 Decibel

This article is about the ratio of measures. For sound or acoustic level, see Sound pressure. For other uses, see Decibel (disambiguation).
The decibel (dB) is a logarithmic unit that indicates the ratio of a physical quantity (usually power or intensity) relative to a specified or implied reference level. A ratio in decibels is ten times the logarithm to base 10 of the ratio of two power quantities.^{[1]} A decibel is one tenth of a bel, a seldomused unit.
The decibel is used for a wide variety of measurements in science and engineering, most prominently in acoustics, electronics, and control theory. In electronics, the gains of amplifiers, attenuation of signals, and signaltonoise ratios are often expressed in decibels. The decibel confers a number of advantages, such as the ability to conveniently represent very large or small numbers, and the ability to carry out multiplication of ratios by simple addition and subtraction.
The decibel symbol is often qualified with a suffix, that indicates which reference quantity or frequency weighting function has been used. For example, dBm indicates a reference level of one milliwatt, while dBu is referenced to 0.775 volts RMS.^{[2]}
The definitions of the decibel and bel use base 10 logarithms. The neper, an alternative logarithmic ratio unit sometimes used, uses the natural logarithm (base e).^{[3]}
A change in power ratio by a factor of 10 is a 10 dB change. A change in power ratio by a factor of two is approximately a 3 dB change.
Contents
History
The decibel originates from methods used to quantify reductions in audio levels in telephone circuits. These losses were originally measured in units of Miles of Standard Cable (MSC), where 1 MSC corresponded to the loss of power over a 1 mile (approximately 1.6 km) length of standard telephone cable at a frequency of 5000 radians per second (795.8 Hz), and roughly matched the smallest attenuation detectable to the average listener. Standard telephone cable was defined as "a cable having uniformly distributed resistance of 88 ohms per loop mile and uniformly distributed shunt capacitance of .054 microfarad per mile" (approximately 19 gauge).^{[4]}
The transmission unit (TU) was devised by engineers of the Bell Telephone Laboratories in the 1920s to replace the MSC. 1 TU was defined as ten times the base10 logarithm of the ratio of measured power to a reference power level.^{[5]} The definitions were conveniently chosen such that 1 TU approximately equaled 1 MSC (specifically, 1.056 TU = 1 MSC).^{[6]} In 1928, the Bell system renamed the TU to the decibel.^{[7]} Along with the decibel, the Bell System defined the bel, the base10 logarithm of the power ratio, in honor of their founder and telecommunications pioneer Alexander Graham Bell.^{[8]} The bel is seldom used, as the decibel was the proposed working unit.^{[9]}
The naming and early definition of the decibel is described in the NBS Standard's Yearbook of 1931:^{[10]}
Since the earliest days of the telephone, the need for a unit in which to measure the transmission efficiency of telephone facilities has been recognized. The introduction of cable in 1896 afforded a stable basis for a convenient unit and the "mile of standard" cable came into general use shortly thereafter. This unit was employed up to 1923 when a new unit was adopted as being more suitable for modern telephone work. The new transmission unit is widely used among the foreign telephone organizations and recently it was termed the "decibel" at the suggestion of the International Advisory Committee on Long Distance Telephony.
The decibel may be defined by the statement that two amounts of power differ by 1 decibel when they are in the ratio of 10^{0.1} and any two amounts of power differ by N decibels when they are in the ratio of 10^{N(0.1)}. The number of transmission units expressing the ratio of any two powers is therefore ten times the common logarithm of that ratio. This method of designating the gain or loss of power in telephone circuits permits direct addition or subtraction of the units expressing the efficiency of different parts of the circuit...In April 2003, the International Committee for Weights and Measures (CIPM) considered a recommendation for the decibel's inclusion in the International System of Units (SI), but decided not to adopt the decibel as an SI unit.^{[11]} However, the decibel is recognized by other international bodies such as the International Electrotechnical Commission (IEC).^{[12]} The IEC permits the use of the decibel with field quantities as well as power and this recommendation is followed by many national standards bodies, such as NIST, which justifies the use of the decibel for voltage ratios.^{[13]}
Definition
A decibel (dB) is one tenth of a bel (B), i.e. 1B = 10dB. The bel is the logarithm of the ratio between two power quantities of 10:1, and for two field quantities in the ratio .^{[14]} A field quantity is a quantity such as voltage, current, sound pressure, electric field strength, velocity and charge density, the square of which in linear systems is proportional to power. A power quantity is a power or a quantity directly proportional to power, e.g. energy density, acoustic intensity and luminous intensity.
