DBm0

Template:Lowercase dBm0 is an abbreviation for the power in decibel-milliwatts (dBm) measured at a zero transmission level point (ZLP).

dBm0 is a concept used (amongst other areas) in audio/telephony processing since it allows a smooth integration of analog and digital chains. Notably, for A-law and μ-law codecs the standards define a sequence which has a Template:Val output.Template:EfnTemplate:Efn

The unit dBm0 is used to describe levels of digital as well as analog signals and is derived from its counterpart dBm. Although today dBm0 may be considered supplanted by the similar unit decibels relative to full scale (dBFS) (discussion at Template:Slink), dBm0 can be viewed as connecting both the old world of analog telecommunication and the new world of digital communication. The Template:Val level corresponds to the digital milliwatt (DMW) and is defined as the absolute power level at a digital reference point of the same signal that would be measured as the absolute power level, in dBm, if the reference point was analog.

The absolute power in dBm scale for a power Template:Mvar in milliwatts (mW) is defined as: $$10{\log }_{10}\frac{P}{1\text{[mW]}}.$$ When the test impedance is Template:Val resistive, Template:Val can be referred to a voltage of Template:Val, which results in a reference active power of Template:Val. Then Template:Val corresponds to an overload level of approximately Template:Val in the analog-to-digital conversion.

Given a sinusoid signal of Template:Val RMS, the power at a zero transmission level point is:

$$P=\frac{(0.775[\mathrm{V}]{)}^2}{600[\mathrm{\Omega }]}=0.001[\mathrm{W}]=1[\mathrm{m}\mathrm{W}]=0[\mathrm{d}\mathrm{B}\mathrm{m}],$$

and the voltage level at the ZLP is:

$$L=10*{\log }_{10}{\left(\frac{0.775[\mathrm{V}]}{1[\mathrm{V}]}\right)}^2\approx -2.214[\mathrm{d}\mathrm{B}\mathrm{V}].$$

TIA-810 characterizes:

When a Template:Val analog signal is applied to the coder input, a Template:Val digital code is present at the digital reference. In general, when a Template:Val digital code is applied to the decoder, a Template:Val analog signal appears at the decoder output. More specifically, when the Template:Val periodic sequence as given in Table 2, in either mu-law or A-law as appropriate, is applied to the decoder at the digital reference point, a Template:Val, Template:Val sine-wave signal appears at the decoder output. Template:Val is 3.14 (A-law) or 3.17 (mu-law) dB below digital full scale.

In all standards, dBm0 is always an RMS unit. Peaks are described in a different way, sometimes by mentioning the margin to overload or clipping.

The nominal downlink level in mobile phone telecommunication at the point of interconnection is Template:Val.

Comparison to dBFS

Digital signals in the abstract digital realm do not necessarily inherently represent any type of measurable physical unit. They are not necessarily relative to any specific reference power level, and thus they need not be expressed as dBm0. But the early pioneers of telephonometry gave us the pseudo-digital unit of dBm0, which persists.

A more commonly used unit today for digital signal levels is dB Full Scale or dBFS. The relationship between dBm0 and dBFS is unfortunately ambiguous. It depends how RMS and peak levels in dBFS are defined.

The ambiguity is if a full scale sinusoidal in a digital system is defined to have an RMS level of Template:Val or if it should be defined to have a RMS value of Template:Val, equal to the dBFS peak value. Today, the interpretation by many companies tend to go towards a definition that a full scale sinusoidal is Template:Val and Template:Val. The only signal that can hold Template:Val according to this definition, is a fully saturated square wave. For the relationship between dBm0 and dBFS, this means that Template:Val is equivalent to Template:Val and Template:Val.

This also means that the commonly used POI (Point of Interconnect) level of Template:Val can be transformed to Template:Val in an A-law codec system, or Template:Val in a μ-law codec system (using the definition of a full scale sinusoidal being Template:Val and Template:Val.

Though, there are some companies defining that dBFS RMS equals dBFS peak for sinusoidal signals. Examples are: Qualcomm and Knowles (and other digital MEMS microphone companies). This gives some consequences when trying to calculate crest factors for speech or noise, because the difference between peak and rms value in analog domain does not correspond to the difference between peak and rms level in digital domain.

Other companies like Adobe (software creator of Adobe Audition) and Listen Inc. (software creator of SoundCheck) offer the possibility to choose which dBFS rms definition you want to use in the program.

Sources

• ETSI
• G.711