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Sound
A physical phenomenon that describes a movement or vibration of an elastic medium without permanent displacement of the particles
Elasticity
tendency of an objects resistance to deformity and its return to the rest position
Inertia
tendency to resist change in motion (the greater the objects mass, the greater the inertia)
Brownian Motion
Roughly equivalent distance between molecules (no stored energy)
A force is needed to start air particle movement
True
1 multiple choice option
Recoil and inertia make particles vibrate
True
1 multiple choice option
When molecules are close together, pressure is very high
True
1 multiple choice option
Presure
a force exerted over a unit of time (proportional to density)
Atmospheric Pressure
Pressure of air molecules at rest
Compression
areas of high density and pressure
Rarefaction
thinning of air molecules that creates areas of decreased air pressure and density
Air molecules move around a rest position, they do not move through space
True
1 multiple choice option
A pressure wave moves through space
True
1 multiple choice option
Plane waves
sound moving away from the source (travel in straight lines)
Waveform axes
x-axis: time
y-axis: pressure
Period (T)
Amount of time needed to complete one cycle of vibration, measured in units of time (the time it takes for a vibrating object to return to its starting position and begin its repeating motion)
Frequency (f)
the number of complete vibratory cycles per unit time, measured in Hz
Spatial Measures
how much distance there is between 2 peaks of a single cycle
Wavelength (spatial measure)
Distance covered by a high-pressure region and succeeding low-pressure region
The higher the frequency, the lower the wavelength
True
1 multiple choice option
Short wavelengths strike objects whereas longer wavelengths require sound to bend around objects
True
1 multiple choice option
Sine waves
simple harmonic motions (ex: sitting on a swing)
(periodic, single frequencies that are the building blocks of complex waveforms)
3 parameters of sine waves (sinusoidal motion):
Frequency, amplitude, phase
Periodic sound
a sound that always has the same period
Waveform
Shows an acoustic event in a time domain
Spectrum
shows an acoustic event in frequency domain
Fourier Analysis
breaks down complex waveforms into simpler sine waves, allowing the analysis of a signal's underlying frequency components
Complex Periodic Waveform
sum of individual sinusoids at the harmonic frequencies - identifies the frequencies in a signal (fundamental frequency, harmonics, energy between) (every cycle looks almost identical to the one before it)
You do not have to have all harmonics in a signal
True
1 multiple choice option
Complex aperiodic events
no repetitive pattern and no harmonically related frequency components (frequency cannot be determined by waveform, but needs to be determined by spectrum)
Examples of periodic waveforms:
Simple (single sine waves) and complex (multiple sine waves)
Examples of aperiodic waveforms:
Continuous (noise) and Transient (pulse)
Resonance
object vibrates with maximum energy at a particular frequency (range), natural frequency
Vibratory energy can be transferred to objects
True
1 multiple choice option
Spring Mass Model (mechanical resonance)
period of vibration - amount of time required to complete one full cycle of motion (similar to the motion of air molecules)
Frequency of vibration is determined by mass and elasticity
True
1 multiple choice option
Increase in stiffness, increase the resonant frequency
True
1 multiple choice option
Increase in mass, decrease the resonant frequency
True
1 multiple choice option
Helmholtz Resonator
a vibrator consisting of a volume of enclosed air with an resonator open neck and resonator bowl (works the same as a spring mass model - has a single resonant frequency) (applicable to vowels)
If you put energy into a Helmholtz resonator, you will get a pure tone
True
1 multiple choice option
Helmholtz Resonator Neck
air within the neck of the Helmholtz resonator acts as a plug of air with mass (if mass increases, so does the resonant frequency) (Acoustic mass, Ma, can be increased by lengthening the neck or decreasing neck opening)
Helmholtz Resonator Bowl
Force applied to the bowl of a Helmholtz resonator acts as a spring ((If acoustic compliance, Ca, increases (less stiff), resonant frequency decreases))
Acoustic Mass
Ma - inertance (similar to inertia of mechanical masses)
Acoustic Compliance
Ca - inverse of stiffness
The larger the mass, the lower the resonant frequency
True
1 multiple choice option
The stiffer a system, the higher the resonant frequency
True
1 multiple choice option
Standing Waves
A pattern of vibration that simulates a wave standing still (vibrating air molecules produce the same pressure variation at the same location) (pressures within the tube appear "frozen" - peaks and nodes are always in the same spot)
Tube Resonators
Tubes of uniform cross-sectional area with both ends open
Any wavelength that has atmospheric pressure at its open ends is a resonant frequency of a tube opened at both ends
True
1 multiple choice option
If you put energy into a tube resonator, you will get a periodic sound
True
1 multiple choice option
Tubes with one end closed
Atmospheric pressure on the open end and greatest pressure along the wavelength on the closed end (if sending different frequencies through the tube, certain ones will produce strong pressure changes) (sound bounces back to the open end)