The calculation of the ratio in decibels varies depending on whether the quantity being measured is a power quantity or a field quantity.
Two signals that differ by one decibel have a power ratio of 1.258925411794167 (or ) and an amplitude ratio of 1.122018454301963 (or ).^{[15]}
Power quantities
When referring to measurements of power or intensity, a ratio can be expressed in decibels by evaluating ten times the base10 logarithm of the ratio of the measured quantity to the reference level. Thus, the ratio of a power value P_{1} to another power value P_{0} is represented by L_{dB}, that ratio expressed in decibels, which is calculated using the formula:
The base10 logarithm of the ratio of the two power levels is the number of bels. The number of decibels is ten times the number of bels (equivalently, a decibel is onetenth of a bel). P_{1} and P_{0} must measure the same type of quantity, and have the same units before calculating the ratio. If P_{1} = P_{0} in the above equation, then L_{dB} = 0. If P_{1} is greater than P_{0} then L_{dB} is positive; if P_{1} is less than P_{0} then L_{dB} is negative.
Rearranging the above equation gives the following formula for P_{1} in terms of P_{0} and L_{dB}:
 .
Since a bel is equal to ten decibels, the corresponding formulae for measurement in bels (L_{B}) are
 .
Field quantities
When referring to measurements of field amplitude it is usual to consider the ratio of the squares of A_{1} (measured amplitude) and A_{0} (reference amplitude). This is because in most applications power is proportional to the square of amplitude, and it is desirable for the two decibel formulations to give the same result in such typical cases. Thus the following definition is used:
This formula is sometimes called the 20 log rule, and similarly the formula for ratios of powers is the 10 log rule, and similarly for other factors.^{[citation needed]} The equivalence of and is one of the standard properties of logarithms.
The formula may be rearranged to give
Similarly, in electrical circuits, dissipated power is typically proportional to the square of voltage or current when the impedance is held constant. Taking voltage as an example, this leads to the equation:
where V_{1} is the voltage being measured, V_{0} is a specified reference voltage, and G_{dB} is the power gain expressed in decibels. A similar formula holds for current.
Examples
dB power ratio amplitude ratio 100 10 000 000 000 100 000 90 1 000 000 000 31 620 80 100 000 000 10 000 70 10 000 000 3 162 60 1 000 000 1 000 50 100 000 316 .2 40 10 000 100 30 1 000 31 .62 20 100 10 10 10 3 .162 0 1 1 10 0 .1 0 .316 2 20 0 .01 0 .1 30 0 .001 0 .031 62 40 0 .000 1 0 .01 50 0 .000 01 0 .003 162 60 0 .000 001 0 .001 70 0 .000 000 1 0 .000 316 2 80 0 .000 000 01 0 .000 1 90 0 .000 000 001 0 .000 031 62 100 0 .000 000 000 1 0 .000 01 An example scale showing power ratios x and amplitude ratios √x and dB equivalents 10 log_{10} x. It is easier to grasp and compare 2 or 3digit numbers than to compare up to 10 digits. All of these examples yield dimensionless answers in dB because they are relative ratios expressed in decibels.
