.49, p.2232-9, 2001). It is shown that the time-frequency distribution (TFD) proposed in the above paper is not well defined in the ordinary sense for power signals, including the single-tone sinusoid, and it needs the introduction of generalized functions and transforms. It is also shown that the proposed TFD does not satisfy the conditions cited by the authors of the paper to justify the claim that it has the instantaneous frequency property

An investigation into frequency resolution estimation model for impact signal analysis by using Hilbert spectrum and condition classification for marine diesel engine

In this paper, frequency resolution determination method is investigated according to Hilbert spectrum performance for impact signal analysis. A new constructed performance estimation model for the best frequency resolution is put forward in this research for the impact signal pattern recognition. Different parameters in the time-frequency distribution by using Hilbert spectrum are considered in this estimation model for the best frequency resolution determination. To verify the effectiveness of this estimation model, numerical simulation is used for Hilbert spectrum construction analysis. At the same time, different marine diesel engine working condition signals analysis are also used to illustrate the methodology developed in this research and verify the effectiveness. It can be concluded that this method can contribute the development for impact signal analysis by using Hilbert spectrum

Reply to Comments on 'A high-resolution quadratic time-frequency distribution for multicomponent signals analysis'

The author replies to the paper by Hussain (IEEE Trans. Signal Processing, vol. 52, no.1, p.287-90, 2004) which commented on the paper by Barkat and Boashash (IEEE Trans. Signal Processing, vol.49, p.2232-9, 2001). The points raised by Hussain are considered one at a time