On Wed, 21 Jan 2015 08:29:31 -0600, "AllenDowney" <103119@dsprelated> wrote:>Last week I posted blog article on Chapter 4 of Think DSP, which is about >noise: > >http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html > >The article includes this notebook, where I present the missing fundamental >effect, where we hear a low pitch even if the signal contains no power at >that frequency: > >http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb > >This week I posted Chapter 5, which is about autocorrelation > >http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html > >The article includes this notebook, which uses autocorrelation to crack the >case of the missing fundamental: > >http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb > >As always, comments from Comp.DSP are welcome (but let's try not to get >bogged down on the plural of spectrum :)Hello Prof, Downey, That "missing fundamental effect" is darned interesting. I don't recall ever running across it before. Speaking "hearing tones" whose spectral components don't exist, you might find the following mildly interesting: http://www.dsprelated.com/showarticle/189.php [-Rick-]
Update on Think DSP, and an explanation of the missing fundamental effect
Started by ●January 21, 2015
Reply by ●January 22, 20152015-01-22
Reply by ●January 22, 20152015-01-22
This is a multi-part message in MIME format. --------------070804020307040403070902 Content-Type: text/plain; charset=windows-1252; format=flowed Content-Transfer-Encoding: 7bit On 1/22/2015 8:42 AM, AllenDowney wrote:> This is an interesting, and annoying, noise! I will pass this along as an > option for the students to explore and let you know if we find anything > useful. > > Thanks for all the comments on this thread -- there is a lot of good > stuff! > > AllenAllen: I am also using this opportunity to determine the maximum sizes of Usenet attachments. After several attempts in alt.test, it seems that the limit is near 2.5 MB, or about 30 seconds of monoaural, CD-quality speech. Can you please verify whether you were able to download and play this attachment?? Obviously, anything larger, we should place in DropBox, Google Drive, etc. I am under the impression that many applications that deal with sound processing prefer 16 bit (i.e., cannot deal with floating point). Is that your case? Is mono or stereo better for the purposes of Noise study? What does your Python have to say? Does it matter? Thanks !! -Ramon --------------070804020307040403070902 Content-Type: audio/wav; name="Lancer Original 30 Seconds.wav" Content-Transfer-Encoding: base64 Content-Disposition: attachment; filename="Lancer Original 30 Seconds.wav" UklGRhZgKABXQVZFZm10IBAAAAABAAEARKwAAIhYAQACABAAZGF0YfJfKAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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Reply by ●January 23, 20152015-01-23
On 21.1.15 16:29, AllenDowney wrote:> Last week I posted blog article on Chapter 4 of Think DSP, which is about > noise: > > http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html > > The article includes this notebook, where I present the missing fundamental > effect, where we hear a low pitch even if the signal contains no power at > that frequency: > > http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb > > This week I posted Chapter 5, which is about autocorrelation > > http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html > > The article includes this notebook, which uses autocorrelation to crack the > case of the missing fundamental: > > http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb > > As always, comments from Comp.DSP are welcome (but let's try not to get > bogged down on the plural of spectrum :) > > _____________________________ > Posted through www.DSPRelated.comIt seems to me that you have found the old trick of organ makers. The organ stops are marked with the length of an open pipe generating the lowest sound on the keyboard (C). Typical values are 16, 8, 4, and 2 feet. A closed pipe sounds one octave lower than the corresponding open pipe, so their markings are twice the length of the pipe. Often the lowest sounding stop is closed 16 feet, but it may be desired to get a booming bass one octave lower, despite of lack of space. The builders create a stop having two pipes sounding together, 16 feet and 10 2/3 feet (second and third harmonic of 32 feet pipe), creating an 'acoustic 32 feet stop'. -- Tauno Voipio
Reply by ●January 23, 20152015-01-23
Yes! I should do an example based on beat notes. Thanks for the suggestion! Allen>On Wed, 21 Jan 2015 08:29:31 -0600, "AllenDowney" <103119@dsprelated> >wrote: > >>Last week I posted blog article on Chapter 4 of Think DSP, which isabout>>noise: >> >>http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html >> >>The article includes this notebook, where I present the missingfundamental>>effect, where we hear a low pitch even if the signal contains no powerat>>that frequency: >> >>http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb >> >>This week I posted Chapter 5, which is about autocorrelation >> >>http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html >> >>The article includes this notebook, which uses autocorrelation to crackthe>>case of the missing fundamental: >> >>http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb >> >>As always, comments from Comp.DSP are welcome (but let's try not to get >>bogged down on the plural of spectrum :) > >Hello Prof, Downey, > That "missing fundamental effect" is darned >interesting. I don't recall ever running across >it before. > >Speaking "hearing tones" whose spectral components >don't exist, you might find the following >mildly interesting: > >http://www.dsprelated.com/showarticle/189.php > >[-Rick-] >_____________________________ Posted through www.DSPRelated.com
