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106 Cards in this Set
- Front
- Back
Inverse-square law
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Intensity= Power/area= P/4πr2
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When does intensity fall off for sound
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as 1/r2
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when will the inverse-square law fail?
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when you have reflections, absorption, or background noise
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span of practical intensities
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1 pW/m2 to 1 W/m2
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Softest sound you can hear:
“Threshold of hearing” |
I0 (0 dB) = 0.000000000001 W/m2
(10−12 W/m2 or 1 picowatt per sq. meter) |
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Sound loud enough to cause pain:
“Threshold of pain” |
1 W/m2 (120 dB)
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Response of most senses, including hearing, is....
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logarithmic. The incremental sensation is proportional to the ratio. Lighting 100 candles after 10 feels like the same change as lighting 10 candles after 1.
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intensity level=
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L=10 log (I/Isub0)
unit: dB |
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range of sound
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0-120 dB
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why should you not use the full range of in music?
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Below some level will be inaudible for some, above some level will cause pain and permanent damage
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useable working range
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~60dB (from 40-100dB)
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standard dynamic levels
forte, piano, ff, pp |
ff (fortissimo) = 10−3 W/m2 == 90 dB
f (forte) = 10−4 W/m2 == 80 dB p (piano) = 10−6 W/m2 == 60 dB pp (pianissimo) = 10−7 W/m2 == 50 dB |
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is intensity or pressure easier to measure?
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pressure
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sound pressure level (SPL) =
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Lp = 20 log (P/Psub0)
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how will pressure variation drop?
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1/r
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typical levels of sound sources: rock music, city traffic, whisper, shout, urban street, living room, rustling leaves
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110dB, 70, 20, 100, 80, 40, 10
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purposes of the pinna
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1. funnel and concentrate feeble signals
2.resonate at speech frequencies 3. multiple reflections cause interference which aid localization |
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what do multiple reflections from the pinna produce?
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direction dependent fine structure in the spectrum reaching the eardrum
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What then is the reason for the barn owl’s excellent hearing acuity?
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An owl’s whole head acts like a pinna (it has a concave shape)
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purposes of the ear canal
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(1) channels sound to the ear drum (tympanic membrane)
(2) resonates and amplifies speech frequencies. |
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what does the eardrum do?
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It converts air vibrations to solid vibrations. It is a resonator in reverse. Provides (some) impedance matching from air to a solid.
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what are the ossicles?
What do they do? |
three smallest bones in body. they do not grow
Transmit these vibrations to the oval window of the liquid filled cochlea. and once again resonate at speech frequencies. |
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how does bone size reflect animal lifestyle?
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Small bones for bats that need to detect high frequencies; large bones for rats that need to hear low-freq sounds (slithering snakes, wings, etc.)
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Why transmit vibrations from one membrane to another through a series of bones? Why not simply expose the oval window to incident sound?
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Because of vastly different densities of air and water, there is an impedance mismatch and the transmission coefficient is only ~ 1%.
• Ossicles provide lever action (crowbar) giving a 1:1.3 mech. advantage. • Hydraulic amplification provides another 20-fold boost in pressure. • Total pressure amplification = 26 |
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what is the acoustic reflex
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Muscle restraint of ossicle movements for protection against loud sounds.
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how does the acoustic reflex work
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1) Stirrup is pulled away from the oval window and
(2) the eardrum is tightened. |
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what is the reaction time for acoustic reflex
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Reaction time ~ 1/100 s (too slow for gunshots). T
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what is one of the loudest sounds you are often exposed to?
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your own voice esp vowels. Hence muscles tug following intonation of syllables. Strangely this protection occurs even during subvocalization (“mind’s voice”).
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what causes hearing loss in the external ear regions?
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1. Water retention:
2. Wax buildup: 3. Tympanum rupture (caused by insertion of sharp things, pressure changes, disease, etc): |
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what cause hearing loss in the middle ear?
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1. Blocking of the eustachian tube causes unequal inner and outer pressures. Pressure differences get trapped after sudden changes in elevation (flying) or depth (diving).
2. Fluid/infections in the middle ear: “tubes” can drain fluid. Prolonged fluid accumulation can dissolve the ossicles leading to permanent loss. 3. Arthritis of the ossicles can keep bones from moving freely. |
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what are the two main subsystems of the inner ear
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1. vestibular system (govern balance)
2. cochlea (organ of hearing) |
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evolution of vestibular system:
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provided balance and orientation in fish; hearing organ; 3 chambered cochlea found in mammals
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why are problems often shared between the cochlea and vestibular system?
