tag:blogger.com,1999:blog-1195329121901897762.post6518176122484367197..comments2023-10-27T00:50:43.562-07:00Comments on Physics for my Mom: Fourier analysis - Sines and integrals (part 3)Hughhttp://www.blogger.com/profile/07207142714575405001noreply@blogger.comBlogger17125tag:blogger.com,1999:blog-1195329121901897762.post-12167044548127498782021-06-21T13:55:45.902-07:002021-06-21T13:55:45.902-07:00einfach verlieben
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You made a good point but I can't help but wonder, what about the other side? !!!!!!Thanks <a href="http://einsty.com" rel="nofollow">physics</a><br />saadhttps://www.blogger.com/profile/01268916220539938415noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-36454396897628941472016-02-04T01:30:07.809-08:002016-02-04T01:30:07.809-08:00I think mimicking popular posts on other blogs is ...I think mimicking popular posts on other blogs is one of the best ways to get a good idea which will be popular.Such a lovely blog you have shared here with us. Really nice .We are currently making quality quick chargers to supercharge your entire devices Hoverboard charger, <a href="http://fireboltchargers.com/" rel="nofollow">Self balancing scooter charger</a>, Uwheels charger, Iohawk charger, Electric bike charger and more.<br />Anonymoushttps://www.blogger.com/profile/16768428057833589980noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-69075919780560690882012-02-10T07:17:56.587-08:002012-02-10T07:17:56.587-08:00Just came across your blog, and it has been very h...Just came across your blog, and it has been very helpful with my research. In my mathematical research class, my project is Fourier analysis on music recognition to be able to input music and have the computer output sheet music. If you have any advice on certain steps I should take, or anything with Fourier really, if you could email me at carlyn62591@yahoo.com it would be greatly appreciated. Thanks,<br />CarlynCarlynhttps://www.blogger.com/profile/06454025097005717905noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-87315150916766764542011-01-08T20:58:29.873-08:002011-01-08T20:58:29.873-08:00I came across your post last weekend when I was th...I came across your post last weekend when I was thinking about making a prototype "Hero" that used a real instrument as the controller via a microphone. I figured, I would share the results here as they may be relevant.<br /><br />In my case the instrument was an accordion. There is still some noise, but even with a simple "peak detection" (and choosing the closest notes) seemed to work:<br />http://www.youtube.com/watch?v=dm4Kv_-Sen0<br /><br />I uploaded the prototype, although I haven't tested it on other machines.<br />http://www.neilbirkbeck.com/?p=1895Paranoid Humanoidhttps://www.blogger.com/profile/06891340309087997219noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-13877955708167344642010-11-29T10:16:51.864-08:002010-11-29T10:16:51.864-08:00Christian - see http://www.youtube.com/watch?v=mGY...Christian - see http://www.youtube.com/watch?v=mGYedBMmmzY<br /><br />Hugh - thanks for this it is sooo helpful. :)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-9085922681541544382010-08-16T15:29:20.397-07:002010-08-16T15:29:20.397-07:00Hi Christian,
My email is walter.lippincott@gmail....Hi Christian,<br />My email is walter.lippincott@gmail.com, sorry for the delay in responding. <br />HughHughhttps://www.blogger.com/profile/07207142714575405001noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-87770016683350321422010-08-11T14:37:47.305-07:002010-08-11T14:37:47.305-07:00Oh, I'm sorry about leaving my name out of my ...Oh, I'm sorry about leaving my name out of my previous post. That was unintended. :)<br /><br />I'd love to help you out, but I'm afraid I have been unable to find an email address to mail the images to anywhere on the site. If you can post one here I'd be very grateful. Alternatively, simply send a dummy-mail to the address I posted above, and I'll reply to that.<br /><br />Christian H. PedersenChristian H. Pedersenhttp://www.dtu.dknoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-55863631698706874022010-08-09T08:31:39.764-07:002010-08-09T08:31:39.764-07:00Hey Anonymous,
