DBm

dBm

dBm

Power level referenced to one milliwatt


dBm or dBmW (decibel-milliwatts) is a unit of level used to indicate that a power level is expressed in decibels (dB) with reference to one milliwatt (mW). It is used in radio, microwave and fiber-optical communication networks as a convenient measure of absolute power because of its capability to express both very large and very small values in a short form. dBW is a similar unit, referenced to one watt (1,000 mW).

A schematic showing the relationship between dBu (the voltage source) and dBm (the power dissipated as heat by the 600 Ω resistor)

The decibel (dB) is a dimensionless unit, used for quantifying the ratio between two values, such as signal-to-noise ratio. The dBm is also dimensionless,[1][2] but since it compares to a fixed reference value, the dBm rating is an absolute one.

The dBm is not a part of the International System of Units (SI) and therefore is discouraged from use in documents or systems that adhere to SI units (the corresponding SI unit is the watt). However, the unit decibel (dB), without the 'm' suffix, is permitted for relative quantities, but not accepted for use directly alongside SI units. Ten decibel-milliwatts may be written 10 dB (1 mW) in SI.[3]:7.4

In audio and telephony, dBm is typically referenced relative to a 600-ohm impedance,[4] while in radio-frequency work dBm is typically referenced relative to a 50-ohm impedance.[5]

Unit conversions

A power level of 0 dBm corresponds to a power of 1 milliwatt. A 10 dB increase in level is equivalent to a ten-fold increase in power. Therefore, a 20 dB increase in level is equivalent to a 100-fold increase in power. A 3 dB increase in level is approximately equivalent to doubling the power, which means that a level of 3 dBm corresponds roughly to a power of 2 mW. Similarly, for each 3 dB decrease in level, the power is reduced by about one half, making −3 dBm correspond to a power of about 0.5 mW.

To express an arbitrary power P in mW as x in dBm, the following expression may be used:[6]

Conversely, to express an arbitrary power level x in dBm, as P in mW:

Table of examples

Below is a table summarizing useful cases:

More information Power level, Power ...

Standards

The signal intensity (power per unit area) can be converted to received signal power by multiplying by the square of the wavelength and dividing by 4π (see Free-space path loss).

In United States Department of Defense practice, unweighted measurement is normally understood, applicable to a certain bandwidth, which must be stated or implied.

In European practice, psophometric weighting may be, as indicated by context, equivalent to dBm0p, which is preferred.

In audio, 0 dBm often corresponds to approximately 0.775 volts, since 0.775 V dissipates 1 mW in a 600 Ω load.[16] The corresponding voltage level is 0 dBu, without the 600 Ω restriction. Conversely, for RF situations with a 50 Ω load, 0 dBm corresponds to approximately 0.224 volts, since 0.224 V dissipates 1 mW in a 50 Ω load. In general the relationship between the power level P in dBms and the RMS voltage V in volts across a load of resistance R (typically used to terminate a transmission line with impedance Z) is:

Expression in dBm is typically used for optical and electrical power measurements, not for other types of power (such as thermal). A listing by power levels in watts is available that includes a variety of examples not necessarily related to electrical or optical power.

The dBm was first proposed as an industry standard[16] in the paper "A New Standard Volume Indicator and Reference Level".[17]

See also


References

Public Domain This article incorporates public domain material from Federal Standard 1037C. General Services Administration. Archived from the original on 2022-01-22. (in support of MIL-STD-188).

  1. Green, Lynne D. (2019). Fiber Optic Communications. CRC Press. p. 181. ISBN 9781000694512.
  2. Kosatsky, Tom (2013). Radiofrequency Toolkit for Environmental Health Practitioners (PDF). British Columbia Centre for Disease Control. p. 8. Archived (PDF) from the original on 2022-10-09.
  3. Bigelow, Stephen (2001). Understanding Telephone Electronics. Newnes. pp. 16. ISBN 978-0750671750.
  4. Carr, Joseph (2002). RF Components and Circuits. Newnes. pp. 45–46. ISBN 978-0750648448.
  5. "OBSERVATION OF GRAVITATIONAL WAVES FROM A BINARY BLACK HOLE MERGER" (PDF). LSC (Ligo Scientific Collaboration). Caltech. 2015. Archived (PDF) from the original on 2022-10-09. Retrieved 10 April 2021.
  6. "Found! Gravitational Waves, or a Wrinkle in Spacetime". National Geographic. 2016-02-11. Archived from the original on February 24, 2021. Retrieved 2021-04-10.
  7. "Ask Us: Sun". Cosmicopia. NASA. 2012. Archived from the original on 2000-08-16. Retrieved 13 July 2017.
  8. Li, Wei; Li, Zhi-qiang; Sun, Xiao-liang; Zhang, Jun (2015-11-01). "A reliable, compact, and repetitive-rate high power microwave generation system". Review of Scientific Instruments. 86 (11): 114704. Bibcode:2015RScI...86k4704L. doi:10.1063/1.4935500. ISSN 0034-6748. PMID 26628156.
  9. "AN/FPS-85". US Air Force Fact Sheet. United States Dept. of Defense. Retrieved May 19, 2017.
  10. "Part 97 - Amateur Radio". ARRL. Archived from the original on 2012-10-09. Retrieved 2012-09-21.
  11. Archived 2016-12-22 at the Wayback Machine FCC Part 97 Amateur Radio Service - Rule 97.215, Telecommand of model craft, section (c).
  12. "Radiant Flux of a Magnitude +3.5 Star". Archived from the original on 2012-06-30. Retrieved 2009-07-22.
  13. Davis, Gary (1988). The Sound Reinforcement Handbook. Yamaha. p. 22. ISBN 0881889008.
  14. Chinn, H. A.; D. K. Gannett; R. M. Moris (January 1940). "A New Standard Volume Indicator and Reference Level" (PDF). Proceedings of the Institute of Radio Engineers. 28 (1): 1–17. doi:10.1109/JRPROC.1940.228815. S2CID 15458694. Archived (PDF) from the original on 2012-02-13. Retrieved 2012-08-04.

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