Masking, the Critical Band and Frequency Selectivity
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Modeling of the Head-Related Transfer Functions for Reduced Computation and Storage Charles Duncan Lueck Iowa State University
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 1995 Modeling of the head-related transfer functions for reduced computation and storage Charles Duncan Lueck Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Electrical and Electronics Commons Recommended Citation Lueck, Charles Duncan, "Modeling of the head-related transfer functions for reduced computation and storage " (1995). Retrospective Theses and Dissertations. 10929. https://lib.dr.iastate.edu/rtd/10929 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This mamiscr^t has been reproduced fFom the microfilin master. UMI films the text directly from the origmal or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from ai^ type of con^ter printer. Hie qnallQr of this repfodnction is dqiendent opon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, prim bleedthroug^ substandard marginc^ and in^^rqper alignment can adverse^ affect rq)roduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyri^t material had to be removed, a note will indicate the deletion. Oversize materials (e.g^ maps, drawings, charts) are reproduced sectioning the original, beginning at the upper left-hand comer and continuing from left to light in equal sections with small overk^ Each original is also photogrs^hed in one exposure and is included in reduced form at the bade of the book. -
An Experiment in High-Frequency Sediment Acoustics: SAX99
An Experiment in High-Frequency Sediment Acoustics: SAX99 Eric I. Thorsos1, Kevin L. Williams1, Darrell R. Jackson1, Michael D. Richardson2, Kevin B. Briggs2, and Dajun Tang1 1 Applied Physics Laboratory, University of Washington, 1013 NE 40th St, Seattle, WA 98105, USA [email protected], [email protected], [email protected], [email protected] 2 Marine Geosciences Division, Naval Research Laboratory, Stennis Space Center, MS 39529, USA [email protected], [email protected] Abstract A major high-frequency sediment acoustics experiment was conducted in shallow waters of the northeastern Gulf of Mexico. The experiment addressed high-frequency acoustic backscattering from the seafloor, acoustic penetration into the seafloor, and acoustic propagation within the seafloor. Extensive in situ measurements were made of the sediment geophysical properties and of the biological and hydrodynamic processes affecting the environment. An overview is given of the measurement program. Initial results from APL-UW acoustic measurements and modelling are then described. 1. Introduction “SAX99” (for sediment acoustics experiment - 1999) was conducted in the fall of 1999 at a site 2 km offshore of the Florida Panhandle and involved investigators from many institutions [1,2]. SAX99 was focused on measurements and modelling of high-frequency sediment acoustics and therefore required detailed environmental characterisation. Acoustic measurements included backscattering from the seafloor, penetration into the seafloor, and propagation within the seafloor at frequencies chiefly in the 10-300 kHz range [1]. Acoustic backscattering and penetration measurements were made both above and below the critical grazing angle, about 30° for the sand seafloor at the SAX99 site. -
1 Study Guide for Unit 5 (Hearing, Audition, Music and Speech). Be
Psychology of Perception Lewis O. Harvey, Jr.–Instructor Psychology 4165-100 Andrew J. Mertens –Teaching Assistant Spring 2021 11:10–12:25 Tuesday, Thursday Study Guide for Unit 5 (hearing, audition, music and speech). Be able to answer the following questions and be familiar with the concepts involved in the answers. Review your textbook reading, lectures, homework and lab assignments and be familiar with the concepts included in them. 1. Diagram the three parts of the auditory system: Outer, middle and inner ear. How is sound mapped onto the basilar membrane? Know these terms: pinna, concha, external auditory canal, tympanic membrane, maleus, incus, stapes, semicircular canals, oval and round windows, cochlea, basilar membrane, organ of Corti, Eustachian tube, inner, outer hair cells. 2. What are the three main physical dimensions of the sound stimulus? What are the three main psychological dimensions of the sound experience? What are the relationships and interdependencies among them? 3. How does the basilar membrane carry out a frequency analysis of the physical sound stimulus? 4. What are roles of the inner and the outer hair cells on the organ of Corti? 5. What is the critical band? Describe three different methods for measuring the critical band. 6. According to Plomp and Levelt (1965), how far apart in frequency must two sine wave tones be in order to sound maximally unpleasant? Why do some musical notes (e.g., the octave or the fifth) sound consonant when played together with the tonic and some other notes (e.g., the second or the seventh) sound dissonant when played with the tonic? 7. -
AN INTRODUCTION to MUSIC THEORY Revision A
