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It 's noisy TIMIT.
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Yeah.
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It seems quite robust to noise , so when we take we draw its parameters across time for a clean sentence and then nois the same noisy sentence , it 's very close.
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Mm - hmm.
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Yeah. So there are there is this. There could be also the , um something like the maximum of the auto - correlation function or which
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Is this a a s a trained system ? Or is it a system where you just pick some thresholds ? Ho - how does it work ?
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Right now we just are trying to find some features. And ,
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Mm - hmm.
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uh Yeah. Hopefully , I think what we want to have is to put these features in s some kind of , um well , to to obtain a statistical model on these features and to or just to use a neural network and hopefully these features w would help
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Because it seems like what you said about the mean of the the voiced and the unvoiced that seemed pretty encouraging.
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Mm - hmm.
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Well , yeah , except the variance was big.
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Right ?
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Yeah. Except the variance is quite high.
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Right ?
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Well , y
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Yeah.
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Well , y I I don't know that I would trust that so much because you 're doing these canonical mappings from TIMIT labellings.
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Uh - huh.
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Right ? So , really that 's sort of a cartoon picture about what 's voiced and unvoiced. So that could be giving you a lot of variance.
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Yeah.
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I mean , i it it may be that that you 're finding something good and that the variance is sort of artificial because of how you 're getting your truth.
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Mm - hmm.
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Yeah. But another way of looking at it might be that I mean , what w we we are coming up with feature sets after all. So another way of looking at it is that um , the mel cepstru mel spectrum , mel cepstrum , any of these variants , um , give you the smooth spectrum. It 's the spectral envelope. By going back to the FFT , you 're getting something that is more like the raw data. So the question is , what characterization and you 're playing around with this another way of looking at it is what characterization of the difference between the raw data and this smooth version is something that you 're missing that could help ? So , I mean , looking at different statistical measures of that difference , coming up with some things and just trying them out and seeing if you add them onto the feature vector does that make things better or worse in noise , where you 're really just i i the way I 'm looking at it is not so much you 're trying to f find the best the world 's best voiced - unvoiced , uh , uh , classifier ,
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Mm - hmm.
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Mmm.
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but it 's more that , you know , uh , uh , try some different statistical characterizations of that difference back to the raw data
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Right.
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and and m maybe there 's something there that the system can use.
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Right.
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Yeah. Yeah , but ther more obvious is that Yeah. The the more obvious is that that well , using the th the FFT , um , you just it gives you just information about if it 's voiced or not voiced , ma mainly , I mean. But So ,
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Yeah.
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this is why we we started to look by having sort of voiced phonemes
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Well , that 's the rea w w what I 'm arguing is that 's Yeah. I mean , uh , what I 'm arguing is that that that 's givi you gives you your intuition.
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and Mm - hmm.
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But in in reality , it 's you know , there 's all of this this overlap and so forth ,
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Oh , sorry.
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and But what I 'm saying is that may be OK , because what you 're really getting is not actually voiced versus unvoiced , both for the fac the reason of the overlap and and then , uh , th you know , structural reasons , uh , uh , like the one that Chuck said , that that in fact , well , the data itself is that you 're working with is not perfect.
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Yeah. Mm - hmm.
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So , what I 'm saying is maybe that 's not a killer because you 're just getting some characterization , one that 's driven by your intuition about voiced - unvoiced certainly ,
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Mm - hmm.
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but it 's just some characterization of something back in the in the in the almost raw data , rather than the smooth version.
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Mm - hmm.
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And your intuition is driving you towards particular kinds of , uh , statistical characterizations of , um , what 's missing from the spectral envelope.
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Mm - hmm.
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Um , obviously you have something about the excitation , um , and what is it about the excitation , and , you know and you 're not getting the excitation anyway , you know. So so I I would almost take a uh , especially if if these trainings and so forth are faster , I would almost just take a uh , a scattershot at a few different ways of look of characterizing that difference and , uh , you could have one of them but and and see , you know , which of them helps.
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Mm - hmm. OK.
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So i is the idea that you 're going to take whatever features you develop and and just add them onto the future vector ? Or , what 's the use of the the voiced - unvoiced detector ?
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Uh , I guess we don't know exactly yet. But , um Yeah. Th
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It 's not part of a VAD system that you 're doing ?
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No.
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Uh , no. No.
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Oh , OK.
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No , the idea was , I guess , to to use them as as features.
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Features. I see.
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Uh Yeah , it could be , uh it could be a neural network that does voiced and unvoiced detection ,
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Mm - hmm.
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but it could be in the also the big neural network that does phoneme classification.
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Mm - hmm.
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Mmm. Yeah.
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But each one of the mixture components I mean , you have , uh , uh , variance only , so it 's kind of like you 're just multiplying together these , um , probabilities from the individual features within each mixture. So it 's so , uh , it seems l you know
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I think it 's a neat thing. Uh , it seems like a good idea.
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Yeah. Um. Yeah. I mean , I know that , um , people doing some robustness things a ways back were were just doing just being gross and just throwing in the FFT and actually it wasn't wasn't wasn't so bad. Uh , so it would s and and you know that i it 's gotta hurt you a little bit to not have a a spectral , uh a s a smooth spectral envelope , so there must be something else that you get in return for that
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Mm - hmm.
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that , uh uh So.
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So how does uh , maybe I 'm going in too much detail , but how exactly do you make the difference between the FFT and the smoothed spectral envelope ? Wha - wh i i uh , how is that , uh ?
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Um , we just How did we do it up again ?
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Uh , we distend the we have the twenty - three coefficient af after the mel f filter ,
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Mm - hmm.
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and we extend these coefficient between the all the frequency range.
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Mm - hmm.
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And i the interpolation i between the point is give for the triang triangular filter , the value of the triangular filter and of this way we obtained this mode this model speech.
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So you essentially take the values that th that you get from the triangular filter and extend them to sor sort of like a rectangle , that 's at that m value.
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Yeah.
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Yeah. I think we have linear interpolation.
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Mm - hmm.
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So we have we have one point for one energy for each filter bank ,
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mmm Yeah , it 's linear.
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Mmm.
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Oh.
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which is the energy that 's centered on on on the triangle
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Yeah. At the n at the center of the filter
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So you you end up with a vector that 's the same length as the FFT vector ?
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Yeah. That 's right.
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Yeah.
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And then you just , uh , compute differences
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Yeah. I have here one example if you if you want see something like that.
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Then we compute the difference.
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and ,
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Yeah. Uh - huh.
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OK.
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uh , sum the differences ?
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So. And I think the variance is computed only from , like , two hundred hertz to one to fifteen hundred.
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Oh ! OK.
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Mm - hmm.
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Two thou two fifteen hundred ?
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Mm - hmm.
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Because
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No.
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Right.
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