Andy Pack
f29c435494
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
20 lines
600 B
Markdown
20 lines
600 B
Markdown
---
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tags:
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- speech
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---
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- Input and output signals are real
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- Filter coefficients are real for rational $H(z)$
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- Poles/zeros either real or complex conjugate pairs
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- BIBO stability important
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# Frequency Response
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- Sample along unit circle
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- $|z|=\left|e^{i\omega}\right|=1$
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# Magnitude Response
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$$\left|H(e^{i\omega})\right|=\frac{b_0|e^{i\omega}-\beta_1|\cdot\cdot\cdot|e^{i\omega}-\beta_q|}{|e^{i\omega}-\alpha_1|\cdot\cdot\cdot|e^{i\omega}-\alpha_p|}$$
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- LPC & Cepstral Analysis to separate
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- Residual allows more accurate estimation of pitch period |