AN INTRODUCTION TO MUSIC THEORY Revision A By Tom Irvine Email: [email protected] July 4, 2002 ________________________________________________________________________ Historical Background Pythagoras of Samos was a Greek philosopher and mathematician, who lived from approximately 560 to 480 BC. Pythagoras and his followers believed that all relations could be reduced to numerical relations. This conclusion stemmed from observations in music, mathematics, and astronomy. Pythagoras studied the sound produced by vibrating strings. He subjected two strings to equal tension. He then divided one string exactly in half. When he plucked each string, he discovered that the shorter string produced a pitch which was one octave higher than the longer string. A one-octave separation occurs when the higher frequency is twice the lower frequency. German scientist Hermann Helmholtz (1821-1894) made further contributions to music theory. Helmholtz wrote “On the Sensations of Tone” to establish the scientific basis of musical theory. Natural Frequencies of Strings A note played on a string has a fundamental frequency, which is its lowest natural frequency. The note also has overtones at consecutive integer multiples of its fundamental frequency. Plucking a string thus excites a number of tones. Ratios The theories of Pythagoras and Helmholz depend on the frequency ratios shown in Table 1. Table 1. Standard Frequency Ratios Ratio Name 1:1 Unison 1:2 Octave 1:3 Twelfth 2:3 Fifth 3:4 Fourth 4:5 Major Third 3:5 Major Sixth 5:6 Minor Third 5:8 Minor Sixth 1 These ratios apply both to a fundamental frequency and its overtones, as well as to relationship between separate keys. -
The Emergence of Low Frequency Active Acoustics As a Critical
Low-Frequency Acoustics as an Antisubmarine Warfare Technology GORDON D. TYLER, JR. THE EMERGENCE OF LOW–FREQUENCY ACTIVE ACOUSTICS AS A CRITICAL ANTISUBMARINE WARFARE TECHNOLOGY For the three decades following World War II, the United States realized unparalleled success in strategic and tactical antisubmarine warfare operations by exploiting the high acoustic source levels of Soviet submarines to achieve long detection ranges. The emergence of the quiet Soviet submarine in the 1980s mandated that new and revolutionary approaches to submarine detection be developed if the United States was to continue to achieve its traditional antisubmarine warfare effectiveness. Since it is immune to sound-quieting efforts, low-frequency active acoustics has been proposed as a replacement for traditional passive acoustic sensor systems. The underlying science and physics behind this technology are currently being investigated as part of an urgent U.S. Navy initiative, but the United States and its NATO allies have already begun development programs for fielding sonars using low-frequency active acoustics. Although these first systems have yet to become operational in deep water, research is also under way to apply this technology to Third World shallow-water areas and to anticipate potential countermeasures that an adversary may develop. HISTORICAL PERSPECTIVE The nature of naval warfare changed dramatically capability of their submarine forces, and both countries following the conclusion of World War II when, in Jan- have come to regard these submarines as principal com- uary 1955, the USS Nautilus sent the message, “Under ponents of their tactical naval forces, as well as their way on nuclear power,” while running submerged from strategic arsenals. -
Fundamentals of Duct Acoustics
Fundamentals of Duct Acoustics Sjoerd W. Rienstra Technische Universiteit Eindhoven 16 November 2015 Contents 1 Introduction 3 2 General Formulation 4 3 The Equations 8 3.1 AHierarchyofEquations ........................... 8 3.2 BoundaryConditions. Impedance.. 13 3.3 Non-dimensionalisation . 15 4 Uniform Medium, No Mean Flow 16 4.1 Hard-walled Cylindrical Ducts . 16 4.2 RectangularDucts ............................... 21 4.3 SoftWallModes ................................ 21 4.4 AttenuationofSound.............................. 24 5 Uniform Medium with Mean Flow 26 5.1 Hard-walled Cylindrical Ducts . 26 5.2 SoftWallandUniformMeanFlow . 29 6 Source Expansion 32 6.1 ModalAmplitudes ............................... 32 6.2 RotatingFan .................................. 32 6.3 Tyler and Sofrin Rule for Rotor-Stator Interaction . ..... 33 6.4 PointSourceinaLinedFlowDuct . 35 6.5 PointSourceinaDuctWall .......................... 38 7 Reflection and Transmission 40 7.1 A Discontinuity in Diameter . 40 7.2 OpenEndReflection .............................. 43 VKI - 1 - CONTENTS CONTENTS A Appendix 49 A.1 BesselFunctions ................................ 49 A.2 AnImportantComplexSquareRoot . 51 A.3 Myers’EnergyCorollary ............................ 52 VKI - 2 - 1. INTRODUCTION CONTENTS 1 Introduction In a duct of constant cross section, with a medium and boundary conditions independent of the axial position, the wave equation for time-harmonic perturbations may be solved by means of a series expansion in a particular family of self-similar solutions, called modes. They are related to the eigensolutions of a two-dimensional operator, that results from the wave equation, on a cross section of the duct. For the common situation of a uniform medium without flow, this operator is the well-known Laplace operator 2. For a non- uniform medium, and in particular with mean flow, the details become mo∇re complicated, but the concept of duct modes remains by and large the same1. -
