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Two hundred and fifty thousand.
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Fifteen hundred. Because Yeah.
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Yeah. Two thousand and fifteen hundred.
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Above , um it seems that Well , some voiced sound can have also , like , a noisy part on high frequencies , and But
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Yeah.
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Well , it 's just
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No , it 's makes sense to look at low frequencies.
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So this is uh , basically this is comparing an original version of the signal to a smoothed version of the same signal ?
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Yeah.
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Right. So i so i i this is I mean , i you could argue about whether it should be linear interpolation or or or or zeroeth order , but but
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Uh - huh.
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at any rate something like this is what you 're feeding your recognizer , typically.
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Like which of the ?
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No. Uh , so the mel cepstrum is the is the is the cepstrum of this this , uh , spectrum or log spectrum ,
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So this is Yeah.
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Yeah. Right , right.
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whatever it You - you 're subtracting in in in power domain or log domain ?
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In log domain. Yeah.
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Log domain.
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OK. So it 's sort of like division , when you do the yeah , the spectra.
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Yeah.
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Uh , yeah.
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It 's the ratio.
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Um. Yeah. But , anyway , um and that 's
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So what 's th uh , what 's the intuition behind this kind of a thing ? I I don't know really know the signal - processing well enough to understand what what is that doing.
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So. Yeah. What happen if what we have have what we would like to have is some spectrum of the excitation signal ,
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Yeah. I guess that makes sense. Yeah.
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which is for voiced sound ideally a a pulse train
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Uh - huh.
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and for unvoiced it 's something that 's more flat.
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Uh - huh. Right.
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And the way to do this is that well , we have the we have the FFT because it 's computed in in the in the system , and we have the mel filter banks ,
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Mm - hmm. Mm - hmm.
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and so if we if we , like , remove the mel filter bank from the FFT , we have something that 's close to the excitation signal.
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Oh.
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It 's something that 's like a a a train of p a pulse train for voiced sound
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OK.
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Yeah.
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Oh ! OK. Yeah.
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and that 's that should be flat for
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Yeah.
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I see. So do you have a picture that sh ?
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So - It 's Y
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Is this for a voiced segment ,
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yeah.
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this picture ? What does it look like for unvoiced ?
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Yeah.
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You have several some unvoiced ?
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The dif No. Unvoiced , I don't have
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Oh.
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for unvoiced.
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Yeah. So , you know , all
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I 'm sorry.
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But Yeah.
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Yeah.
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Yeah. This is the between
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This is another voiced example. Yeah.
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No. But it 's this ,
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Oh , yeah. This is
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but between the frequency that we are considered for the excitation
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Right. Mm - hmm.
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for the difference and this is the difference.
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Yeah.
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This is the difference. OK.
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So , of course , it 's around zero ,
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Yeah.
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Sure looks
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but
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Hmm.
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Well , no.
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Hmm.
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It is
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Yeah. Because we begin , uh , in fifteen point the fifteen point.
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So , does does the periodicity of this signal say something about the the
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Fifteen p
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So it 's Yeah.
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Pitch.
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It 's the pitch.
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the pitch ?
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Yeah. Mm - hmm.
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Yeah.
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OK.
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That 's like fundamental frequency.
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Mm - hmm.
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So , I mean , i t t
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OK. I see.
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I mean , to first order what you 'd what you 're doing I mean , ignore all the details and all the ways which is that these are complete lies. Uh , the the you know , what you 're doing in feature extraction for speech recognition is you have , uh , in your head a a a a simplified production model for speech ,
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Mm - hmm.
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in which you have a periodic or aperiodic source that 's driving some filters.
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Mm - hmm.
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Yeah. This is the the auto - correlation the R - zero energy.
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Do you have the mean do you have the mean for the auto - correlation ?
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Uh , first order for speech recognition , you say " I don't care about the source ".
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For Yeah.
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Well , I mean for the the energy.
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I have the mean.
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Right ?
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Right.
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And so you just want to find out what the filters are.
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Right.
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