1) BASIC TASK: TO IDENTIFY THE SOUND SOURCE
2) BASIC PROBLEM: ONE RECEPTOR SURFACE
3) SCHEME:
A) TRANSDUCTION TO A NEURAL CODE4) BASIC ATTRIBUTES OF SIGNAL:
B) PROCESS AND INTEGRATE
PERCEIVE AND RESPOND
FREQUENCY
INTENSITY
TIME
COMPLEX COMBINATIONS
THE BASIC SOUND
BASIC CONCEPTS:
VIBRATION: A FUNCTION OF MASS, ELASTICITY, AND A MOMENTARY FORCEFOURIER ANALYSIS
3) THE SINUSOID:
THE TRIGONOMETRY sin a = A/BPROPERTIES OF A SINUSOID
THE UNIT CIRCLE
SIMPLE HARMONIC MOTION: AMPLITUDE WITH TIME
FREQ. (PERIOD); AMPLITUDE; PHASE; WAVE LENGTHMEASURES OF AMPLITUDE:
INSTANTANEOUS; PEAK; ROOT-MEAN-SQUARE6) A CLASSIC OSCILLATOR A WEIGHT AND A SPRING
PRELUDE: NEWTONS LAW'S OF MOTION
INERTIA AND MOMENTUM
A = F/M or F = M * A
FORCES ARE EQUAL BUT OPPOSITE
VIBRATING OBJECTS EXERT FORCE
FORCE UNITS ARE M * DISTANCE / T * T
[UNITS ARE NEWTONS OR DYNES]
AND DO WORK: W = F * DISTANCE
[UNITS ARE JOULES AND ERGS]
WITH POWER: P = W/TIME
[UNITS ARE WATTS]
NOTE: P = W/T; W = F * D; P = F * (D/T) OR
P = F * VELOCITY
BACK TO THE SPRING AND THE WEIGHT
SUPPOSE MASS IS HIGH: A IS LOW
SUPPOSE MASS IS LOW: A IS HIGH
WHAT ABOUT STIFFNESS OF SPRING?
F = -S * L : SO IF S IS HIGH, L IS LOW
IF S IS LOW, L IS HIGH: FILTER EFFECTS
RELEVANCE TO SOUND
AIR IS ELASTIC, RESISTS DEFORMATION, AND HAS MASS
IMAGINE A VIBRATING OBJECT IN AIR
WAVES OF DENSITY CHANGES: CONDENSATION/RAREFACTION
INCREASES AND DECREASES IN PRESSURE
WAVE HAS FREQUENCY, PHASE AND AMPLITUDE
MEASURES OF AMPLITUDE: PRESSURE OR POWER:
PRESSURE = FORCE/AREA and
POWER = PRESSURE SQUARED
OTHER WAVE CONCEPTS
dB: THE DECIBEL
REDUCES RANGE
FITS SENSATIONS
dB SPL, dB SL, and dB HL
EFFECT OF DISTANCE ON INTENSITY
IMPLICATION FOR HEARING
THE CONCEPT OF IMPEDANCE
THE EFFECTS OF RESISTANCE AND REACTANCE: (MASS ñ STIFFNESS)
THE IMPEDANCE OF OBJECTS:
ZC = DENSITY * SPEED OF SOUND AND
I = PRESSURE-SQUARED / IMPEDANCE
EFFECTS ON AIR TO WATER SHIFT
IMPLICATION FOR HEARINGTHE CONCEPT OF STANDING WAVES, IN STRINGS AND IN PIPES:
SOUND SHADOWS: BLOCKING OF SOUND AND THE WAVELENGTH OF SOUND:
IMPLICATION FOR HEARING
1: FOURIER ANALYSIS
A) FIGURE 4.1 (and others) DEPICTING WAVES IN THE TIME AND FREQUENCY DOMAIN2: NOISE
B) THE FUNDAMENTAL FREQUENCY AND HARMONICS
C) FOURIER ANALYSIS OF CLICKS AND BRIEF STIMULI (FIGURE 4.2)
3: BEATS AND AMPLITUDE MODULATION
A) LARGE F DIFFERENCES: ADDITION
SMALL F DIFFERENCES: BEATSB) AMPLITUDE MODULATION:
4: AN EXAMPLE OF AN EXPERIMENT USING COMPLEX STIMULI: AMPLITUDE MODULATED FREQUENCY MODULATION AND EVOKED POTENTIALS
Stefanatos, Green, & Ratcliff (1989)