The Human Ear Hearing, Sound Intensity and Loudness Levels
UIUC Physics 406 Acoustical Physics of Music The Human Ear Hearing, Sound Intensity and Loudness Levels We’ve been discussing the generation of sounds, so now we’ll discuss the perception of sounds. Human Senses: The astounding ~ 4 billion year evolution of living organisms on this planet, from the earliest single-cell life form(s) to the present day, with our current abilities to hear / see / smell / taste / feel / etc. – all are the result of the evolutionary forces of nature associated with “survival of the fittest” – i.e. it is evolutionarily{very} beneficial for us to be able to hear/perceive the natural sounds that do exist in the environment – it helps us to locate/find food/keep from becoming food, etc., just as vision/sight enables us to perceive objects in our 3-D environment, the ability to move /locomote through the environment enhances our ability to find food/keep from becoming food; Our sense of balance, via a stereo-pair (!) of semi-circular canals (= inertial guidance system!) helps us respond to 3-D inertial forces (e.g. gravity) and maintain our balance/avoid injury, etc. Our sense of taste & smell warn us of things that are bad to eat and/or breathe… Human Perception of Sound: * The human ear responds to disturbances/temporal variations in pressure. Amazingly sensitive! It has more than 6 orders of magnitude in dynamic range of pressure sensitivity (12 orders of magnitude in sound intensity, I p2) and 3 orders of magnitude in frequency (20 Hz – 20 KHz)! * Existence of 2 ears (stereo!) greatly enhances 3-D localization of sounds, and also the determination of pitch (i.e. -
Standing Waves Physics Lab I
Standing Waves Physics Lab I Objective In this series of experiments, the resonance conditions for standing waves on a string will be tested experimentally. Equipment List PASCO SF-9324 Variable Frequency Mechanical Wave Driver, PASCO PI-9587B Digital Frequency Generator, Table Rod, Elastic String, Table Clamp with Pulley, Set of 50 g and 100 g Masses with Mass Holder, Meter Stick. Theoretical Background Consider an elastic string. One end of the string is tied to a rod. The other end is under tension by a hanging mass and pulley arrangement. The string is held taut by the applied force of the hanging mass. Suppose the string is plucked at or near the taut end. The string begins to vibrate. As the string vibrates, a wave travels along the string toward the ¯xed end. Upon arriving at the ¯xed end, the wave is reflected back toward the taut end of the string with the same amount of energy given by the pluck, ideally. Suppose you were to repeatedly pluck the string. The time between each pluck is 1 second and you stop plucking after 10 seconds. The frequency of your pluck is then de¯ned as 1 pluck per every second. Frequency is a measure of the number of repeating cycles or oscillations completed within a de¯nite time frame. Frequency has units of Hertz abbreviated Hz. As you continue to pluck the string you notice that the set of waves travelling back and forth between the taut and ¯xed ends of the string constructively and destructively interact with each other as they propagate along the string. -
Ch 12: Sound Medium Vs Velocity
Ch 12: Sound Medium vs velocity • Sound is a compression wave (longitudinal) which needs a medium to compress. A wave has regions of high and low pressure. • Speed- different for various materials. Depends on the elastic modulus, B and the density, ρ of the material. v B/ • Speed varies with temperature by: v (331 0.60T)m/s • Here we assume t = 20°C so v=343m/s Sound perceptions • A listener is sensitive to 2 different aspects of sound: Loudness and Pitch. Each is subjective yet measureable. • Loudness is related to Energy of the wave • Pitch (highness or lowness of sound) is determined by the frequency of the wave. • The Audible Range of human hearing is from 20Hz to 20,000Hz with higher frequencies disappearing as we age. Beyond hearing • Sound frequencies above the audible range are called ultrasonic (above 20,000 Hz). Dogs can detect sounds as high as 50,000 Hz and bats as high as 100,000 Hz. Many medicinal applications use ultrasonic sounds. • Sound frequencies below 20 Hz are called infrasonic. Sources include earthquakes, thunder, volcanoes, & waves made by heavy machinery. Graphical analysis of sound • We can look at a compression (pressure) wave from a perspective of displacement or of pressure variations. The waves produced by each are ¼ λ out of phase with each other. Sound Intensity • Loudness is a sensation measuring the intensity of a wave. • Intensity = energy transported per unit time across a unit area. I≈A2 • Intensity (I) has units power/area = watt/m2 • Human ear can detect I from 10-12 w/m2 to 1w/m2 which is a wide range! • To make a sound twice as loud requires 10x the intensity. -
Voltage and Frequency Dependency
