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Auditory Perception Rob van der Willigen http://~robvdw/cnpa04/coll1/AudPerc_2007_1.ppt Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Today’s goals Outline of The Course Introduction to the field of Auditory Perception Understanding the physical nature of sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. General Outline P1-P2 P1: Auditory Perception - The Problem of Audition - The Physical Characteristics of Sound P2: The Mammalian Auditory System - Mechanotransduction - Neuroanatomical organization Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. General Outline P3-P5 P3-P5: Sound Localization - Neural Correlates in Birds and Mammals - Plasticity and Development - Coordinate Transformation - Measuring Sound Localization Behaviour Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. General Outline P6-P10 P6-P10: Perceptual Dimensions of Hearing - Psychophysics: Measuring Perception - Perception of Sound Level & Loudness - Masking & Critical Band - Illusions & Scene Analysis Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Assignments Individual Assignments: - Reading (research papers) - Writing Succinct Essays Group assignments (Pairs): - Write Matlab Scripts - Write Brief Data Reports Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Examinations Students must complete all assignments with a satisfactory record. All assignments must be typed and completed within one week. Grading will occur within one week. Students will take a written, final exam with open, closed book questions. P1: Psychology of Hearing Rob van der Willigen http://~robvdw/cnpa04/coll1/AudPerc_2007_1.ppt Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Audition (Hearing) “Detecting and recognizing a sound are the result of a complex interaction of physics, physiology, sensation, perception and cognition.” John G. Neuhoff (Ecological Psychoacoustics 2004; p. 1) Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Psychoacoustics Auditory Perception or Psychoacoustics is a branch of Psychophysics. Psychophysics studies relationships between perception and physical properties of stimuli. Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Physical vs. Perceptual Dimensions Physical Dimensions: Fundamental measures of a physical stimulus that can be detected with an instrument (e.g., a light meter, a sound level meter, a spectrum analyzer, a fundamental frequency meter, etc.). Perceptual Dimensions: These are the mental experiences that occur inside the mind of the observer. These experiences are actively created by the sensory system and brain based on an analysis of the physical properties of the stimulus. Perceptual dimensions can be measured, but not with a meter. Measuring perceptual dimensions requires an observer. Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Psychoacoustics Psychoacoustics is the study of subjective human perception of sounds. Psychoacoustics can be described as the study of the psychological correlates of the physical parameters of acoustics. Acoustics is a branch of physics and is the study of sound. Sensory Coding and Transduction Sensory Coding and Transduction A Sensor Called Ear Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Outer Ear: - Extents up to Eardrum - Visible part is called Pinna or Auricle - Movable in non-human primates - Sound Collection - Sound Transformation Gives clues for sound localization Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Elevation (deg) +60 +40 +20 0 -20 -40 Frequency The Pinna creates Sound source position dependent spectral clues. “EAR PRINT” Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Middle Ear: (Conductive hearing loss) - Mechanical transduction (Acoustic Coupling) - Perfect design for impedance matching Fluid in inner ear is much harder to vibrate than air - Stapedius muscle: damps loud sounds Three bones (Ossicles) A small pressure on a large area (ear drum) produces a large pressure on a small area (oval window) Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Inner Ear: The Cochlea is the auditory portion of the ear Cochlea is derived from the Greek word kokhlias "snail or screw" in reference to its spiraled shape, 2 ¾ turns, ~ 3.2 cm length Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System The cochlea’s core component is the Organ of Corti, the sensory organ of hearing Cochlear deficits cause Sensorineural hearing loss Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System The Organ of Corti mediates mechanotransduction: The cochlea is filled with a watery liquid, which moves in response to the vibrations coming from the middle ear via the oval window. As the fluid moves, thousands of hair cells are set in motion, and convert that motion to electrical signals that are communicated via neurotransmitters to many thousands of nerve cells. Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System The organ of corti is the hearing sense organ and lies on the BM (basilar membrane) It consists of supporting cells and hair cells 2 groups of hair cells: inner and outer hair cells Protruding from each hair cell are hairs called stereocilia The tectorial membrane lies above the stereocilia, shearing motion between BM and tectorial membrane causes stereocilia to be displaced Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System The auditory nerve consists of vestibular and cochlear nerve Cochlear nerve: the axon fibres of neurons whose cell bodies are in the spiral ganglion of the cochlea. Dendrites of these neurons synapse with the hair cells. The cochlear nerve transmits hearing information from cochlea to central nervous system. Important findings from recording impulses in single auditory nerve fibres are: Spontaneous firing, frequency selectivity of fibres, phase locking. Sensory Coding and Transduction Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Peripheral Auditory System Six basic steps: Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Problem of Hearing Now we know the sensor of the process called hearing. It leaves open, however, the question of how sound is actually encoded at the sensory level. Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Problem of Hearing “Only by being aware of how sound is created and shaped in the world can we know how to use it to derive the properties of the sound-producing events around us.” Albert S. Bregman (Auditory scene analysis, 1999; p. 1) Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Adequate Stimulus to Hearing Sound is a longitudinal pressure wave: a disturbance travelling through a medium (air/water) http://www.kettering.edu/~drussell/demos.html Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Adequate Stimulus to Hearing Duration Compression Particles do NOT travel, only the disturbance Particles oscillate back and forth about their equilibrium positions Decompression or rarefaction Compression Distance from source http://www.glenbrook.k12.il.us/GBSSCI/PHYS/Class/sound/u11l2a.html The Adequate Stimulus to Hearing Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Type of waves Transverse waves Longitudinal waves http://www.physics.usyd.edu.au/~gfl/Lecture/GeneralRelativity2005/ Physical Dimensions of Sound Amplitude (A) Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. http://www.physpharm.med.uwo.ca/courses/sensesweb/ Pressure Amplitude High LOUD sound Large change in amplitude Low SOFT sound Small change in amplitude Time or Distance from the source In air the disturbances travels with the 343 m/s, the speed of sound Amplitude is a measure of pressure Physical Dimensions of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Frequency (f) ; Period (T) ; Wavelength (λ) LOW pitched sound Low frequency Long wavelength Pressure changes are slow Pressure High Low HIGH pitched sound High frequency Short wavelength Pressure changes are fast One cycle Time or Distance from source T is the Period (duration of one cycle) λ is wavelength (length of one cycle) f is frequency (speed [m/s] / λ [m]) or (1/T[s]) The Mathematics of Waves The Pure Tone Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. x ( t ) A sin( 2 ft ) • has infinite duration, but only one frequency • is periodic and has a phase • is known as the “harmonic function” x ( t ) A sin( t ) = 2 f, is the angular frequency [rad/s] = is phase, t is time The Mathematics of Waves Phase () Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. x(t ) A sin( t ) x(t ) A sin( t ) Phase is a relative shift in time or space The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Superposition Waves can occupy the same part of a medium at the same time without interacting. Waves don’t collide like particles. Two waves (with the same amplitude, frequency, and wavelength) are traveling in opposite directions. The summed wave is no longer a traveling wave because the position and time dependence have been separated. The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Superposition Waves can occupy the same part of a medium at the same time without interacting. Waves don’t collide like particles. Waves in-phase (=0) interfere constructively giving twice the amplitude of the individual waves. When the two waves have opposite-phase (=0.5 cycle), they interfere destructively and cancel each other out. The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Superposition Most sounds are the sum of many waves (pure tones) of different Frequencies, Phases and Amplitudes. At the point of overlap the net amplitude is the sum of all the separate wave amplitudes. Summing of wave amplitudes leads to interference. Through Fourier analysis we can know the sound’s amplitude spectrum (frequency content). The Mathematics of Waves Fourier’s Theorem Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Jean Baptiste Fourier (1768-1830) Any complex periodic wave can be “synthesized” by adding its harmonics (“pure tones”) together with the proper amplitudes and phases. “Fourier analysis” Time domain “Fourier synthesis” Frequency domain The Mathematics of Waves