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stem/Speech/Speech Processing/Source-Filter.md

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vault backup: 2023-06-06 17:01:49 Affected files: STEM/AI/Kalman Filter.md STEM/Signal Proc/Convolution.md STEM/Signal Proc/Image/Tracking.md STEM/Signal Proc/Pole-Zero.md STEM/Signal Proc/Transfer Function.md STEM/Speech/Linguistics/Consonants.md STEM/Speech/Linguistics/Linguistics.md STEM/Speech/Linguistics/README.md STEM/Speech/Linguistics/Terms.md STEM/Speech/Linguistics/Vowels.md STEM/Speech/NLP/Jargon.md STEM/Speech/NLP/NLP.md STEM/Speech/NLP/README.md STEM/Speech/NLP/Recognition.md STEM/Speech/Perception/Perception.md STEM/Speech/Perception/README.md STEM/Speech/Speech Processing/Applications.md STEM/Speech/Speech Processing/README.md STEM/Speech/Speech Processing/Source-Filter.md STEM/Speech/Speech Processing/Vocal Tract.md STEM/img/english-phoneme-table.png STEM/img/formant.png STEM/img/pole-zero-attenuation.png STEM/img/pole-zero-feedback.png STEM/img/pole-zero-stable.png STEM/img/roc-right-left.png STEM/img/roc-two-sided.png STEM/img/spectrum-vocal-tract.png STEM/img/transfer-stable-unstable.png STEM/img/vowel-chart.png STEM/img/vowel-spaces.png
2023-06-06 17:01:49 +01:00
[![File:Source-filter model diagram.svg](data:image/png;base64,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
# Source
Excitation Signal
- Voiced
- Periodic impulse train
- Quasi-periodic glottal pulses
- Unvoiced
- White noise
- Broad-band noise
- Typically Gaussian
# Filter
- Time-varying linear filter
- Poles & zeroes
- All-pole for LP
Speech is a convolution of the two (in $t$)
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