Smartphone Apps for Sound Measurement
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Db Math Marco Zennaro Ermanno Pietrosemoli Goals
dB Math Marco Zennaro Ermanno Pietrosemoli Goals ‣ Electromagnetic waves carry power measured in milliwatts. ‣ Decibels (dB) use a relative logarithmic relationship to reduce multiplication to simple addition. ‣ You can simplify common radio calculations by using dBm instead of mW, and dB to represent variations of power. ‣ It is simpler to solve radio calculations in your head by using dB. 2 Power ‣ Any electromagnetic wave carries energy - we can feel that when we enjoy (or suffer from) the warmth of the sun. The amount of energy received in a certain amount of time is called power. ‣ The electric field is measured in V/m (volts per meter), the power contained within it is proportional to the square of the electric field: 2 P ~ E ‣ The unit of power is the watt (W). For wireless work, the milliwatt (mW) is usually a more convenient unit. 3 Gain and Loss ‣ If the amplitude of an electromagnetic wave increases, its power increases. This increase in power is called a gain. ‣ If the amplitude decreases, its power decreases. This decrease in power is called a loss. ‣ When designing communication links, you try to maximize the gains while minimizing any losses. 4 Intro to dB ‣ Decibels are a relative measurement unit unlike the absolute measurement of milliwatts. ‣ The decibel (dB) is 10 times the decimal logarithm of the ratio between two values of a variable. The calculation of decibels uses a logarithm to allow very large or very small relations to be represented with a conveniently small number. ‣ On the logarithmic scale, the reference cannot be zero because the log of zero does not exist! 5 Why do we use dB? ‣ Power does not fade in a linear manner, but inversely as the square of the distance. -
SR1 — Dual-Domain Audio Analyzer
Audio Analyzer SR1 — Dual-domain audio analyzer SR1 Audio Analyzer Introducing SR1 Dual-Domain Audio Analyzer — high · Analog/digital domain measurements performance audio analysis at a very affordable price. SR1 is a stand-alone instrument that delivers cutting edge · −112 dB THD + N (at 1 kHz, 20 kHz BW) performance in a wide variety of audio measurements. With a versatile high-performance generator, an array of analyzers · 200 kHz frequency range that operate symmetrically in both the analog and digital domains, and digital audio carrier measurements at sampling · −118 dBu analyzer noise (20 kHz BW) rates up to 192 kHz, SR1 is the right choice for the most demanding analog and digital audio applications. · ±0.008 dB flatness (20 Hz to 20 kHz) User Interface · −140 dB input crosstalk SR1 uses an integrated computer running the Windows XP embedded operating system, so operation will be immediately · −125 dB output crosstalk familiar and intuitive. Depending on the application, SR1 can be operated with an external mouse and keyboard, or by using · <600 ps jitter (50 Hz to 100 kHz) the front-panel knob, keypad and touchpad. Seven on-screen tabbed pages are available for arranging · Dual-channel FFT measurements panels, graphs, and displays. Screen setups, data, and instrument configurations can be quickly saved and recalled to either the internal hard disk or to a flash drive connected to one of the two front-panel USB connectors. An optional 1024 × 768 XVGA monitor (opt. 02) provides better resolution and allows more information to be displayed. (U.S. list) · SR1 ... $12,400 While SR1’s configuration panels offer total flexibility in setting up every detail of the analyzer, at times it is useful to get a measurement going quickly, without worrying Stanford Research Systems phone: (408)744-9040 www.thinkSRS.com SR1 Audio Analyzer about infrequently used parameters. -
Decibels, Phons, and Sones
Decibels, Phons, and Sones The rate at which sound energy reaches a Table 1: deciBel Ratings of Several Sounds given cross-sectional area is known as the Sound Source Intensity deciBel sound intensity. There is an abnormally Weakest Sound Heard 1 x 10-12 W/m2 0.0 large range of intensities over which Rustling Leaves 1 x 10-11 W/m2 10.0 humans can hear. Given the large range, it Quiet Library 1 x 10-9 W/m2 30.0 is common to express the sound intensity Average Home 1 x 10-7 W/m2 50.0 using a logarithmic scale known as the Normal Conversation 1 x 10-6 W/m2 60.0 decibel scale. By measuring the intensity -4 2 level of a given sound with a meter, the Phone Dial Tone 1 x 10 W/m 80.0 -3 2 deciBel rating can be determined. Truck Traffic 1 x 10 W/m 90.0 Intensity values and decibel ratings for Chainsaw, 1 m away 1 x 10-1 W/m2 110.0 several sound sources listed in Table 1. The decibel scale and the intensity values it is based on is an objective measure of a sound. While intensities and deciBels (dB) are measurable, the loudness of a sound is subjective. Sound loudness varies from person to person. Furthermore, sounds with equal intensities but different frequencies are perceived by the same person to have unequal loudness. For instance, a 60 dB sound with a frequency of 1000 Hz sounds louder than a 60 dB sound with a frequency of 500 Hz. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
