Re: About importance of "phase" in sound recognition (ita katz )


Subject: Re: About importance of "phase" in sound recognition
From:    ita katz  <itakatz@xxxxxxxx>
Date:    Thu, 7 Oct 2010 13:11:31 +0200
List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>

--0003255767a6ca089b049204f457 Content-Type: text/plain; charset=ISO-8859-1 A delta function can be built from a linear combination of periodic signals, and it is definitely a signal 'with onset'. Or, In the same spirit, an onset can be periodically-extended by repeating it infinitely into the past and the future, and then it can be represented as a sum of countable (possibly infinite) number of periodic components. On Thu, Oct 7, 2010 at 12:49 PM, Laszlo Toth <tothl@xxxxxxxx> wrote: > On Thu, 7 Oct 2010, Parncutt, Richard (richard.parncutt@xxxxxxxx) > wrote: > > > So evolutionary-ecological theory predicts phase > > sensitivity in the onset, and insensitivity after that. > > Sorry for using your comment for this purpose, but I would like to point > on yet another source of confusion with the term "phase". Mathematically, > only periodic signals can have a phase, so anything that has an onset is > excluded. In this case you are talking about "delay" or "time shift". > Tha main diference is that phase shift is limited by the period length of > the periodic signal, while time shift can be of any size. > > (If I were a mathematician, I'd say that, as a periodic signal must be > infinite, no such signal can exist in real life...) > > Laszlo Toth > Hungarian Academy of Sciences * > Research Group on Artificial Intelligence * "Failure only begins > e-mail: tothl@xxxxxxxx * when you stop trying" > http://www.inf.u-szeged.hu/~tothl<http://www.inf.u-szeged.hu/%7Etothl> * > --0003255767a6ca089b049204f457 Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr">A delta function can be built from a linear combination of= periodic signals, and it is definitely a signal &#39;with onset&#39;. <br>= <br>Or, In the same spirit, an onset can be periodically-extended by repeat= ing it infinitely into the past and the future,=A0 and then it can be repre= sented as a sum of countable (possibly infinite) number of periodic compone= nts.<br> <br><div class=3D"gmail_quote">On Thu, Oct 7, 2010 at 12:49 PM, Laszlo Toth= <span dir=3D"ltr">&lt;<a href=3D"mailto:tothl@xxxxxxxx">tothl@xxxxxxxx= -szeged.hu</a>&gt;</span> wrote:<br><blockquote class=3D"gmail_quote" style= =3D"margin: 0pt 0pt 0pt 0.8ex; border-left: 1px solid rgb(204, 204, 204); p= adding-left: 1ex;"> On Thu, 7 Oct 2010, Parncutt, Richard (<a href=3D"mailto:richard.parncutt@xxxxxxxx= ni-graz.at">richard.parncutt@xxxxxxxx</a>) wrote:<br> <br> &gt; So evolutionary-ecological theory predicts phase<br> &gt; sensitivity in the onset, and insensitivity after that.<br> <br> Sorry for using your comment for this purpose, but I would like to point<br= > on yet another source of confusion with the term &quot;phase&quot;. Mathema= tically,<br> only periodic signals can have a phase, so anything that has an onset is<br= > excluded. In this case you are talking about &quot;delay&quot; or &quot;tim= e shift&quot;.<br> Tha main diference is that phase shift is limited by the period length of<b= r> the periodic signal, while time shift can be of any size.<br> <br> (If I were a mathematician, I&#39;d say that, as a periodic signal must be<= br> infinite, no such signal can exist in real life...)<br> <font color=3D"#888888"><br> =A0 =A0 =A0 =A0 =A0 =A0 =A0 Laszlo Toth<br> =A0 =A0 =A0 =A0Hungarian Academy of Sciences =A0 =A0 =A0 =A0 *<br> =A0Research Group on Artificial Intelligence =A0 * =A0 &quot;Failure only = begins<br> =A0 =A0 e-mail: <a href=3D"mailto:tothl@xxxxxxxx">tothl@xxxxxxxx= d.hu</a> =A0 =A0 =A0 =A0 =A0 =A0* =A0 =A0when you stop trying&quot;<br> =A0 =A0 <a href=3D"http://www.inf.u-szeged.hu/%7Etothl" target=3D"_blank">= http://www.inf.u-szeged.hu/~tothl</a> =A0 =A0 =A0 =A0*<br> </font></blockquote></div><br></div> --0003255767a6ca089b049204f457--


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