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What is sound?
Propagation of pressure waves in a medium (air, water, steel)
What is elasticity?
Opposes displacement
What is intertia?
Opposes acceleration
T/F: vibration = elasticity + inertia
True
Compression =
High pressure
Rarefaction =
low pressure
What are pressure waves?
Alternation compression and rarefaction regions
T/F: the wave moves, not the molecules- the molecules oscillate around the rest
True
T/F: the molecules move, not the waves
False
What are sine waves?
Simple harmonic motion, one frequency (building block of complex sounds)
What are the two types of complex waves?
periodic + aperiodic
T/F: sine waves are periodic and have a single frequency
True
What are periodic waves?
Combination of fundamental frequency and its harmonics
What are aperiodic waves?
no repetition (fricatives)
What is frequency?
Cycles per second = 1/period
What are Periods?
Time for one cycle = 1/frequency
What is amplitude?
Height of the wave --> intensity/ loudness
How to calculate wavelength?
speed of sound/ frequency
What is a waveform?
Amplitude (y) over time (x)
What is a spectrum?
Amplitude (y) across frequencies (x)
How is a spectrum calculated?
Select a shorter time window from a waveform (5-50 ms)
Apply the fourier transform
Plot the result as a spectrum
What is the Fourier transform?
Breaks a complex wave into its individual sine wave components
What does each sine wave contain?
A frequency
An amplitude
Sometimes a phase
How do you plot a spectrum?
X- axis: frequency (Hz)
Y- axis: amplitude (intensity/ energy)
What is the difference between waveform and spectrum?
Time vs. frequencies
What is a complex periodic wave>
Sum of multiple sine waves (harmonics of F0)
What is a complex aperiodic wave?
No repeating pattern (EX: fricatives)
What is resonance?
Natural frequency of vibration
What is the helmholtz resonator?
Single frequency system
What is an example of a Helmholtz resonator?
Vowel cavity
How does acoustic mass change the resonant frequency in a Helmholtz resonator?
If Ma increases, resonant frequency decreases
How can Ma be increased?
Lengthening the neck (more air molecules)
Decrease neck opening
What is Ca (acoustic compliance)?
Inverse (opposite) of stiffness
What happens if Ca increases in a Helmholtz resonator?
Resonant frequency decreases
How can Ca be increased?
Larger bowls increase in R, more room for displacement
What is l in Helmholtz resonator?
Length of neck
What is a in Helmholtz resonator?
radius of circular neck opening
What is R in Helmholtz resonator?
Radius of circular bowl
What is Ma in Helmholtz resonator?
Acoustic mass
What is Ca in Helmholtz resonator?
Acoustic compliance
What are tube resonators?
Infinite resonant frequencies
What are standing waves?
Vibrating air molecules produce the same pressure variation at the same location
Two waves of the same frequency interfere/combine
Pressure within the tube appears 'frozen'
What is an example of a standing wave?
Blowing into a bottle, guitar string vibrating
What is the resonant frequency of a half- open tube?
Quarter wavelength rule
What is the resonant frequency of a tube open on both ends?
Half wavelength rule
What is an example of a tube resonator?
Vocal tract
What is damping?
Energy loss --> broader bandwidth, 'muffled' sound
What factors create damping?
Friction
Absorption
Radiation
Gravity
What is the source filter theory?
Source: vibrating VFs --> complex periodic sound
Filter: vocal tract--> shapes sound via resonance (formants)
What is the source in SFT?
Input signal generated by vibrating VFs
How can we look at the source from SFT?
Measure glottal flow
Inverse filtering
Difficult because VFs are too deep in the body
How to achieve inverse filtering?
Glottal source signal + Vocal tract filter = speech signal
What does the source spectrum look like?
Lowest Frequency: fundamental frequency (F0), first harmonic
Other frequencies are whole- number multiples of F0
How do we change the source spectrum?
Differences in vibration change the tilt
Period (and F0 changed depend on age, sex, etc.
The steeper the closing slope, the less tilted the spectrum
What are the formants?
Resonance peaks, determined by tongue height, advancement, and lip rounding
F1 down =
tongue height up
F2 up =
Tongue forward
Lip rounding =
All formants down (especially f2)
What is the perturbation theory?
Constrictions raise/ lower formant frequencies depending on position
When do constrictions raise the resonant frequency?
Constriction located a pressure maximum
Increases stiffness of air molecules
Greater constriction = greater increase in resonant frequency
When do constrictions lower resonant frequency?
Constriction located at velocity maximum
Increase acoustic mass (inertia) of air molecules
Greater constriction = greater decrease in resonant frequency
What is the non- uniqueness problem?
same formant pattern DOES NOT EQUAL same articulatory position
[i] = ?
High F2, low F1
[a] =
High F1, low F2
[u] =
Both F1 and F2 low
Dipthongs ?
Two articulatory targets, visible formant transitions on spectrograms
What would velum open + oral closure =
Nasal murmur
T/F: nasal murmur and nasalization are the same thing
False
T/F: nasal murmur does not equal nasalization
True
What is a shunt resonator?
Velopharyngeal port is open coupling the pharyngeal-oral and nasal tract
What are the effects of a shunt resonator?
Sound energy hits acoustic 'dead end'
Sound energy becomes trapped
Produces antiresonances
What is an antiresonance?
Opposite of resonance- instead of amplifying a sound it traps it
How are antiresonances created?
Created at the mouth and sinus cavities
(~Helmholtz resonators for sinuses)
Characteristics of Nasal Sounds
Contains resonances (nasal cavity) + antiresonance (oral/sinus cavities)
F1 ~ 250-300 Hz for all
Characteristic of /l/
Lateral airflow --> antiresonance affects F3
What happens during /r/ production?
Distinct F3 drop
T/F: sibilants are high in energy
True
T/F: non- sibilants are high in energy
false
Characteristics of sibilants
High energy, narrow high- frequency peaks
Characteristics of non- sibilants?
Low energy, broad frequency range
Why do non- sibilants have low energy and broad frequency range?
Their energy is spread out across frequencies instead of being concentrated in one high-energy region
How can you tell the difference between voiced and voiceless fricatives?
Voiced have an additional low- frequency energy due to VF vibration
Larger front cavity size =
Lower spectral peak
Stops:
Complete closure --> burst release --> possible aspiration
Voiceless stops:
Longer closure, stronger bursts
For which stops is there possible aspiration?
Energy in mid- frequencies (1-4kHz) not low or high frequencies
Acoustic characteristics of a closure (silent) interval?
VT radiates little to no acoustic energy
Silent in voiceless stops
Weak periodic energy in voiced stops
Acoustic characteristics of a release (burst) interval?
The release (burst) interval is a quick, noisy explosion of sound energy created when the closure of a stop is released.
It's broadband, short, and shaped by where the constriction occurs in the mouth.
Frication interval:
turbulent airflow after the burst (30-50 ms)
Aspiration interval:
Turbulent noise at constriction at the glottis (10-30 ms), voiceless stops only
VOT:
Time between bursts & first voicing ~ 40-80 ms; voices < 20 ms
/p, b/:
low burst frequency (600-899Hz)
/t, d/:
High ( ~1800 Hz)
/k, g/:
Burst near F2
Affricates:
Stop + fricative sequence, longer frication (~60-80 ms)
What is sampling?
Picking pieces of waveform
What Hz is adequate for speech?
22kHz
What is quantization?
bit depth (12-16 bits typical)
What is on the X- axis of a spectrogram?
Time
What is on the Y-axis of a spectrogram?
Frequency