The Decibel Scale R.C
The Decibel Scale R.C. Maher Fall 2014 It is often convenient to compare two quantities in an audio system using a proportionality ratio. For example, if a linear amplifier produces 2 volts (V) output amplitude when its input amplitude is 100 millivolts (mV), the voltage gain is expressed as the ratio of output/input: 2V/100mV = 20. As long as the two quantities being compared have the same units--volts in this case--the proportionality ratio is dimensionless. If the proportionality ratios of interest end up being very large or very small, such as 2x105 and 2.5x10-4, manipulating and interpreting the results can become rather unwieldy. In this situation it can be helpful to compress the numerical range by taking the logarithm of the ratio. It is customary to use a base-10 logarithm for this purpose. For example, 5 log10(2x10 ) = 5 + log10(2) = 5.301 and -4 log10(2.5x10 ) = -4 + log10(2.5) = -3.602 If the quantities in the proportionality ratio both have the units of power (e.g., 2 watts), or intensity (watts/m ), then the base-10 logarithm log10(power1/power0) is expressed with the unit bel (symbol: B), in honor of Alexander Graham Bell (1847 -1922). The decibel is a unit representing one tenth (deci-) of a bel. Therefore, a figure reported in decibels is ten times the value reported in bels. The expression for a proportionality ratio expressed in decibel units (symbol dB) is: 10 푝표푤푒푟1 10 Common Usage 푑퐵 ≡ ∙ 푙표푔 �푝표푤푒푟0� The power dissipated in a resistance R ohms can be expressed as V2/R, where V is the voltage across the resistor. -
Keysight U8903A Audio Analyzer
Keysight U8903A Audio Analyzer Data Sheet Make an audible difference Whether listening to mono, stereo or surround, the human ear knows what sounds good. Measuring “how good,” however, can be a challenge. Now, with a two-in-one digital audio interface card that provides AES3/ SPDIF and Digital Serial Interface digital audio formats, Keysight Technologies, Inc. U8903A offers you the flexibility to measure and quantify both analog and digital U8903A audio analyzer key features audio performance in applications such as analog and digital IC compo- – Customize your unit with flexible – Characterize signal-to-noise nents and module design, wireless digital audio interface options, ratios, SINAD, IMD, DFD, THD+N audio and consumer audio. offering AES3/SPDIF or DSI ratio, THD+N level, crosstalk and standard digital audio formats, or more. The U8903A contains the full both in a convenient two-in-one – Apply weighting functions, functions of analog domain and card. standard filters and custom digital domain audio measurement – Test a variety of current filters. in one box, allowing you to perform components and applications – Stimulate the device with quick and convenient complex with a logic level input range of high-quality signals and arbitrary cross-domain measurements. 1.2 V to 3.3 V (DSI). waveforms. – Analyze a wide range of – View numerical and graphical The U8903A audio analyzer com- applications with multiple DSI displays of measurement results. bines the functionality of a distortion formats: I2S, Left Justified, Right – Connect to a PC through GPIB, meter, SINAD meter, frequency Justified and DSP. LAN/LXI C and USB interfaces. counter, AC voltmeter, DC voltmeter – Select generator, analyzer, graph – Eliminate the need to rewrite and FFT analyzer with a low-distor- and sweep modes with one- programs into SCPI command tion audio source. -
The International System of Units (SI)
NAT'L INST. OF STAND & TECH NIST National Institute of Standards and Technology Technology Administration, U.S. Department of Commerce NIST Special Publication 330 2001 Edition The International System of Units (SI) 4. Barry N. Taylor, Editor r A o o L57 330 2oOI rhe National Institute of Standards and Technology was established in 1988 by Congress to "assist industry in the development of technology . needed to improve product quality, to modernize manufacturing processes, to ensure product reliability . and to facilitate rapid commercialization ... of products based on new scientific discoveries." NIST, originally founded as the National Bureau of Standards in 1901, works to strengthen U.S. industry's competitiveness; advance science and engineering; and improve public health, safety, and the environment. One of the agency's basic functions is to develop, maintain, and retain custody of the national standards of measurement, and provide the means and methods for comparing standards used in science, engineering, manufacturing, commerce, industry, and education with the standards adopted or recognized by the Federal Government. As an agency of the U.S. Commerce Department's Technology Administration, NIST conducts basic and applied research in the physical sciences and engineering, and develops measurement techniques, test methods, standards, and related services. The Institute does generic and precompetitive work on new and advanced technologies. NIST's research facilities are located at Gaithersburg, MD 20899, and at Boulder, CO 80303. -