System Operability Framework Voltage and Frequency Dependency The demand and generation we see on the electricity network has been changing in recent years and is set to continue to change into the future. One of the affects of this change is how frequency and voltage disturbances interact with each other. They will interact more in the future, driving a dynamic voltage requirement. Executive Summary changes in the future, so will the combined frequency and voltage effect change. Frequency and voltage are usually considered and assessed independently in the design and operation of Figure 1 summarises the decline in synchronous electrical networks. However, they are intrinsically linked. generation likely to be seen in the next 10 years, according This investigation seeks to understand this relationship, to current trends. Our Future Energy Scenarios (FES)[1] how it is changing over time and how it may behave in details this further. different regions of Great Britain (GB). This study has found that to support frequency and All faults on our system, such as a line or generator voltage recovery, additional dynamic voltage support will tripping, will have a combined frequency and voltage be required to replace that which is currently provided by effect. In the future, with the reduction in synchronous synchronous generation. Distributed energy recourses generation, combined events will be more significant and (DER) could also provide this in the future, in addition to will need to be considered. other technologies. Each area studied in this assessment has a unique set of National Grid has recently published a road map for results. -
A Biological Rationale for Musical Consonance Daniel L
PERSPECTIVE PERSPECTIVE A biological rationale for musical consonance Daniel L. Bowlinga,1 and Dale Purvesb,1 aDepartment of Cognitive Biology, University of Vienna, 1090 Vienna, Austria; and bDuke Institute for Brain Sciences, Duke University, Durham, NC 27708 Edited by Solomon H. Snyder, Johns Hopkins University School of Medicine, Baltimore, MD, and approved June 25, 2015 (received for review March 25, 2015) The basis of musical consonance has been debated for centuries without resolution. Three interpretations have been considered: (i) that consonance derives from the mathematical simplicity of small integer ratios; (ii) that consonance derives from the physical absence of interference between harmonic spectra; and (iii) that consonance derives from the advantages of recognizing biological vocalization and human vocalization in particular. Whereas the mathematical and physical explanations are at odds with the evidence that has now accumu- lated, biology provides a plausible explanation for this central issue in music and audition. consonance | biology | music | audition | vocalization Why we humans hear some tone combina- perfect fifth (3:2), and the perfect fourth revolution in the 17th century, which in- tions as relatively attractive (consonance) (4:3), ratios that all had spiritual and cos- troduced a physical understanding of musi- and others as less attractive (dissonance) has mological significance in Pythagorean phi- cal tones. The science of sound attracted been debated for over 2,000 years (1–4). losophy (9, 10). many scholars of that era, including Vincenzo These perceptual differences form the basis The mathematical range of Pythagorean and Galileo Galilei, Renee Descartes, and of melody when tones are played sequen- consonance was extended in the Renaissance later Daniel Bernoulli and Leonard Euler. -
Demonstration of Acoustic Beats in the Study of Physics
Journal of Multidisciplinary Engineering Science and Technology (JMEST) ISSN: 2458-9403 Vol. 4 Issue 6, June - 2017 Demonstration Of Acoustic Beats In The Study Of Physics Aleksei Gavrilov Department of Cybernetics Division of Physics Tallinn University of Technology Tallinn, Ehitajate tee 5, Estonia e-mail: [email protected] Abstract ― The article describes a device for equals to the difference of frequencies of the added demonstration of acoustic beats effect at the oscillations. To eliminate these inconveniences, two lecture on physics separate generators of low frequency oscillations, an audio amplifier and a loudspeaker are often used. In Keywords—beating; acoustics; device; this article, we describe a small-sized and convenient demonstration; physics device, which combines all these functions. II. Construction of the device I. Introduction Schematically the device is quite simple (see Addition of two harmonic oscillations with close Fig.1). It consists of a stabilized power supply, two frequencies creates so-called beats. Oscillations must identical audio frequency generators and an amplifier occur in the same direction. Beats in this case are with a loudspeaker at the output. From the generator periodic changes in the amplitude of the oscillations outputs the sound frequency voltage is connected [1]. With acoustic waves, these are periodic simultaneously to the input of the amplifier. The oscillations of the sound intensity. Usually this effect is frequency of one of the generators can be slightly demonstrated by means of two tuning forks [2]. changed by a regulator in relation to the frequency of However, the volume level at such a demonstration is the other generator.