Reply by ●January 23, 20152015-01-23
I think Dropbox or something like it is the way to go. The giant MIME doesn't play well with email threads. I've been using WAV files for my examples, which use integers (of various sizes), rather than floating-point. But then most of the processing I'm doing in Python ends up in floating-point. Allen>This is a multi-part message in MIME format. >--------------070804020307040403070902 >Content-Type: text/plain; charset=windows-1252; format=flowed >Content-Transfer-Encoding: 7bit > >On 1/22/2015 8:42 AM, AllenDowney wrote: >> This is an interesting, and annoying, noise! I will pass this along asan>> option for the students to explore and let you know if we find anything >> useful. >> >> Thanks for all the comments on this thread -- there is a lot of good >> stuff! >> >> Allen > >Allen: > >I am also using this opportunity to determine the maximum sizes of >Usenet attachments. After several attempts in alt.test, it seems that >the limit is near 2.5 MB, or about 30 seconds of monoaural, CD-quality >speech. > >Can you please verify whether you were able to download and play this >attachment?? > >Obviously, anything larger, we should place in DropBox, Google Drive,etc.> >I am under the impression that many applications that deal with sound >processing prefer 16 bit (i.e., cannot deal with floating point). Is >that your case? > >Is mono or stereo better for the purposes of Noise study? What does your >Python have to say? Does it matter? > >Thanks !! > >-Ramon > > > >--------------070804020307040403070902 >Content-Type: audio/wav; > name="Lancer Original 30 Seconds.wav" >Content-Transfer-Encoding: base64 >Content-Disposition: attachment; > filename="Lancer Original 30 Seconds.wav" > >UklGRhZgKABXQVZFZm10IBAAAAABAAEARKwAAIhYAQACABAAZGF0YfJfKAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA >AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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Reply by ●January 23, 20152015-01-23
On 1/23/2015 8:33 AM, AllenDowney wrote:> I think Dropbox or something like it is the way to go. The giant MIME > doesn't play well with email threads. >May I suggest the "Thunderbird" newsreader? https://www.mozilla.org/en-US/thunderbird/?icn=tabz Notice how I removed the giant MIME. -Ramon
Reply by ●January 24, 20152015-01-24
On Thu, 22 Jan 2015 14:53:19 -0800, Rick Lyons <R.Lyons@_BOGUS_ieee.org> wrote:>Hello Prof, Downey, > That "missing fundamental effect" is darned >interesting. I don't recall ever running across >it before. > >Speaking "hearing tones" whose spectral components >don't exist, you might find the following >mildly interesting: > >http://www.dsprelated.com/showarticle/189.php > >[-Rick-]Nice article! Anyone interested in exploring the whole beat phenomenon in detail may want to download Daqarta and try my Beats_Demo mini-app. (Start Daqarta, then hit F8, then B to get Beats_Demo started. Right-click its dialog for Help, which is also reproduced here: <http://www.daqarta.com/dw_0obb.htm>) The demo makes it easy to adjust center frequency and difference frequency independently. Also includes binaural beats, and some fun stuff with shifted binaural and monaural noise. No need to purchase Daqarta, since this is Generator-only stuff which will continue to operate even after the trial period expires. Best regards, Bob Masta DAQARTA v7.60 Data AcQuisition And Real-Time Analysis www.daqarta.com Scope, Spectrum, Spectrogram, Sound Level Meter Frequency Counter, Pitch Track, Pitch-to-MIDI FREE Signal Generator, DaqMusiq generator Science with your sound card!
Reply by ●January 27, 20152015-01-27
On Wednesday, January 21, 2015 at 9:29:34 AM UTC-5, AllenDowney wrote:> Last week I posted blog article on Chapter 4 of Think DSP, which is about > noise: > > http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html > > The article includes this notebook, where I present the missing fundamental > effect, where we hear a low pitch even if the signal contains no power at > that frequency: > > http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb > > This week I posted Chapter 5, which is about autocorrelation > > http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html > > The article includes this notebook, which uses autocorrelation to crack the > case of the missing fundamental: > > http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb > > As always, comments from Comp.DSP are welcome (but let's try not to get > bogged down on the plural of spectrum :) > > _____________________________ > Posted through www.DSPRelated.comDude, This was resolved years ago: http://www.google.com/patents/US7124075 - drawbacks of autocorrelation function discussed and "missing fundamental" mentioned too Nice work though...
