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Human hearing beats FFT
ncdrawl
post Feb 9 2013, 15:20
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http://phys.org/news/2013-02-human-fourier...-principle.html
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Yaakov Gringeler
post Nov 4 2013, 20:15
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Several months ago, in posts in this topic, I provided some information about my transform, EST.

I now have a document with better explanations, actual results, and charts.

The link to the document is:
http://www.mediafire.com/?0bprdaoop81d0cx
Please note that viewing the document online will only display the text, and not the charts. It has to be downloaded to be fully viewed.

As a reminder, this topic followed an article that showed that human hearing performance in finding frequencies exceeds the Fourier uncertainty limit.

EST finds frequencies using a deterministic algorithm unrelated to Fourier transforms and not bound by the Fourier uncertainty principle.

This shows that the results of the article are not surprising.
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- ncdrawl   Human hearing beats FFT   Feb 9 2013, 15:20
- - probedb   QUOTE (ncdrawl @ Feb 9 2013, 14:20) http:...   Feb 9 2013, 15:51
|- - ncdrawl   QUOTE (probedb @ Feb 9 2013, 09:51) QUOTE...   Feb 9 2013, 16:02
|- - probedb   QUOTE (ncdrawl @ Feb 9 2013, 15:02) it is...   Feb 11 2013, 09:26
- - lvqcl   From the comments: QUOTE The Fourier uncertainty ...   Feb 9 2013, 16:10
- - greynol   That title? What about the title of this discussi...   Feb 9 2013, 18:00
- - Alexey Lukin   Love the title   Feb 9 2013, 20:13
- - greynol   ...with a blunt stick.   Feb 9 2013, 20:17
- - Woodinville   Ad the Gabor limit does not address known frequenc...   Feb 10 2013, 04:41
|- - Kees de Visser   QUOTE (Woodinville @ Feb 10 2013, 04:41) ...   Feb 10 2013, 08:31
|- - Woodinville   QUOTE (Kees de Visser @ Feb 9 2013, 23:31...   Feb 10 2013, 12:51
|- - Porcus   QUOTE (Kees de Visser @ Feb 10 2013, 08:3...   Feb 10 2013, 17:15
- - 2Bdecided   Is it worth spending $25 to read this in full...   Feb 11 2013, 10:25
|- - Kees de Visser   I just stumbled upon this blog. Are we heading tow...   Feb 11 2013, 10:56
||- - Porcus   QUOTE More pointedly: until scientists devise and ...   Feb 11 2013, 11:46
||- - 2Bdecided   QUOTE (Porcus @ Feb 11 2013, 10:46) QUOTE...   Feb 11 2013, 12:21
|- - ojdo   QUOTE (2Bdecided @ Feb 11 2013, 17:25) Is...   Feb 11 2013, 17:13
- - db1989   Given that the writer misspelled mathematical and ...   Feb 11 2013, 16:39
|- - Ethan Winer   QUOTE (db1989 @ Feb 11 2013, 10:39) Given...   Feb 11 2013, 23:05
- - greynol   Would someone mind correlating the article with th...   Feb 11 2013, 16:48
- - benski   Off the top of my head. I might be wrong. But pa...   Feb 11 2013, 18:32
- - 2Bdecided   By taking an FFT, you are performing an (approxima...   Feb 11 2013, 19:02
- - krabapple   Here's what the audiophilosphere reliably take...   Feb 12 2013, 07:18
- - knutinh   Is not some wavelet/filterbank transform more rele...   Feb 12 2013, 09:59
|- - Garf   QUOTE (knutinh @ Feb 12 2013, 09:59) Is n...   Feb 19 2013, 17:27
|- - jmvalin   QUOTE (Garf @ Feb 19 2013, 11:27) Yes, th...   Feb 19 2013, 21:07
- - scuttle   I thought it would be fun and informative to poke ...   Feb 17 2013, 17:33
- - Willakan   Good God, I have been reading/getting PMed on othe...   Feb 18 2013, 20:03