 To calculate the ratio of 1 kW (one kilowatt, or 1000 watts) to 1 W in decibels, use the formula
 To calculate the ratio of to in decibels, use the formula
Notice that , illustrating the consequence from the definitions above that G_{dB} has the same value, , regardless of whether it is obtained with the 10log or 20log rules; provided that in the specific system being considered power ratios are equal to amplitude ratios squared.
 To calculate the ratio of 1 mW (one milliwatt) to 10 W in decibels, use the formula
 To find the power ratio corresponding to a 3 dB change in level, use the formula
A change in power ratio by a factor of 10 is a 10 dB change. A change in power ratio by a factor of two is approximately a 3 dB change. More precisely, the factor is 10^{3/10}, or 1.9953, about 0.24% different from exactly 2. Similarly, an increase of 3 dB implies an increase in voltage by a factor of approximately , or about 1.41, an increase of 6 dB corresponds to approximately four times the power and twice the voltage, and so on. In exact terms the power ratio is 10^{6/10}, or about 3.9811, a relative error of about 0.5%.
Merits
The use of the decibel has a number of merits:
 The decibel's logarithmic nature means that a very large range of ratios can be represented by a convenient number, in a similar manner to scientific notation. This allows one to clearly visualize huge changes of some quantity. (See Bode Plot and half logarithm graph.)
 The mathematical properties of logarithms mean that the overall decibel gain of a multicomponent system (such as consecutive amplifiers) can be calculated simply by summing the decibel gains of the individual components, rather than needing to multiply amplification factors. Essentially this is because log(A × B × C × ...) = log(A) + log(B) + log(C) + ...
 The human perception of the intensity of, for example, sound or light, is more nearly proportional to the logarithm of intensity than to the intensity itself, per the Weber–Fechner law, so the dB scale can be useful to describe perceptual levels or level differences.
Uses
Acoustics
Main article: Sound pressureThe decibel is commonly used in acoustics to quantify sound levels relative to a 0 dB reference which has been defined as a sound pressure level of .0002 microbar.^{[16]} The reference level is set at the typical threshold of perception of an average human and there are common comparisons used to illustrate different levels of sound pressure. As with other decibel figures, normally the ratio expressed is a power ratio (rather than a pressure ratio).
The human ear has a large dynamic range in audio perception. The ratio of the sound intensity that causes permanent damage during short exposure to the quietest sound that the ear can hear is greater than or equal to 1 trillion.^{[17]} Such large measurement ranges are conveniently expressed in logarithmic units: the base10 logarithm of one trillion (10^{12}) is 12, which is expressed as an audio level of 120 dB. Since the human ear is not equally sensitive to all sound frequencies, noise levels at maximum human sensitivity—somewhere between 2 and 4 kHz—are factored more heavily into some measurements using frequency weighting. (See also Stevens' power law.)
Further information: Examples of sound pressure and sound pressure levelsElectronics
In electronics, the decibel is often used to express power or amplitude ratios (gains), in preference to arithmetic ratios or percentages. One advantage is that the total decibel gain of a series of components (such as amplifiers and attenuators) can be calculated simply by summing the decibel gains of the individual components. Similarly, in telecommunications, decibels denote signal gain or loss from a transmitter to a receiver through some medium (free space, waveguide, coax, fiber optics, etc.) using a link budget.
The decibel unit can also be combined with a suffix to create an absolute unit of electric power. For example, it can be combined with "m" for "milliwatt" to produce the "dBm". Zero dBm equals one milliwatt, and 1 dBm is one decibel greater (about 1.259 mW).
In professional audio, a popular unit is the dBu (see below for all the units). The "u" stands for "unloaded", and was probably chosen to be similar to lowercase "v", as dBv was the older name for the same thing. It was changed to avoid confusion with dBV. This unit (dBu) is an RMS measurement of voltage which uses as its reference 0.775 V_{RMS}. Chosen for historical reasons, it is the voltage level which delivers 1 mW of power in a 600 ohm resistor, which used to be the standard reference impedance in telephone audio circuits.
