🚀 go-pugleaf

In article <Nov.8.16.32.08.1989.2581@caip.rutgers.edu> fineberg@caip.rutgers.edu (Adam B. Fineberg) writes:
>only be improved by increasing the observation time.  Localizing in
>frequency is always inversely proportional to localizing in time (the
>uncertainty principle).  Therefore if you want to localize in
>frequency (have better resolution) you must give up localization in
>time (use longer observation time).  Without some form of constrained
>optimization that is the best you can hope for.

The Wigner Distribution permits excellent time-frequency localization,
far surpassing an FFT in this regard.  Certain other difficulties 
arise with the Wigner Distribution (WD), primarily the generation
of cross-term interference which looks like signal energy where 
there is none.  But the cross-term interference occurs at well
defined time-frequency locations and as such its effect can 
be avoided in many circumstances.  

The time-frequency localization avoids smearing in time and frequency.
Highly precise characterizations of nonstationary signals may
be gained using the WD, or Discrete WD (DWD).

Greg Harrison
My opinions are not intended to reflect those of GE.