|- - Porcus   QUOTE (Willakan @ Feb 18 2013, 20:03) or ...   Feb 18 2013, 20:22
|- - Woodinville   QUOTE (Willakan @ Feb 18 2013, 11:03) Goo...   Feb 19 2013, 00:44
- - 2Bdecided   It's amazing what people conclude, given that ...   Feb 19 2013, 10:53
- - lvqcl   I didn't find any mention of FFT in this artic...   Feb 19 2013, 15:51
|- - greynol   QUOTE (lvqcl @ Feb 19 2013, 06:51) I didn...   Feb 19 2013, 16:56
- - Canar   The first thing that comes to my mind is: Now how ...   Feb 19 2013, 16:46
|- - Garf   QUOTE (Canar @ Feb 19 2013, 16:46) The fi...   Feb 19 2013, 17:32
- - Paulhoff   For those in the know.......... The Princess an...   Feb 20 2013, 19:51
- - Woodinville   It's still a confused headline. Recognzing one...   Feb 21 2013, 04:55
|- - Garf   QUOTE (Woodinville @ Feb 21 2013, 04:55) ...   Feb 21 2013, 07:54
|- - Woodinville   QUOTE (Garf @ Feb 20 2013, 22:54) QUOTE (...   Feb 22 2013, 04:22
- - dhromed   Yeah, we don't want to turn HA into an extensi...   Feb 21 2013, 10:02
- - 2Bdecided   Never mind the title, I still don't find a sat...   Feb 25 2013, 13:14
|- - knutinh   QUOTE (2Bdecided @ Feb 25 2013, 13:14) Ne...   Feb 25 2013, 15:32
||- - 2Bdecided   QUOTE (knutinh @ Feb 25 2013, 14:32) I gu...   Feb 25 2013, 17:24
|- - jmvalin   QUOTE (2Bdecided @ Feb 25 2013, 07:14) Ne...   Feb 26 2013, 00:10
- - Woodinville   There are a number of issues confused in this thre...   Feb 26 2013, 04:30
|- - Alexey Lukin   QUOTE (Woodinville @ Feb 25 2013, 23:30) ...   Mar 14 2013, 17:39
- - 2Bdecided   Thank you JJ.   Feb 26 2013, 10:57
- - krabapple   http://arstechnica.com/science/2013/02/hum...3s-so...   Feb 27 2013, 01:51
- - greynol   Well the quality of the comments look pretty encou...   Feb 27 2013, 02:44
|- - Woodinville   QUOTE (greynol @ Feb 26 2013, 17:44) Well...   Feb 27 2013, 05:55
- - 2Bdecided   Interesting paper, thank you.   Mar 15 2013, 12:15
- - Yaakov Gringeler   EST is a new transform that can explain the result...   Apr 2 2013, 01:03
|- - Woodinville   QUOTE (Yaakov Gringeler @ Apr 1 2013, 17...   Apr 2 2013, 23:47
|- - Yaakov Gringeler   EST stands for Exponential Sum Transform and it us...   Apr 3 2013, 01:42
|- - Porcus   I think I could very well use a formula or two ......   Apr 3 2013, 20:34
- - Alexey Lukin   Yaakov, also check out the Reassigned spectrogram ...   Apr 2 2013, 23:59
- - Canar   I think a lot of us here would be interested in a ...   Apr 3 2013, 05:27
|- - Yaakov Gringeler   QUOTE (Canar @ Apr 3 2013, 05:27) I think...   Apr 3 2013, 18:14
- - db1989   If I may guess, I think he means that this site ha...   Apr 3 2013, 18:31
- - Yaakov Gringeler   The following link: http://www.mediafire.com/view...   Apr 3 2013, 22:10
- - Woodinville   Hm. Define "noiseless". Most instrumen...   Apr 11 2013, 11:09
- - Yaakov Gringeler   The paper described the mathematical basis of EST,...   Apr 11 2013, 19:33
|- - Woodinville   QUOTE (Yaakov Gringeler @ Apr 11 2013, 11...   Apr 11 2013, 20:36
|- - Yaakov Gringeler   QUOTE (Woodinville @ Apr 11 2013, 20:36) ...   Apr 11 2013, 21:32
|- - Woodinville   QUOTE (Yaakov Gringeler @ Apr 11 2013, 13...   Jun 4 2013, 01:51
- - Specy   Over 10 years ago, for my master thesis, I wrote a...   Aug 17 2013, 11:52
- - Yaakov Gringeler   Several months ago, in posts in this topic, I prov...   Nov 4 2013, 20:15


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