No, you're right, I did cheat. ...Hey Anonymous,<br />No, you're right, I did cheat. I just took the theoretical frequencies for the notes in the A chord, added some noise, and plotted them by hand (although I did then run the fake signal through the fourier transform). If you want to send me what a guitar chord like that actually looks like, I would be happy to post it. <br /><br />Thanks for reading and pulling the curtain aside,<br />HughHughhttps://www.blogger.com/profile/07207142714575405001noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-83872087897874545272010-08-09T06:59:13.613-07:002010-08-09T06:59:13.613-07:00Hey Hugh! I read your fourier posts too and share ...Hey Hugh! I read your fourier posts too and share your fascination with fourier analysis. :) <br /><br />I'm afraid I have an inquisitive comment, though. My apologies! I hate being the showstopper. >_<<br /><br />For that A-chord, you didn't actually construct the time-domain signal and its frequency-domain counterpart from live data, did you? <br />I'm running an experiment as part of my engineering master thesis (computer science), and developed an application that records audio data and performs the fourier transform in real-time from an electric guitar connected to the computer's microphone line-in, and the resulting frequency spectrum is, unfortunately, NOT that simple. :(<br /><br />If it were, we would have polyphonic guitar detectors flooding the market for tuners worldwide as we speak.<br /><br />You see, the harmonies of each vibrating string get mixed up with the fundamental frequencies we are actually interested in. Take the open E-string, using standard tuning. If you pluck it, we'd like to ideally be seeing a single spike at E2 = 82.41Hz. But the open E-string, like all strings, has its second harmonic at the 12th fret, i.e. the overtone at 164.81. This isn't the biggest problem since that frequency also evaluates to an E (it's just E3). But worse yet, the string's 3rd harmonic is at the 7th fret, and this note is, unfortunately, not another E. It's a B3 = 246.94Hz. It continues like that, but one's detection scheme might not pick up further harmonics depending on the detection threshold.<br /><br />The problem presented here is that Fourier analysis does indeed decompose a signal into all of its constituent frequencues, but if the signal is coming from a guitar, then the frequencies might not be the ones you think you played...<br /><br />To comment on this, feel free to either reply here or email me at s042314@student.dtu.dkAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-25705859229498733312010-07-28T22:38:54.716-07:002010-07-28T22:38:54.716-07:00Really good explanation of Fourier.
Would you lik...Really good explanation of Fourier.<br /><br />Would you like to do some practical thing using this?<br /><br />I am doing one of that but having some difficulties to understand some part. would you like to join me then mail me at shiva.vaghela@gmail.com.<br /><br />I will explain practical thing using Fourier and we will make it physible!! what you think?shitanshnoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-21724531070005387972010-06-28T15:11:45.397-07:002010-06-28T15:11:45.397-07:00This was fantastic. Thanks!This was fantastic. Thanks!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-14636765973379598142010-04-17T12:01:12.177-07:002010-04-17T12:01:12.177-07:00Fourier analysis is AWESOME. What is NOT awesome i...Fourier analysis is AWESOME. What is NOT awesome is that non-eng/sci Yale undergrads think I am strange when I want to say, talk about how Fourier analysis is cool. *sigh*<br /><br />Keep up the great blogging.<br />Sam Jackson, TC'11Sam Jacksonhttp://www.samjackson.org/collegenoreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-49949369766410275952010-04-04T20:54:53.650-07:002010-04-04T20:54:53.650-07:00Going back and thinking about it i see how it all ...Going back and thinking about it i see how it all comes together...<br /><br />You use statement 1 to show that any signal is a composition of sine curves.<br /><br />You use statement 2 just as a corollary to show what and integral is and what you are looking for.<br /><br />You use statement 5 to show that you can isolate single sine curves from the others and find those integrals.<br /><br />From statement 4 you can say if you multiply your signal by a specific sine curve and get 0 for the integral across the interval then that specific curve IS NOT part of your original signal.<br /><br />From statement 5 you can say if you multiply your signal by a specific sine curve and get a vaule other than 0 for the integral across the interval then that specific curve IS part of your original signal.<br /><br />I belive that is correct....<br /><br />What then explains the amplitude of your spikes? If your frequencies determine the existance of a spike does the amplitude determine how much of the signal that frequency makes up?Unknownhttps://www.blogger.com/profile/13380929409440486434noreply@blogger.comtag:blogger.com,1999:blog-1195329121901897762.post-55169564522978534832010-04-02T16:32:46.021-07:002010-04-02T16:32:46.021-07:00Nice post!. I always wondered how they decomposed ...Nice post!. I always wondered how they decomposed frequencies using Fourier analysis.Curtis Faithhttp://www.curtisfaith.comnoreply@blogger.com