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because fluids are shared between the two
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Threshold Basilar Membrane (BM) displacement?
and who discovered it |
Smallest detectable displacement
~ 100 fm=0.1 pm = 1/10,000 nm! Determined by Békésy in 1960 He received the Nobel prize in 1961 |
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Tonotopy
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Each frequency resonantly excites a certain point on the BM maximally
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tonotopy vibration max and mins
it is the reason for what? |
The vibration maximum is near the cochlear entrance (oval window) for highs and at the farthest end (helicotrema) for lowest frequencies. Maximum moves by ~4mm per octave. This motion is the reason for the logarithmic sensation scale.
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critical range
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tonotopy excites hair cells within a certain vicinity. It occupies 1.2mm spatially and 1/3 octave tonally.
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what causes dissonance of close notes?
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Frequencies within this critical range aren’t clearly separated
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which hair cells and thus frequencies are the first to go?
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hair cells near the entrance; high frequencies
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cochlear amplifier
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This active feedback system stimulates the OHCs to vibrate and resonantly amplify weak sounds while acting as an active cancellation system to reduce loud sounds through destructive interference so as to protect the IHCs.
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what provides basis for hearing test in infants?
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cochlear amplifier
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what can damage the cochlear amplifier
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high androgen levels during gestation
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official frequency range for a young healthy listener
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16 hz - 18kHz
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how are hearing tests conducted
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1. behavioral response to tones
2. auditory brainstem response 3. otoacoustic emmissions |
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otoacoustic emissions
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the sounds outer hair cells emit
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what kind of otoacoustic emissions are there?
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both spontaneous and evoked
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the stronger the OAE, the...
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better the sensitivity and the better the protection of an individual’s hearing
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types of hearing loss in the inner ear
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conductive loss and sensorineural loss
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conductive loss
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problems in the external/middle ear that prevent sound from reaching the cochlea.
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sensorineural loss
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hearing loss from inner ear damage, i.e., hair cell loss. (Similar to retinal damage in the eyes.)
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loudness recruitment
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loss of outer hair cells reduces the dynamic range (afflicted Beethoven)
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how can excessive amplification through hearing aids accelerate hearing loss
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through further hair cell destruction
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presbyacusis
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gradual loss of high-frequency sensitivity with age
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tinnitus: what is it, how is it caused, what can aggregate it, what can alleviate it
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ringing in the ears; results from irritation of the nerves producing “false alarms”. Caffeine and NSAIDS (ibuprofen, aspirin, etc.) aggravate tinnitus. Nicotinic acid (e.g., Slow Niacin), Gingko Biloba, etc. can alleviate it
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how can caffeine damage the inner ear
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it builds up pressure in the inner ear
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what can alleviate nerve inframmation in inner ear
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certain steroidal preparations such as prednisone
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what can mitigate hearing loss after exposure of hair cells to free radicals and other toxic chemicals?
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magnesium and vitamins a,c,e
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foam and silicone earplugs
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18-31dB
disadvantage: too much high frequency absorption and get worn quickly |
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musicians earplugs
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15 or 25 dB with flat response
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earmuffs
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22-33 dB; easy to put on, take off; can be worn with earplugs;
disadvantage: too much high frequency absorption, eventually cushions get worn |
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active cancellation sets
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A microphone senses the incoming (low-frequency) sound and feeds back an inverted replica of this through built in speakers. Interference then cancels the incoming sound. This works well only at low frequencies. Excellent for flights. More affordable now.
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how to prevent hearing loss on motorcycles
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(1) Wear foam earplugs,
(2) insert balloons inside the helmet, (3) use a helmet with a chin guard to break the wind to prevent helmet resonance from “wind on the chin” |
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what is the job of the brain in hearing?
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The ear provides (continuous and messy) streams of signals broken down by frequency.
All kinds of information (freqs. present, locations, etc.) needs to be extracted from incoming sound. Perceptual grouping of information needs to take place. |
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what are the two very broad characteristics of sound that need to be determined?
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What (pattern recognition) and where (localization).
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What 4 characteristics are important for music?
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Frequency (pitch), intensity (loudness), timing (rhythm), timbre
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sensory inputs for computer vs body
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camera, microphone, mouse
retina, organ of corti, tactile touch sensors |
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analog sensory signal
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Bent hairs allow positive potassium ions to enter raising the voltage
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what kind of cell is a haircell
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receptor cell
A receptor cell has a continuously variable voltage. A neuron either fires or doesn’t. |
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how many frequency channels of raw info do the inner hair cells provide
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4000
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how many auditory nerves are contacted by IHCs
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~8
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why are there multiple copies of each signal?
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The fast nerves are like using high ISO-sensitivity in analog and digital photography, which allows a greater (shutter) response speed.
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Why then would you want to use a lower ISO setting at all?
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There is a trade off between speed and signal-to-noise ratio.
