stem/Speech/Speech Processing/Vocal Tract.md
Andy Pack f29c435494 vault backup: 2023-12-27 22:38:55
Affected files:
.obsidian/graph.json
.obsidian/workspace.json
Gaming/Steam controllers.md
Gaming/Ubisoft.md
STEM/Signal Proc/Convolution.md
STEM/Signal Proc/Fourier Transform.md
STEM/Signal Proc/Pole-Zero.md
STEM/Signal Proc/System Classes.md
STEM/Signal Proc/Transfer Function.md
STEM/Speech/Linguistics/Consonants.md
STEM/Speech/Linguistics/Linguistics.md
STEM/Speech/Linguistics/Terms.md
STEM/Speech/Linguistics/Vowels.md
STEM/Speech/Literature.md
STEM/Speech/NLP/Jargon.md
STEM/Speech/NLP/NLP.md
STEM/Speech/NLP/Recognition.md
STEM/Speech/Perception/Perception.md
STEM/Speech/Speech Processing/Applications.md
STEM/Speech/Speech Processing/Source-Filter.md
STEM/Speech/Speech Processing/Vocal Tract.md
Work/Applications/Anthropic/Cover letter.md
Work/Applications/Anthropic/In line with values.md
Work/Applications/Anthropic/Why Work.md
Work/Companies.md
Work/Freelancing.md
Work/Products.md
Work/Tech.md
2023-12-27 22:38:56 +00:00

600 B

tags
speech
  • Input and output signals are real
    • Filter coefficients are real for rational H(z)
    • Poles/zeros either real or complex conjugate pairs
  • BIBO stability important

Frequency Response

  • Sample along unit circle
    • |z|=\left|e^{i\omega}\right|=1

Magnitude Response

\left|H(e^{i\omega})\right|=\frac{b_0|e^{i\omega}-\beta_1|\cdot\cdot\cdot|e^{i\omega}-\beta_q|}{|e^{i\omega}-\alpha_1|\cdot\cdot\cdot|e^{i\omega}-\alpha_p|}

  • LPC & Cepstral Analysis to separate
  • Residual allows more accurate estimation of pitch period