Wigner-ville distribution ?

[Pavan Kumar B]

Sir,

Wigner-ville distribution theortically offers excellent  time frequency resolution i.e doesn't smear signal energy .

I would like to know Wavelets is better   or Wigner-ville distribution is better  ? 

[NOC16 March - May]

Hi Pavan,

This is the same reply that i had posted to you for your other query. I hope this would resolve your concerns posted here. 

The main Two issues with the Wigner Ville distribution are : 

Non-linearity of the Wigner Ville distribution and the presence of cross-terms also called as the "beats" in the literature. Although Wigner distribution provided a fascinating link between  time and frequency domain in signal analysis, its interference terms are seen by many as unwanted artifacts. Onebig appalling reason for the use of Wigner distribution is that  it can be computed very efficiently using the FFT algorithm.

There is a much more evolved framework for discretization - analysis and synthesis in wavelets, based on multirate filter banks. This is one of the major advantages that wavelets have got. I hope that this would resolve some of your doubts.

Thanks

TA