Faster representations tend to be noisier and less clean. |
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signals coming from the auditory nerves fibers are crude and weak. Where is the preconditioning and cleanup done?
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the cochlear nucleus
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how does the brain judge musical sounds?
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the brain needs to determine the frequency (to decide the pitch) and relative intensities between different frequencies (to get the timbre from the spectrum and harmonic amplitudes).
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why can't you compare frequencies with raw auditory nerve signals?
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you need a moving average which is the job of the bushy neuron in the cochlear nucleus
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what does the bushy neuron help decipher?
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pitch and spectrum
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one factor that governs timber (think of a piano)
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attack; the sharper the attack, the closer in time will all freq. components begin together
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how do octopus neurons measure attacks?
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through synchronicity
Their leaky cell membranes cause them to fire only when multiple frequencies arrive simultaneously as in a sound with a rapid “attack”. |
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How can you encode intensity (loudness) if nerves fire with a fixed amplitude?
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Stellate cells in the cochlear nucleus encode intensity through their firing rates.
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how to determine localization
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elevation, azimuth, and distance cues
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elevation cues
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Multiple reflections from the pinna produce direction dependent structure (minima/maxima) in the spectrum, which is decoded in the DCN (dorsal cochlear nucleus) yielding elevation info.
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bipolar neurons
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a type of cell that fire when both inputs arrive simultaneously
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How will you design a circuit that can encode angle of arrival of sound (the azimuth) using a bank of bipolar neurons and nerve fibers of different lengths?
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having an array of bipoloar neurons with different nerve lengths going to the right and left cochleas will cause different ones to fire depending on which one receives the two signals simultaneously. Since the nerve lengths are different, the sound would have to reach the two ears at different times to compensate for the internal delay.
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what do these neurons encode?
bushy stellate octopus pyramidal cells bipolar cells |
frequency info
intensity info synchronicity info elevation left-right time level differences |
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• Reflection delays of ~5 to 35 ms:
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associated with the same location as the earliest (direct) sound (brain selectively ignores location of reflection): broadening & definition.
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• Delays longer than 80 ms:
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usually heard as separately located echoes.
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• Very early reflections (within a few ms):
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produce summative localization. Stereo sound relies on this. This causes smearing and spaciousness (intimacy for live sound, bad news for reproduced sound).
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chain of decaying reflections
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reverberation and ambiance
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why does the brain hide info
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so that you are not overwhelmed with info and can make timely decisions
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precedence effect
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hides irrelevant locations of reflections
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stream segmentation
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fuses associated harmonics together so that you hear one single tone.
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Franssen Effect
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Direction of sound is associated with the high-frequency components related to the onset rather than the low- frequency components even when the latter carry most of the energy.
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what does the franssen effect allow for?
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low-frequency integration and the use of monophonic (vs stereophonic) subwoofers in less critical applications (but not Hi Fi!)
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why is it important to sit on the midline between stereo speakers
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– to allow proper summative localization
Need sufficient distance from reflecting walls to provide ambience without smearing and blurring (3’ is minimum, >5’ is better). |
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what will improve the overall imaging
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Stereo subwoofers improve overall imaging
(time alignment between subs and main speakers is critical to 1⁄2”). |
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good qualities of a concert hall
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good mixture of direct and early reflected sound
• Avoid echoes, especially flutter echoes (mainly sides not floor-ceiling) – use splaying and treatment. |
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Why do we prefer early reflections/reverb from the side rather than the ceiling?
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what does reverb do?
reverb time for chamber music, mozart concerto, mahler symphony, church music |
extends sonic memory for complex pieces – needed to build up relationships. Desirable reverberation times: 1 sec. for chamber music, 1.5 s for a Mozart concerto; 2.25 for a Mahler symphony; much longer for church music for choir and organ (some cathedrals have ~7 sec reverb. time)
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direct sound for
very early reflection for early sound for strong reverb for long reverb for |
localization
intimacy definition big sound warmth |
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the science of reverberation
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A sharp initial sound will ricochet off walls infinite times and produce and uniform isotropic reverberant sound field like smoke filling a room.
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outer hair cell provides
inner hair cell is like a number of each |
active cancellation, amplification, and sharpening
microphone 4000 IHCs vs 12000 OHCs |
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why is hearing so effective and impactive
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massive neural processing
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overall size of the organ of corti
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1/250th of an inch
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how does the organ of corti work?
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The basilar membrane vibrates the hair cells against the tectorial membrane, or "roof"
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difference between analog and digital binary signals?
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initial signals are analog voltages
final signals are binary digital signals |
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describe the first step of the analog sensory signal
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bent hairs allow positive potassium ions to enter raising the voltage
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