Design of Ultralow Noise and THD Low Pass Filter for Audio Analyzer By
Design of ultralow noise and THD low pass filter for audio analyzer by Justin Lee Kung Wen 16073 Dissertation submitted in partial fulfillment of the requirements for the Bachelor of Engineering (Hons) (Electrical and Electronic) January 2016 Universiti Teknologi PETRONAS Bandar Seri Iskandar 31750 Tronoh Perak Darul Ridzuan CERTIFICATION OF APPROVAL DESIGN OF ULTRALOW NOISE AND THD LOW PASS FILTER FOR AUDIO ANALYZER by Justin Lee Kung Wen 16073 A project dissertation submitted to the Electrical & Electronic Engineering Programme Universiti Teknologi PETRONAS In partial fulfillment of the requirement for the BACHELOR OF ENGINEERING (Hons) (ELECTRICAL & ELECTRONIC) Approved by, _________________ Dr Wong Peng Wen UNIVERSITI TEKNOLOGI PETRONAS TRONOH, PERAK January 2016 i CERTIFICATION OF ORIGINALITY This is to certify that I am responsible for the work submitted in this project, that the original work is my own except as specified in the references and acknowledgements, and the original work contained herein have not been undertaken or done by unspecified sources or persons. __________________ Justin Lee Kung Wen ii Abstract An ultralow noise and THD low pass filter is required to design for Keysight Technologies audio analyzer model U8903B. The company provides the required specifications for the filter. There are two different filters required based on the installed option. Passive low pass Chebyshev ladder network is constructed due to its characteristics. It is constructed by cascading capacitor and inductor. Air core inductor is used to minimize THD. iii Acknowledgement Firstly, I would like to thank my supervisor, Dr Wong Peng Wen and co-supervisor, Dr Lee Yen Cheong for helping, guiding and sharing their knowledge and experiences with me. -
Audio Analyzer Type 2012 (Bp1503)
Product Data Audio Analyzer — Type 2012 Version 4.0 including Special Calculation Software Type 7661 USES: ❍ Automated measurements of individual Harmonic, ❍ Development and quality control testing of Intermodulation and Difference Frequency distortion electroacoustic and vibration transducers: components and total RMS loudspeakers, telephones, headphones, ❍ 1600 line FFT spectrum microphones, hearing-aids, hydrophones, ❍ User-definable Auto Sequences accelerometers ❍ Extensive post-processing facilities: +, –, ×, /, 1/x, ❍ Linear and non-linear system analysis x2, √x, |x|, poles, zeros, windowing, editing, ❍ Propagation path identification smoothing ❍ Acoustical measurements in rooms and vehicles ❍ On-screen help in English, French or German ❍ Preamplifier (microphone) and balanced or single- ended direct inputs FEATURES: ❍ Two separate built-in sine generators ❍ Transducer workstation combining the most ❍ 1 ″ Built-in 3 /2 , 1.44Mbyte, PC/MS-DOS compatible advanced sine sweep and FFT techniques floppy disk drive for storage of data, setups, and ❍ 12″ high-resolution colour monitor displays up to 36 Auto Sequences and simple loading of complete curves simultaneously applications ❍ Frequency range: 1Hz to 40kHz ❍ Screen copy facility for plotters and printers, both ❍ Distortion and noise: <–80 dB re full scale input colour and monochrome, direct or via disk ❍ ❍ Fast time selective measurement of complex Upgrade kit from Version 3.0 to Version 4.0 frequency and impulse response available ❍ Steady-state response measurements as a function of swept frequency or level The Type 2012 Audio Analyzer is a powerful instrument for transducer measurements and system analysis. It 1 ″ features a colour screen, built-in 3 /2 floppy disk drive, IEEE-488 and RS- 232-C interfaces, three measurement modes and an Auto Sequence facility. -
Intensity of Sound
