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Re: About importance of "phase" in sound recognition

On Thu, 7 Oct 2010, ita katz wrote:

> A delta function can be built from a linear combination of periodic signals,
> and it is definitely a signal 'with onset'.

I that case each component will have its own phase, but the sum (the delta
function) has no phase, because it is not periodic. So my point was that
while it makes sense to talk about the phase of (periodic!!) components,
you should be careful when talking about the phase of a complex. Many
people are willing to forget about it.

> Or, In the same spirit, an onset can be periodically-extended by repeating
> it infinitely into the past and the future,

Yes, and it turns it into a periodic function, which does have phase.
But it no longer has an onset, as it extends infinitely into the past...

> and then it can be represented  as a sum of countable (possibly
> infinite) number of periodic components.

Again, I wasn't talking about its components, I was talking about the
signal itself.

               Laszlo Toth
        Hungarian Academy of Sciences         *
  Research Group on Artificial Intelligence   *   "Failure only begins
     e-mail: tothl@xxxxxxxxxxxxxxx            *    when you stop trying"
     http://www.inf.u-szeged.hu/~tothl        *