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The Human Auditory System CMPT 468: Psychoacoustics Tamara Smyth, [email protected] School of Computing Science, Simon Fraser University • The Human Auditory System Consists of 1. the Outer ear 2. the Middle ear 3. the Inner ear November 22, 2013 Figure 1: A schematic of the outer, middle, and inner ear (illustrations of the latter two have been enlarged) (from Rossing p. 81). 1 CMPT 468: Psychoacoustics The Outer Ear 2 The Middle Ear • The middle ear consists of the eardrum, to which three small bones, called the ossicles, are attached. • The outer ear consists of the 1. the pinna, 2. the auditory canal, 3. and is terminated by the eardrum (or tympanic membrane). • The eardrum changes pressure variations of incoming sound waves (through the ear canal) into mechanical vibrations which are then transmitted via the ossicles to the inner ear. Figure 2: The outer ear. Figure 3: The middle ear. • The pinna acts as a filter, helping us localize sounds. • The auditory canal acts as an acoustic tube closed at one end and serves to boost hearing sensitivity in the range 2000-5000 Hz (the range of the human voice). CMPT 468: Psychoacoustics 3 • Because the eardrum seals the middle and outer ear, the Eustachian tube, which connects the middle ear to the oral cavity, is needed to equalize these two pressures. CMPT 468: Psychoacoustics 4 The ossicles in the Middle Ear The Inner Ear • The cochlea transforms pressure variations into properly coded neural impulses. • The ossicles transform small changes in pressure exerted by a sound wave, to a much greater pressure on the oval window of the inner ear. – The lever action in the ossicles provides a factor of about 1.5 in force multiplication 1. – Recall the pressure is equal to force/area. Since the area of the oval window is about 1/20th that of the eardrum, the transmitted pressure to the inner ear is about 20 × 1.5 = 30 times greater. • As a first approximation, consider an unraveled cochlea and only two main sections, the scala vestibule and the scala tympani, separated by the basilar membrane. • The oval and round windows are at the larger end of the cylinder, and a small hole is at the smaller end to connect the two sections. Figure 4: The inner ear. 1 Levers can be used to exert a large force over a small distance at one end by exerting only a small force over a greater distance a the other. CMPT 468: Psychoacoustics 5 Basilar Membrane CMPT 468: Psychoacoustics 6 The organ of Corti • The basilar membrane stops just short of the end of the cochlea to allow the fluid to transmit pressure waves around the end of the membrane. • The organ of Corti contains several rows of tiny hair cells to which nerve fibers are attached. • When the stapes vibrates against the oval window, pressure waves are transmitted rapidly down the scala vestibule, introducing ripples in the basilar membrane. – Higher tones create higher amplitude ripples in the region near the oval window (where the basilar membrane is narrow and stiff). – Low tones create higher amplitude ripples in the region at the far end (where the membrane is slack). • Each hair cell has many hairs (stereocilia), that bend when the basilar membrane responds to sound. • When the basilar membrane vibrates, the stereocilia bend and generate nerve impulses (in the auditory nerve) that travel to the brain at a rate dependent on both the intensity and the frequency of the sound. • The mechanical vibrations of the basilar membrane are converted to electrical impulses in the auditory nerve via the organ of Corti. CMPT 468: Psychoacoustics 7 CMPT 468: Psychoacoustics 8 Auditory System Summary Signal Processing in the Auditory System • Sound waves propagate through the ear canal and excite the eardrum. • The stapes, the inner most ossicle of the ear, vibrates against the oval window and causes pressure variations in the cochlea, which in turn excite mechanical vibrations in the basilar membrane. • The vibrations of the basilar membrane cause the stereocilia of the organ of corti to transmit electrical impulses to the brain via the auditory nerve. • Signal processing is done in the ears and in the auditory nervous system (the brain). • Each auditory nerve fiber responds over a certain range of frequencies (and sound pressures) but has a characteristic frequency at which it is most sensitive. • Two pure tones with frequencies 523 Hz and 1046 Hz (an octave apart) respectively, will each have a frequency response curve on the basilar membrane (i.e. an amplitude envelope). CMPT 468: Psychoacoustics 9 CMPT 468: Psychoacoustics 10 • How do you account for the dip in the region of 2-kHz? Loudness Level • See lab experiment 1:FrequencyAndLoudness.pd • The sensitivity of the ear varies with frequency and quality of sound. • This is shown by the equal loudness curves, determined experimentally by Fletcher and Munson, which show the sound pressure level (SPL) required for different frequencies to sound equally loud. • The equal-loudness curves are expressed in phons: phon , SPL in dB at a frequency of 1000 Hz. • Note: you may also come accross the term sone: sone , 40 phons chosen so that doubling the number of sones corresponds to doubling the perceived loudness. Figure 5: Equal-loudness curves for pure tones (expressed in phons). • The equal loudness curves show that a sound at low frequencies must be at a much higher sound pressure level (SPL) to sound equally loud as a tone at a higher frequency with a lower SPL. • This illustrates the insensitivity of the ear to sounds of low frequency. CMPT 468: Psychoacoustics 11 CMPT 468: Psychoacoustics 12 Two sounds of the same frequency sound softer than two sounds of different frequencies • A tone at a certain frequency will create a disturbance on the basilar membrane (BM) which will spread over a certain length on either side of the point of maximum displacement. • The nerve endings in the BM are excited over this narrow region, called the critical band, which correspond to a range of frequencies above and below the frequency of the incoming sound. • The critical band (bandwidth) varies with frequency: – It is about 90 Hz wide for a sound frequency of 200 Hz, increasing to a width of about 900 Hz for a 5000 Hz sound. – This corresponds to a region on the BM of essentially 1.2 mm (covering a range of about 1300 receptor cells). • Once the BM is excited at a particular frequency, a considerable increase in sound intensity is required to produce a perceived increase in loudness. • Exciting the BM at one point doesn’t decrease it’s sensitivity at another point outside the CB. • Therefore, two frequencies not in the same CB give an impression of greater loudness than if the frequencies are within the same CB. 80 Center frequency = 1 k Hz 75 Loundess Level (phons) Critical Bands Sound pressure level = 60 dB 70 65 Critical Band 60 55 100 200 500 1000 2000 Bandwidth (Hz) Figure 6: The effect of bandwidth on loudness. CMPT 468: Psychoacoustics 13 CMPT 468: Psychoacoustics 14 Masking • If we listen to two pure tones having the same sound pressure level but with increasing frequency separations, when the frequency separation exceeds the CB, the total loudness begins to increase. • This explains why broadband sounds, such as jet aircraft, seem louder than pure tones having the same SPL. • See lab experiment 2: CBusingLoudness.pd • When the ear is exposed to two or more different tones, one of the sounds may mask, or obscure, the other(s). • The “stronger” sound, or masker, effectively raises our threshold of hearing so that the “weaker” sound must have a higher intensity in order to be heard. • Masking can occur when a sound (the maskee) occurs a split second after the masker. This is referred to as forward masking, and suggests stimulated cells are not as sensitive as fully rested cells. • Masking can also occur when the masker begins up to ten milliseconds later, referred to as backward masking. • In lab experiment 3 we will derive masking curves for two maskers (220 Hz and 2200 Hz). • Lab experiment 3: Masking.pd CMPT 468: Psychoacoustics 15 CMPT 468: Psychoacoustics 16