Reply by ●January 28, 20152015-01-28
On Thursday, January 22, 2015 at 5:53:35 PM UTC-5, Rick Lyons wrote:> On Wed, 21 Jan 2015 08:29:31 -0600, "AllenDowney" <103119@dsprelated> > wrote: > > >Last week I posted blog article on Chapter 4 of Think DSP, which is about > >noise: > > > >http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html > > > >The article includes this notebook, where I present the missing fundamental > >effect, where we hear a low pitch even if the signal contains no power at > >that frequency: > > > >http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb > > > >This week I posted Chapter 5, which is about autocorrelation > > > >http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html > > > >The article includes this notebook, which uses autocorrelation to crack the > >case of the missing fundamental: > > > >http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb > > > >As always, comments from Comp.DSP are welcome (but let's try not to get > >bogged down on the plural of spectrum :) > > Hello Prof, Downey, > That "missing fundamental effect" is darned > interesting. I don't recall ever running across > it before. > > Speaking "hearing tones" whose spectral components > don't exist, you might find the following > mildly interesting: > > http://www.dsprelated.com/showarticle/189.php > > [-Rick-]Hi Rick, You have actually run across the "missing fundamental" 1000's of times before. Every time you made a phone call on a land line the fundamental at a minimum was largely suppressed if not effectively eliminated (except maybe for squeaky children and extremely high-pitched people), yet you did not think the pitch was any different. The period of a waveform rich with harmonics will be unchanged whether the fundamental is present or not. That period is the pitch, is it not? An interesting question (not a proof of anything) is if the fundamental is missing for speech, what do you expect the pitch to be? It hasn't doubled because the waveform is not periodic in half the period of the fundamental. Some other choice? In mobile phones that use spectral coding bandwidth compression it would make sense to eliminate low frequencies including the fundamental to save bits, so I would guess it is probably done there, which could be more 1000s of times you have encountered it. Dirk Dirk Bell, MSEE, MSCF Senior-Level DSP Engineer in search of a great opportunity. Willing to relocate. https://www.linkedin.com/in/dirkbell
Reply by ●February 3, 20152015-02-03
On Wed, 28 Jan 2015 12:07:52 -0800 (PST), bellda2005@gmail.com wrote: [Snipped by Lyons]> >Hi Rick, > >You have actually run across the "missing fundamental" 1000's of times before. Every time you made a phone call on a land line the fundamental at a minimum was largely suppressed if not effectively eliminated (except maybe for squeaky children and extremely high-pitched people), yet you did not think the pitch was any different. The period of a waveform rich with harmonics will be unchanged whether the fundamental is present or not. That period is the pitch, is it not? > >An interesting question (not a proof of anything) is if the fundamental is missing for speech, what do you expect the pitch to be? It hasn't doubled because the waveform is not periodic in half the period of the fundamental. Some other choice? > >In mobile phones that use spectral coding bandwidth compression it would make sense to eliminate low frequencies including the fundamental to save bits, so I would guess it is probably done there, which could be more 1000s of times you have encountered it. > >Dirk > >Dirk Bell, MSEE, MSCF >Senior-Level DSP Engineer in search of a great opportunity. >Willing to relocate. >https://www.linkedin.com/in/dirkbellHi Dirk, Your post is fascinating. As I wrote, I don't recall encountering this "missing fundamental effect" before. But now I realize that my past investigation of audio "beat notes" is indeed an example of our ear/brain mechanism hearing a "missing fundamental." Then you, Dirk, come along and make the astounding claim that our ability to hear "missing fundamental" tones is necessary to explain how telephone systems work. And now I think you're correct, and here's why: I'm assuming that telephone systems filter out any spoken audio energy below 300 Hz. Next I generated an audio tone of 250 Hz and played it through the speakers of my desktop computer. Listening to that tone I'm sure the sound of my voice "sounds" much lower in frequency than 250 Hz. (I cannot duplicate a tone as high as 250 Hz with my voice.) So if my voice sounds like it's spectral energy is less than 250 Hz and telephone systems attenuate audio spectral below 300 Hz, then how is it I'm able to call my brother and complain about federal politicians over the telephone? The only answer I can think of is that you're right Dirk. The telephone system transmits *only* the harmonics of my voice to my brother's house and my brother's ear/brain mechanism somehow allows him to hear the low frequency "missing fundamental" tones of my voice that were NOT transmitted over the telephone system. It all seems amazing to me, and I'm shocked* I haven't heard about this subject before. [-Rick-] * "Gambling! In Casablanca. I'm shocked." -- Capt. Louis Renault