Spring mass-models and Helmholtz resonators only have one resonant frequency
True
1 multiple choice option
Damping
energy loss in vibratory systems (lightly damped systems or heavily damped systems)
4 factors causing damping:
Friction, absorption, radiation, gravity
Damping factors produce energy at frequencies other than resonant frequency
True
1 multiple choice option
Bandwidth
the maximum amount of data that can be sent in a fixed amount of time, usually measured in bits per second (index of tuning, range of frequencies between 3dB down point on either side of peak energy)
The damper something is, the wider the bandwidth of the spectrum
True
1 multiple choice option
Source
Input signal generated by vibrating vocal folds
Glottal Area Function
shows a graph of the change in glottal area as a function of time during voice production (durations between 1ms - 5ms - 8ms)
Inverse Filtering
look at the "source" of a sound even if we only have a recording of the speech
Characteristics of a signal
- Periodic
- Slope of the opening phase is shallower than that of the closing phase
- Shows time where the vocal folds are open (60%) and apart (40%)
- Complex periodic waveform, not a single sinus sound
Glottal Source Spectrum
Sound produced by the vibrating vocal folds ("source" spectrum is "filtered" by the vocal tract due to resonance)
Complex periodic event
waveform pattern repeats over time (non-sinusoidal shape)
Quasi-periodic
very small variations in successive glottal cycles (voice is this)
"Tilt" of a waveform
the steeper the closing slope, the less tilted the spectrum
Hyperfunctional voices
very rapid closing phase, less than normal tilt, "pressed voice" (cheerleaders, overuse, nodules)
Hypofunctional voices
Slow closing phase, more than normal tilt, weak/breathy voice
Less open time = less tilted spectrum
True
1 multiple choice option
Filter
During vibration, the vocal folds snap shut, airflow is blocked, and air above the vocal folds is compressed/starts a pressure wave (vocal tract as tube closed on one end, no airflow at the vocal folds - airflow at the lips)
Resonance does not change F0 or harmonics
True
1 multiple choice option
First 3 Formants most important for speech:
- Formant 1: 560 Hz
- Formant 2: 1680 Hz
- Formant 3: 2800 Hz
Area function of the vocal tract
a plot of cross-sectional area as a function of distance along the vocal tract from the glottis to the lips
Source + Filter
As the sound wave flows through the vocal tract, some frequencies are amplified (formants) and others dampened (vocal tract shapes the input signal)
Formants
regions of resonance in the vocal tract (horizontal dark bands present for vowels, diphthongs, semi vowels, and nasals) (easy to visualize)
Spectral Envelopes
created by linear predictive code analysis (individual harmonics are less important, so they are often depicted as this - line on top of the curve)
Formant Bandwidths
factors responsible for energy loss are active in the vocal tract (nasal sounds = low intensity)
Absorption
when a frequency is close to the resonant frequency of a surround structure, energy is absorbed which increases damping
Radiation
loss of energy going from an enclosed tube to the open environment
Narrow bandwidths
Vowel resonances are fairly "sharply tuned"
Resonant Frequencies in a constricted tube
Resonance of tube closed at one end - Constriction located at pressure maximum (raises resonant frequency, constriction increase stiffness of air molecules)
The greater the constriction, the greater the increase in resonant frequency
True
1 multiple choice option
Constrictions in tube with multiple frequencies
1. any construction affects affects all resonant frequencies
2. a given resonance may be affected by 2 simultaneous constrictions
perturbation theory
if you change the constriction/shape of the vocal tract, it changes the resonant frequency
Every single harmonic is impacted by a constriction
True
1 multiple choice option
3-parameter model of Stevens and House:
Tongue height, tongue advancement, lip rounding
Tongue height
F1 varies inversely with tongue height (the higher the tongue, the lower the F1) (more pronounced for front vowels vs back vowels)
Tongue advancement
F2 increases and F1 decreases with increasing tongue advancement (F2 increases the constriction to the front)
Lip rounding
all formant frequencies decrease with increased round of the lips (great decrease in F2, less effect on F1 and F3) (the higher the tongue, the larger the decrease)
3rd formant is not easily related to changes in articulatory dimensions
True
1 multiple choice option
Different vocal tract configurations can produce the same f-pattern
True
1 multiple choice option
Resonant Frequency
a frequency that a system likes to vibrate at
F1
tongue height
F2
tongue advancement
Spectrogram
Visual representation of sound frequencies over time
Analog experiments
Electrical components stimulated the vocal tracts (stevens & house developed the whole theory based on an electrical model)
Hunan Experiments
comparing calculated formant patterns from area functions with people producing the same vowels (if the calculated and actual formants match, theory is confirmed)
Vowels are always voiced, continuous and made in an open vocal tract
True
1 multiple choice option
Consonants have constriction in the vocal tract
True
1 multiple choice option
Nasal sounds involve 2 tubes whereas vowels involve only a single tube
True
1 multiple choice option
Glides/liquids are semi-vowels
True
1 multiple choice option