Fourier’s Theorem Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Linear Superimposition of Sinusoids to build complex waveforms x(t ) A0 An cos( n t n ) n 1 If periodic repeating n n1 The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Fourier synthesis “Saw tooth wave” The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Fourier synthesis “Square wave” The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Fourier synthesis “Pulse train wave” The Mathematics of Waves Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Fourier Analysis Transfer from time to frequency domain Time domain Frequency domain Superposition Physical Dimensions of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Amplitude - height of a cycle - relates to loudness Wavelength (λ) - distance between peaks Phase ( ) - relative position of the peaks Frequency (f ) - cycles per second - relates to pitch Summary Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Problem of Hearing Now we know the sensor of the transduction process called hearing. And we know a little about the physical nature of sound (Acoustics). So it should be possible to understand how sound is encoded at the sensory level. Sensory Coding of Sound Outer Hair cells Organ of Corti Inner Hair cell Auditory nerve Basilar Membrane Sensory Coding of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Travelling Wave Theory Periodic stimulation of the Basilar membrane matches frequency of sound Travelling wave theory von Bekesy: Waves move down basilar membrane stimulation increases, peaks, and quickly tapers Location of peak depends on frequency of the sound, lower frequencies being further away Sensory Coding of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Place Theory Travelling wave theory von Bekesy: Waves move down basilar membrane Location of the peak depends on frequency of the sound, lower frequencies being further away Location of the peak is determined by the stiffness of the membrane Sensory Coding of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Cochlear Fourier Analysis Periodic stimulation of the Basilar membrane matches frequency of sound High f Med f Location of the peak depends on frequency of the sound, lower frequencies being further away Low f BASE APEX Position along the basilar membrane Sensory Coding of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Sensory Input is Tonotopic Thick & taut near base Thin & floppy at apex TONOTOPIC PLACE MAP LOGARITHMIC: 20 Hz -> 200 Hz 2kH -> 20 kHz each occupies 1/3 of the basilar membrane Sensory Coding of Sound Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Sensory Input is Non-linear The COCHLEA: Decomposes sounds into its frequency components Represents sound TONOTOPICALLY Has direct relation to the sounds spectral content Has NO linear relationship to sound pressure Has NO direct relationship to the sound’s location in the outside world Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. Perceptual Attributes of Sound Pitch (not fundamental frequency) Loudness (not intensity) Timbre (not spectrum envelope or amplitude envelope) The terms pitch, loudness, and timbre refer NOT to the physical characteristics of sound. They refer to the mental experiences that occur in the brains of listeners. Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. 24/05/2017 Joseph Dodds 2006 53 The Problem of Hearing Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. “Sound has no dimensions of space, distance, shape, or size; and the auditory periphery of all known vertebrates contains peripheral receptors that code for the parameters of the sound pressure wave rather than information about sound sources per se.” William A. Yost (Perceiving sounds in the real world, 2007; p. 3461) Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Problem of Hearing Tonotopie blijft in het auditief systeem tot en met de auditieve hersenschors behouden. “De samenstelling van een geluid uit afzonderlijke tonen is te vergelijken met de manier waarop wit licht in afzonderlijke kleuren uiteenvalt wanneer het door een prisma gaat .” John A.J. van Opstal (Al kijkend hoort men, 2006; p. 8) Q uickTim e™ an d a TI FF (LZW) decom pr esso r ar e nee ded t o se e t his pictur e. The Problem of Audition Problem I: Sound localization can only result from the neural processing of acoustic cues in the tonotopic input of the (two) ear(s)! Problem II: How does the auditory system parse the superposition of distinct sounds into the original acoustic input? Periodicity of waves: time and space Announcements 1. This week, we will have the first lab, entitled “Introduction to harmonic waves and Fourier (Spectrum Analysis)” 2. Read the print outs. 3. Importantly, the section MATLAB PRIMER is a complementary material for the very first lab. 4. This week’s reading assignment. 2005Syracuse University 11 The basic relation underlying all waves: Wave-speed equals frequency times wavelength. In symbols, v = fλ. This equation is called the wave-relation. Unit for wave-speed is: [v] = 1 m/s