Optics
In an optical link, if a known amount of optical power, in dBm (referenced to 1 mW), is launched into a fiber, and the losses, in dB (decibels), of each electronic component (e.g., connectors, splices, and lengths of fiber) are known, the overall link loss may be quickly calculated by addition and subtraction of decibel quantities.^{[18]}
In spectrometry and optics, the blocking unit used to measure optical density is equivalent to −1 B.
Video and digital imaging
In connection with video and digital image sensors, decibels generally represent ratios of video voltages or digitized light levels, using 20 log of the ratio, even when the represented optical power is directly proportional to the voltage or level, not to its square, as in a CCD imager where response voltage is linear in intensity.^{[19]} Thus, a camera signaltonoise ratio or dynamic range of 40 dB represents a power ratio of 100:1 between signal power and noise power, not 10,000:1.^{[20]} Sometimes the 20 log ratio definition is applied to electron counts or photon counts directly, which are proportional to intensity without the need consider whether the voltage response is linear.^{[21]}
However, as mentioned above, the 10 log intensity convention prevails more generally in physical optics, including fiber optics, so the terminology can become murky between the conventions of digital photographic technology and physics. Most commonly, quantities called "dynamic range" or "signaltonoise" (of the camera) would be specified in 20 log dBs, but in related contexts (e.g. attenuation, gain, intensifier SNR, or rejection ratio) the term should be interpreted cautiously, as confusion of the two units can result in very large misunderstandings of the value.
Photographers also often use an alternative base2 log unit, the fstop, and in software contexts these image level ratios, particularly dynamic range, are often loosely referred to by the number of bits needed to represent the quantity, such that 60 dB (digital photographic) is roughly equal to 10 fstops or 10 bits, since 10^{3} is nearly equal to 2^{10}.
Suffixes and reference levels
Suffixes are commonly attached to the basic dB unit in order to indicate the reference level against which the decibel measurement is taken. For example, dBm indicates power measurement relative to 1 milliwatt.
In cases such as this, where the numerical value of the reference is explicitly and exactly stated, the decibel measurement is called an "absolute" measurement, in the sense that the exact value of the measured quantity can be recovered using the formula given earlier. If the numerical value of the reference is not explicitly stated, as in the dB gain of an amplifier, then the decibel measurement is purely relative.
The SI does not permit attaching qualifiers to units, whether as suffix or prefix, other than standard SI prefixes. Therefore, even though the decibel is accepted for use alongside SI units, the practice of attaching a suffix to the basic dB unit, forming compound units such as dBm, dBu, dBA, etc., is not.^{[22]} However, outside of documents adhering to SI units, the practice is very common as illustrated by the following examples.
Voltage
Since the decibel is defined with respect to power, not amplitude, conversions of voltage ratios to decibels must square the amplitude, as discussed above.
dBV
 dB(1 V_{RMS}) – voltage relative to 1 volt, regardless of impedance.^{[2]}
dBu or dBv
 dB(0.775 V_{RMS}) – voltage relative to 0.775 volts.^{[2]} Originally dBv, it was changed to dBu to avoid confusion with dBV.^{[23]} The "v" comes from "volt", while "u" comes from "unloaded". dBu can be used regardless of impedance, but is derived from a 600 Ω load dissipating 0 dBm (1 mW). Reference voltage
In professional audio, equipment may be calibrated to indicate a "0" on the VU meters some finite time after a signal has been applied at an amplitude of +4 dBu. Consumer equipment will more often use a much lower "nominal" signal level of 10 dBV.^{[24]} Therefore, many devices offer dual voltage operation (with different gain or "trim" settings) for interoperability reasons. A switch or adjustment that covers at least the range between +4 dBu and 10 dBV is common in professional equipment.
dBmV
 dB(1 mV_{RMS}) – voltage relative to 1 millivolt across 75 Ω.^{[25]} Widely used in cable television networks, where the nominal strength of a single TV signal at the receiver terminals is about 0 dBmV. Cable TV uses 75 Ω coaxial cable, so 0 dBmV corresponds to −78.75 dBW (−48.75 dBm) or ~13 nW.
dBμV or dBuV
 dB(1 μV_{RMS}) – voltage relative to 1 microvolt. Widely used in television and aerial amplifier specifications. 60 dBμV = 0 dBmV.