01/02 Intensity - 1 INTENSITY OF SOUND The objectives of this experiment are: • To understand the concept of sound intensity and how it is measured. • To learn how to operate a Sound Level Meter APPARATUS: Radio Shack Sound Level Meter, meterstick, function generator, headphones. INTRODUCTION Sound energy is conveyed to our ears (or instruments) by means of a wave motion through some medium (gas, liquid, or solid). At any given point in the medium the energy content of the wave disturbance varies as the square of the amplitude of the wave motion. That is, if the amplitude of the oscillation is doubled the energy of the wave motion is quadrupled. The common method in gauging this energy transport is to measure the rate at which energy is passing a certain point. This concept involves sound intensity. Consider an area that is normal to the direction of the sound waves. If the area is a unit, namely one square meter, the quantity of sound energy expressed in Joules that passes through the unit area in one second defines the sound intensity. Recall the time rate of energy transfer is called "power". Thus, sound intensity is the power per square meter. The common unit of power is the watt ( 1w = 1 Joules/s). Normally, sound intensity is measured as a relative ratio to some standard intensity, Io. The response of the human ear to sound waves follows closely to a logarithmic function of the form R = k log I , where R is the response to a sound that has an intensity of I, and k is a constant of proportionality . -
CTS-Prep Workshop II Ohm's Law, Impedance and Decibels Italy, April
CTS-Prep Workshop II Ohm’s Law, Impedance and Decibels Italy, April 2020 Jose Mozota CTS, CTS-I 1 © 2017 AVIXA Goals • Review Ohm’s Law - Calculate V, I, R and P - Understand Bus Power in AV systems • Calculate Speaker Systems Impedance (Z) • Understand Impedance matching with amplifiers • Review the concept of Decibel • Understand Decibel calculations • Review Speaker configurations 2 © 2017 AVIXA Circuits Circuits have: - Source - Load - Conductor 3 © 2017 AVIXA Ohm's Law V = I * R V (voltage) - volts I (current) - amperes R (resistance) - ohms 4 © 2017 AVIXA Introduction to Ohm's Law • Expresses the relationships between Voltage (V), Current (I) and Resistance (R) in an electrical circuit V = I * R • Helps calculate the Power (P) in a circuit P = I * V P = V2 /R P = I2 * R • If you know any 2 values, you can find the third one. 5 © 2017 AVIXA Current and Voltage • Expressed in amps by the symbol “I” • The force that causes the electrons to - The flow of electrons in a circuit flow. - In a DC circuit the flow is in one - Expressed in Volts or V (or E, Electromotive Force) direction back to source - Mic level .002V - In an AC circuit the flow reverses - Line level 0.316V (consumer) or periodically. 1.23V(pro) • I = V / R - Loudspeaker level up to 100V • V = I * R 6 © 2017 AVIXA Resistance • The opposition to the flow of electrons - Expressed in ohms (O) and by the symbol R - Applies to DC (e.g. battery) - For AC is called Impedance (Z), to be discussed later • R = V / I 7 © 2017 AVIXA Activity: Ohm's Law Calculations Calculate the current in a circuit where the voltage is 2V and resistance is 8 ohms. -
A Tutorial on the Decibel This Tutorial Combines Information from Several Authors, Including Bob Devarney, W1ICW; Walter Bahnzaf, WB1ANE; and Ward Silver, NØAX
A Tutorial on the Decibel This tutorial combines information from several authors, including Bob DeVarney, W1ICW; Walter Bahnzaf, WB1ANE; and Ward Silver, NØAX Decibels are part of many questions in the question pools for all three Amateur Radio license classes and are widely used throughout radio and electronics. This tutorial provides background information on the decibel, how to perform calculations involving decibels, and examples of how the decibel is used in Amateur Radio. The Quick Explanation • The decibel (dB) is a ratio of two power values – see the table showing how decibels are calculated. It is computed using logarithms so that very large and small ratios result in numbers that are easy to work with. • A positive decibel value indicates a ratio greater than one and a negative decibel value indicates a ratio of less than one. Zero decibels indicates a ratio of exactly one. See the table for a list of easily remembered decibel values for common ratios. • A letter following dB, such as dBm, indicates a specific reference value. See the table of commonly used reference values. • If given in dB, the gains (or losses) of a series of stages in a radio or communications system can be added together: SystemGain(dB) = Gain12 + Gain ++ Gainn • Losses are included as negative values of gain. i.e. A loss of 3 dB is written as a gain of -3 dB. Decibels – the History The need for a consistent way to compare signal strengths and how they change under various conditions is as old as telecommunications itself. The original unit of measurement was the “Mile of Standard Cable.” It was devised by the telephone companies and represented the signal loss that would occur in a mile of standard telephone cable (roughly #19 AWG copper wire) at a frequency of around 800 Hz.