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
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---
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tags:
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- signals
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- maths
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---
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Integral operator
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Integral operator
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- Satisfies mathematical properties of integral operator
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- Satisfies mathematical properties of integral operator
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- Product of two after one has been reversed and shifted
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- Product of two after one has been reversed and shifted
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---
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tags:
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- signals
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- maths
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---
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$$X(\omega)=\int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt$$
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$$X(\omega)=\int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt$$
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$$x(t)=\frac{1}{2\pi}\int_{2\pi}X(\omega)e^{j\omega t}d\omega$$
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$$x(t)=\frac{1}{2\pi}\int_{2\pi}X(\omega)e^{j\omega t}d\omega$$
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## Discrete-Time
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## Discrete-Time
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---
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tags:
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- signals
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---
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- Poles
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- Poles
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- **X**
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- **X**
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- Let $X(z) = inf$
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- Let $X(z) = inf$
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---
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tags:
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- signals
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---
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# Dynamic vs Algebraic
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# Dynamic vs Algebraic
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- Dynamic system has "memory", output depends on present and past
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- Dynamic system has "memory", output depends on present and past
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- Includes diff and/or integral operators with initial conditions
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- Includes diff and/or integral operators with initial conditions
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---
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tags:
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- signals
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---
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$$Y(s)=H(s)\cdot X(s)$$
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$$Y(s)=H(s)\cdot X(s)$$
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- $H(s)=\frac{Y(s)}{X(s)}=\frac{\mathcal L\{y(t)\}}{\mathcal L\{x(t)\}}$
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- $H(s)=\frac{Y(s)}{X(s)}=\frac{\mathcal L\{y(t)\}}{\mathcal L\{x(t)\}}$
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---
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---
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tags:
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tags:
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- linguistics
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- linguistics
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- speech
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---
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---
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- Complete or partial closure of vocal tract
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- Complete or partial closure of vocal tract
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- Voiced/Unvoiced
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- Voiced/Unvoiced
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---
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---
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tags:
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tags:
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- linguistics
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- linguistics
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- speech
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---
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---
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- Phonetics
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- Phonetics
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- Sound of language
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- Sound of language
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---
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---
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tags:
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tags:
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- linguistics
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- linguistics
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- speech
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---
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---
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# Phoneme
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# Phoneme
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- Smallest unit of speech
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- Smallest unit of speech
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---
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---
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tags:
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tags:
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- linguistics
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- linguistics
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- speech
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---
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---
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ALL VOICED
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ALL VOICED
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[Wikipedia - Vowel Sounds](https://en.wikipedia.org/wiki/Vowel#Audio_samples)
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[Wikipedia - Vowel Sounds](https://en.wikipedia.org/wiki/Vowel#Audio_samples)
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---
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---
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tags:
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tags:
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- lit
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- lit
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- speech
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---
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---
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Daniel Jurafsky
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Daniel Jurafsky
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James H. Martin
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James H. Martin
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---
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tags:
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- speech
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---
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- Types
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- Types
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- Distinct words
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- Distinct words
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- |V|
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- |V|
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---
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---
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tags:
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tags:
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- ai
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- ai
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- speech
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---
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---
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# Text Normalisation
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# Text Normalisation
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- Tokenisation
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- Tokenisation
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---
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---
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tags:
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tags:
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- ai
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- ai
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- speech
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---
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---
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1. Automatic Speech Recognition
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1. Automatic Speech Recognition
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- Spoken words to machine-readable form
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- Spoken words to machine-readable form
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---
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tags:
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- speech
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---
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# Physiological
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# Physiological
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- Physical/mechanical processing of sound
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- Physical/mechanical processing of sound
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- Ear stuff
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- Ear stuff
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---
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---
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tags:
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tags:
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- media
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- media
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- speech
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---
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---
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- Speech telecommunications & Encoding
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- Speech telecommunications & Encoding
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- Preserving perceptibility and quality over the wire
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- Preserving perceptibility and quality over the wire
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---
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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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- Input and output signals are real
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- Filter coefficients are real for rational $H(z)$
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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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- Poles/zeros either real or complex conjugate pairs
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