Acoustics
Probably the most common usage of "decibels" in reference to sound loudness is dB SPL, sound pressure level referenced to the nominal threshold of human hearing:^{[26]}
dB(SPL)
 dB (sound pressure level) – for sound in air and other gases, relative to 20 micropascals (μPa) = 2×10^{−5} Pa, the quietest sound a human can hear. This is roughly the sound of a mosquito flying 3 meters away. This is often abbreviated to just "dB", which gives some the erroneous notion that "dB" is an absolute unit by itself. For sound in water and other liquids, a reference pressure of 1 μPa is used.^{[27]}
One Pascal is equal to 94 dB(SPL). This level is used to specify microphone sensitivity. For example, a typical microphone may put out 20 mV at one pascal. For other sound pressure levels, the output voltage can be computed from this basis, except that noise and distortion will affect the extreme levels.
dB(PA)
 dB – relative to 1 Pa, often used in telecommunications.^{[citation needed]}
dB SIL
 dB sound intensity level – relative to 10^{−12} W/m^{2}, which is roughly the threshold of human hearing in air.
dB SWL
 dB sound power level – relative to 10^{−12} W.
dB(A), dB(B), and dB(C)
 These symbols are often used to denote the use of different weighting filters, used to approximate the human ear's response to sound, although the measurement is still in dB (SPL). These measurements usually refer to noise and noisome effects on humans and animals, and are in widespread use in the industry with regard to noise control issues, regulations and environmental standards. Other variations that may be seen are dB_{A} or dBA. According to ANSI standards, the preferred usage is to write L_{A} = x dB. Nevertheless, the units dBA and dB(A) are still commonly used as a shorthand for Aweighted measurements. Compare dBc, used in telecommunications.
dB HL or dB hearing level is used in audiograms as a measure of hearing loss. The reference level varies with frequency according to a minimum audibility curve as defined in ANSI and other standards, such that the resulting audiogram shows deviation from what is regarded as 'normal' hearing.^{[citation needed]}
dB Q is sometimes used to denote weighted noise level, commonly using the ITUR 468 noise weighting^{[citation needed]}
Audio electronics
 dB(mW) – power relative to 1 milliwatt. No reference impedance is assumed, although 600 ohms is common in audio equipment.
 dB(full scale) – the amplitude of a signal compared with the maximum which a device can handle before clipping occurs. Fullscale may be defined as the power level of a fullscale sinusoid or alternatively a fullscale square wave.
dBTP
 dB(true peak)  peak amplitude of a signal compared with the maximum which a device can handle before clipping occurs.^{[28]} In digital systems, 0 dBTP would equal the highest level (number) the processor is capable of representing. Measured values are always negative or zero, since they are less than or equal to fullscale.
Radar
 dB(Z) – energy of reflectivity (weather radar), related to the amount of transmitted power returned to the radar receiver; the reference level for Z is 1 mm^{6} m^{−3}. Values above 15–20 dBZ usually indicate falling precipitation.^{[29]}
dBsm
 dBsm – decibel measure of the radar cross section (RCS) of a target relative one square meter. The power reflected by the target is proportional to its RCS. "Stealth" aircraft and insects have negative RCS measured in dBsm, large flat plates or nonstealthy aircraft have positive values.^{[30]}
Radio power, energy, and field strength
 dBc – relative to carrier—in telecommunications, this indicates the relative levels of noise or sideband peak power, compared with the carrier power. Compare dBC, used in acoustics.
dBJ
 dB(J) – energy relative to 1 joule. 1 joule = 1 watt per hertz, so power spectral density can be expressed in dBJ.
