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Oscillation
Regular fluctuation in value, position, or state about a mean value
Sine wave
A simple periodic wave with one frequency component
Simple sound
A sound with one frequency component
Complex sound
A sound with more than one frequency component
Periodic sound
A sound with a repeating waveform pattern
Aperiodic sound
A sound without a repeating pattern
Continuous sound
A sound that continues over time
Transient sound
A brief sound of finite duration
Amplitude
Magnitude of a wave's pressure change
Peak-to-peak amplitude
Measurement from the positive peak of a wave to the negative peak
Baseline-to-peak amplitude
Measurement from the reference line to one peak
Frequency
Number of cycles per second
Hertz
Unit used to measure frequency
Period
Time required to complete one cycle
Frequency-period relationship
Frequency and period are inverses, so f = 1/T and T = 1/f
Wavelength
Distance from one peak or trough of a wave to the next adjacent peak or trough
Wavelength-frequency relationship
If wave speed stays constant, increasing frequency decreases wavelength
Phase
Position of a wave within its cycle, usually measured in degrees
Sound
A vibration that spreads as an audible pressure wave through a medium
Compression wave
The way sound is transmitted through air
Noise
Random unwanted sound that generally carries no useful information
Physical attribute
A measurable property of sound such as amplitude, frequency, or complexity
Psychological correlate
The perceptual experience associated with a physical sound property
Amplitude corresponds to
Loudness
Frequency corresponds to
Pitch
Complexity corresponds to
Timbre
a unit of subjective loudness
Sone
Pitch unit in slides
Mel
Acoustic power
Energy per second
Watt
Unit of power
Sound intensity
Amount of sound energy transmitted per second over a unit area
Intensity unit in MKS
Watt per square meter
Intensity unit in CGS
Watt per square centimeter
Absolute intensity
Actual intensity value in physical units
Relative intensity
Comparison of one sound's intensity with a reference intensity
Decibel
Logarithmic expression of a ratio or relative level
Why decibels are used
Because acoustic values cover a huge range and logs make them easier to handle
Inverse square law
Intensity decreases in proportion to the square of distance from the source
Inverse square law example
If distance doubles, intensity becomes one fourth
Hearing range for frequency from slides
About 20 Hz to 20 kHz
Hearing range for intensity from slides
About 0 dB to 140 dB
Octave band
Frequency band spanning a two-to-one range of frequencies
Scientific notation
Number written as a coefficient between 1.00 and 9.99 times 10 raised to a power
Coefficient
The number between 1.00 and 9.99 in scientific notation
Conventional notation
Standard written form of numbers
Example of scientific notation
250000000 = 2.5 x 10^8
Negative exponent
Means the decimal was moved right to create the coefficient
Logarithm relationship
If x^y = z, then log base x of z = y
Antilog
Reverse of the logarithm process
Nominal scale
Named categories with no numerical order
Ordinal scale
Ordered categories
Interval scale
Ordered scale with equal intervals but no true zero
Ratio scale
Ordered scale with equal intervals and an absolute zero
Complex periodic sound
A sound with multiple frequency components and a repeating pattern
Fundamental frequency
The lowest frequency component in a complex periodic sound
f0
Symbol for fundamental frequency
Harmonics
Frequency components that are integer multiples of the fundamental frequency
Fourier's theorem
A complex wave can be represented as a sum of simple sinusoids differing in amplitude, frequency, and phase
Fourier analysis
Process of decomposing a complex wave into sinusoidal components
Frequency-domain appearance of complex periodic sound
Evenly spaced spectral peaks with a picket-fence appearance
Auditory impression of complex periodic sound
Musical
Sawtooth wave
Complex periodic wave with energy at all harmonics, odd and even
Sawtooth harmonic pattern
Harmonic amplitude decreases as 1 divided by harmonic number
Square wave
Complex periodic wave with energy only at odd harmonics
Triangular wave
A named type of complex periodic wave
Pulse wave
Another named type of complex periodic wave
Sawtooth example
If f0 = 4 V, then second harmonic = 2 V, third = 1.33 V, fourth = 1.0 V
Undistorted signal
A signal whose waveform is reproduced faithfully
Distorted signal
A signal whose waveform shape is altered
Three types of distortion in slides
Frequency distortion, transient distortion, amplitude distortion
Frequency distortion
Different frequencies are not reproduced with the same amplitude
System transfer function
The amplitude response of a system across frequency
Why system transfer function matters
It shows evidence of frequency distortion
Linear system
A system where output changes proportionally with input
Key property of linear system
Output amplitude does not have to equal input amplitude but must change proportionally
Transient distortion
Distortion related to the finite duration of a signal
Amplitude distortion
Distortion caused by nonproportional input-output amplitude behavior
Nonlinear system
A system where output does not change proportionally with input
Difference limen
Smallest perceivable difference between two sounds
JND
Just noticeable difference
Absolute DL
Actual amount of change needed to detect a difference
Relative DL
Absolute DL divided by the starting value
Weber fraction
Relative DL expressed as ΔI divided by I
Weber fraction example
If I = 1000 and ΔI = 50, then Weber fraction = 0.05
Frequency DL
Smallest detectable frequency difference
Relative frequency DL
Δf divided by f
Example frequency DL
If a 1000 Hz tone must change by 3.6 Hz, then absolute DL = 3.6 Hz and relative DL = 0.0036
Three dimensions of differential sensitivity
Intensity, frequency, and duration
Intensity DL
dB change needed to create a just noticeable loudness change
Important note about intensity and loudness
Increase in intensity is not always equal to the same increase in loudness
Binaural summation
Improved sensitivity and greater loudness when both ears are used together
Binaural beats
Perceived beats caused by neural interaction when slightly different frequencies are presented to opposite ears
Pitch
Auditory attribute by which sounds can be ordered on a musical scale
Pitch is the psychological correlate of
Frequency
High frequency sounds are perceived as
High pitch
Low frequency sounds are perceived as
Low pitch
Pitch of a pure tone
Corresponds to its frequency
Pitch of a periodic complex tone
Usually corresponds to the fundamental frequency
Not all pitch changes are perceptible
Pitch discrimination has limits and relates to DLF
Law of reflection for sound
Angle of reflection equals angle of incidence measured from the perpendicular