 dB(mW) – power relative to 1 milliwatt. When used in the radio field, the dB is usually referenced to a 50 ohm load, with the resultant voltage being 0.224 volts. There are times when spec sheets may show the voltage & power level e.g. −120 dBm = 0.224 microvolts.
dBμV/m or dBuV/m
 dB(μV/m) – electric field strength relative to 1 microvolt per meter. Often used to specify the signal strength from a television broadcast at a receiving site (the signal measured at the antenna output will be in dBμV).
dBf
 dB(fW) – power relative to 1 femtowatt.
dBW
 dB(W) – power relative to 1 watt.
dBk
 dB(kW) – power relative to 1 kilowatt.
Antenna measurements
dBi
 dB(isotropic) – the forward gain of an antenna compared with the hypothetical isotropic antenna, which uniformly distributes energy in all directions. Linear polarization of the EM field is assumed unless noted otherwise.
dBd
 dB(dipole) – the forward gain of an antenna compared with a halfwave dipole antenna. 0 dBd = 2.15 dBi
dBiC
 dB(isotropic circular) – the forward gain of an antenna compared to a circularly polarized isotropic antenna. There is no fixed conversion rule between dBiC and dBi, as it depends on the receiving antenna and the field polarization.
dBq
 dB(quarterwave) – the forward gain of an antenna compared to a quarter wavelength whip. Rarely used, except in some marketing material. 0 dBq = −0.85 dBi
Other measurements
dBHz
 dB(hertz) – bandwidth relative to 1 Hz. E.g., 20 dBHz corresponds to a bandwidth of 100 Hz. Commonly used in link budget calculations. Also used in carriertonoisedensity ratio (not to be confused with carriertonoise ratio, in dB).
dBov or dBO
 dB(overload) – the amplitude of a signal (usually audio) compared with the maximum which a device can handle before clipping occurs. Similar to dBFS, but also applicable to analog systems.
dBr
 dB(relative) – simply a relative difference from something else, which is made apparent in context. The difference of a filter's response to nominal levels, for instance.
 dB above reference noise. See also dBrnC.
See also
 Apparent magnitude
 Cent in music
 dB drag racing
 Equalloudness contour
 Noise (environmental)
 Phon
 Richter magnitude scale
 Signal noise
 Weighting filter—discussion of dBA
References
 ^ IEEE Standard 100 Dictionary of IEEE Standards Terms, Seventh Edition, The Institute of Electrical and Electronics Engineering, New York, 2000; ISBN 0738126012; page 288
 ^ ^{a} ^{b} ^{c} Analog Devices : Virtual Design Center : Interactive Design Tools : Utilities : V_{RMS} / dBm / dBu / dBV calculator
 ^ The International System of Units (SI).
 ^ Kenneth Simonds Johnson (1944). Transmission circuits for telephonic communication: methods of analysis and design. D. Van Nostrand Co.. p. 10.
 ^ Don Davis and Carolyn Davis (1997). Sound system engineering (2nd ed.). Focal Press. p. 35. ISBN 9780240803050. http://books.google.co.uk/books?id=9mAUp5IC5AMC&pg=PA35.
 ^ Bell Labs (1925). Transmission Circuits for Telephonic Communication.
 ^ R. V. L. Hartley (Dec. 1928). "'TU' becomes 'Decibel'". Bell Laboratories Record (AT&T) 7 (4): 137–139. http://books.google.com/books?id=h1ciAQAAIAAJ&q=decibel+bel&dq=decibel+bel.
 ^ Martin, W. H. (January 1929). "DeciBel—The New Name for the Transmission Unit". Bell System Technical Journal 8 (1).
 ^ 100 Years of Telephone Switching, p. 276, Robert J. Chapuis, Amos E. Joel, 2003
 ^ William H. Harrison (1931). "Standards for Transmission of Speech". Standards Yearbook (National Bureau of Standards, U. S. Govt. Printing Office) 119
 ^ Consultative Committee for Units, Meeting minutes, Section 3
 ^ "Letter symbols to be used in electrical technology – Part 3: Logarithmic and related quantities, and their units", IEC 600273 Ed. 3.0, International Electrotechnical Commission, 19th July 2002.
 ^ A. Thompson and B. N. Taylor, "Comments on Some Quantities and Their Units", The NIST Guide for the use of the International System of Units, National Institute of Standards and Technology, May 1996.
 ^ "International Standard CEIIEC 273 Letter symbols to be used in electrical technology Part 3: Logarithmic quantities and units". International Electrotechnical Commission.
 ^
 Mark, James E., Physical properties of polymers handbook, Springer, 2007, p 1025: "… the decibel represents a reduction in power of 1.258 times."
 Schrader , Barry, Introduction to electroacoustic music, Prentice Hall, 1982, p 23: "An increase of one dB is equal to a multiplication of the intensity level by a factor of about 1.258. "
 Elbert, Bruce, The satellite communication applications handbook, Artech House, 2004, p 30: Table shows "1.0 decibel" is equal to a power ratio of "1.26".
 Tse, Francis (Ed), Measurement and instrumentation in engineering: principles and basic laboratory experiments, CRC Press, 1989, p 208: "In fact, +1 dB is a ratio of 1.12:1"
 Yost, William, Fundamentals of hearing: an introduction, Holt, Rinehart and Winston, 1985, p 206: "… a pressure ratio of 1.122 equals +1.0 dB"
 ^ "Electronic Engineer's Handbook" by Donald G. Fink, EditorinChief ISBN 0070209804 Published by McGraw Hill, page 193
 ^ National Institute on Deafness and Other Communications Disorders, NoiseInduced Hearing Loss (National Institutes of Health, 2008).
 ^ Bob Chomycz (2000). Fiber optic installer's field manual. McGrawHill Professional. pp. 123–126. ISBN 9780071356046. http://books.google.com/books?id=B810SYIAa4IC&pg=PA123.
 ^ Stephen J. Sangwine and Robin E. N. Horne (1998). The Colour Image Processing Handbook. Springer. pp. 127–130. ISBN 9780412806209. http://books.google.com/?id=oEsZiCt5VOAC&pg=PA127&dq=image++db+20log+video+voltage.
 ^ Francis T. S. Yu and Xiangyang Yang (1997). Introduction to optical engineering. Cambridge University Press. pp. 102–103. ISBN 9780521574938. http://books.google.com/books?id=RYm7WwjsyzkC&pg=PT120.
 ^ Junichi Nakamura (2006). "Basics of Image Sensors". In Junichi Nakamura. Image sensors and signal processing for digital still cameras. CRC Press. pp. 79–83. ISBN 9780849335457. http://books.google.com/books?id=UY6QzgzgieYC&pg=PA79.
 ^ Thompson, A. and Taylor, B. N. Guide for the Use of the International System of Units (SI) 2008 Edition, 2nd printing (November 2008), SP811 PDF
 ^ What is the difference between dBv, dBu, dBV, dBm, dB SPL, and plain old dB? Why not just use regular voltage and power measurements? – rec.audio.pro Audio Professional FAQ
 ^ http://www.deltamedia.com/resource/db_or_not_db.html
 ^ The IEEE Standard Dictionary of Electrical and Electronics terms (6th ed.). IEEE. 1996 [1941]. ISBN 1559378336.
 ^ Jay Rose (2002). Audio postproduction for digital video. Focal Press,. p. 25. ISBN 9781578201167. http://books.google.com/?id=sUcRegHAXdkC&pg=PA25&dq=db+almostalwaysreferring.
 ^ Morfey, C. L. (2001). Dictionary of Acoustics. Academic Press, San Diego.
 ^ ITUR BS.1770
 ^ "Radar FAQ from WSI". Archived from the original on 20080518. http://web.archive.org/web/20080518035848/http://www.srh.noaa.gov/tsa/radar_faq.html. Retrieved 20080318.
 ^ "Definition at Everything2". http://everything2.com/title/dBsm. Retrieved 20080806.
External links
 What is a decibel? With sound files and animations
 Conversion of dBu to volts, dBV to volts, and volts to dBu, and dBV
 Conversion of sound level units: dBSPL or dBA to sound pressure p and sound intensity J
 Conversion of voltage V to dB, dBu, dBV, and dBm
 OSHA Regulations on Occupational Noise Exposure
 V_{peak}, V_{RMS}, Power, dBm, dBu, dBV online converter at Analog Devices
 Use of the decibel with respect to aerials and aerial systems
decibel units (dB) SI units Base units Derived units Accepted for use
with SIDalton (Atomic mass unit) · Astronomical unit · Day · Decibel · Degree of arc · Electronvolt · Hectare · Hour · Litre · Minute · Minute of arc · Neper · Second of arc · Tonne
Atomic units · Natural unitsSee also SI prefixes · Systems of measurement · Conversion of units · New SI definitions · History of the metric systemCategories: Units of measure
 Acoustics
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 Audio electronics
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Look at other dictionaries:
Decibel — Décibel Pour les articles homonymes, voir Décibel (homonymie). Le décibel (dB) est une unité logarithmique de mesure du rapport entre deux puissances. C’est une grandeur sans dimension en dehors du système international[1]. Elle est utilisée… … Wikipédia en Français
Decibel — Basisdaten Entwickler KDE / supported by NLNet and basysKom Aktuelle Version … Deutsch Wikipedia
décibel — [ desibɛl ] n. m. • 1932; de déci et 2. bel 1 ♦ Métrol. Unité, égale au dixième du bel, servant à exprimer le rapport de deux puissances (acoustiques, électriques, etc.), notamment d une puissance donnée par rapport à une puissance de référence… … Encyclopédie Universelle
decibel — DECIBÉL, decibeli, s.m. Unitate de măsură a intensităţii sonore, egală cu o zecime dintr un bel. – Din fr. décibel. Trimis de dante, 13.09.2007. Sursa: DEX 98 decibél s. m., pl. decibéli; simb. dB Trimis de siveco, 10.08.2004. Sursa: Dicţionar… … Dicționar Român
Decibel — Saltar a navegación, búsqueda Decibel puede referirse a: decibelio en inglés, nombre de la unidad de comparación de magnitudes; a la rock progresivo y del rock en oposición, a Decibel, el framework de comunicaciones en tiempo real de KDE 4.… … Wikipedia Español
dècibel — m 1. {{001f}}fiz. jedinica za mjerenje razlika u snazi (simbol dB), najčešće u elektronici; u akustici mjeri razlike u pritiscima u mediju koji prenosi zvuk (jedan decibel je približno najmanja razlika intenziteta zvuka koju može zamijetiti… … Veliki rječnik hrvatskoga jezika
decibel — 1928, from DECI (Cf. deci ) + BEL (Cf. bel) (n.) … Etymology dictionary
decibel — s. m. Décima parte do bel, unidade de medida que serve, em acústica, para definir uma escala de intensidade sonora (símbolo: dB). [A voz média tem por intensidade 55 dB.] … Dicionário da Língua Portuguesa
decibel — o decibelio sustantivo masculino 1. Área: física Unidad que se utiliza para medir la intensidad de un sonido … Diccionario Salamanca de la Lengua Española
decibel — m. Fís. decibelio … Diccionario de la lengua española
decibel — ► NOUN ▪ a unit of measurement expressing the intensity of a sound or the power of an electrical signal. ORIGIN from DECI (Cf. ↑deci ) + bel, a unit (= 10 decibels) named after Alexander Graham Bell (1847 1922), inventor of the telephone … English terms dictionary