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DBm0
dBm0 is an abbreviation for the power in dBm measured at a zero transmission level point. 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 0 dBm0 output. Note 1: A consequence for the A-law and μ-law codecs of the 0 dBm0 definition is that they have a respective 3.14 dBm0 and 3.17 dBm0 maximum signal level (ratio between the maximum obtainable sine wave amplitude and the specified reference 0 dBm0 sine wave amplitude). Note 2: 0 dBm0 is often replaced by or used instead of digital milliwatt or zero transmission level point. The "unit" dBm0 is used to describe levels of digital signals. E.g. the nominal downlink level in mobile phone telecommunication at the point of interconnection (POI) is -16 dBm0. The unit is derived from its counterpart dBm. Even though digitally represented signals have nothing to ...
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Zero Transmission Level Point
In telecommunication, a transmission level point (TLP) is a physical test point in an electronic circuit, typically a transmission channel, where a test signal may be inserted or measured.Whitham R. Reeve (1992) ''Subscriber Loop Signaling and Transmission Handbook—Analog'', IEEE Press, p.229 Typically, various parameters, such as the power of the signal, noise, or test tones inserted are specified or measured at the TLP. The nominal transmission level at a TLP is a function of system design and is an expression of the design gain or attenuation (loss). Voice-channel transmission levels at test points are measured in decibel-milliwatts (dBm) at a frequency of ca. 1000 hertz. The dBm is an absolute level with respect to 1 mW. The TLP is thus characterized by the relation: :TLP = dBm — dBm0 When the nominal signal power is 0dBm at the TLP, the test point is called a ''zero transmission level point'', or ''zero-dBm TLP''. In general, the term ''TLP'' is commonly used as if ...
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A-law
An A-law algorithm is a standard companding algorithm, used in European 8-bit PCM digital communications systems to optimize, i.e. modify, the dynamic range of an analog signal for digitizing. It is one of two versions of the G.711 standard from ITU-T, the other version being the similar μ-law, used in North America and Japan. For a given input x, the equation for A-law encoding is as follows: F(x) = \sgn(x) \begin \dfrac, & , x, < \dfrac, \\ ex \dfrac, & \dfrac \leq , x, \leq 1, \end where A is the compression parameter. In Europe, A = 87.6. A-law expansion is given by the inverse function: F^(y) = \sgn(y) \begin \dfrac, & , y, < \dfrac, \\ \dfrac, & \dfrac \leq , y, < 1. \end The reason for this encoding is that the wide

Digital Milliwatt
In digital telephony, the digital milliwatt is a standard test signal that serves as a reference for analog signal levels in the telecommunications network.Anttalainen T., ''Introduction to Telecommunications Network Engineering, Artech House (2003). When decoding the digital milliwatt, a PCM decoder produces a sinusoidal signal with a frequency of with one milliwatt in power (). The digital milliwatt signal is encoded by eight 8-bit words corresponding to one pulse-code modulated cycle of the signal, sampled 8000 times per second. It is typically stored in read-only memory (ROM) in the telecommunication equipment.AT&T, ''Digital Channel Bank Requirements And Objectives'', Publication No. 43801 (December 1978). page A6. The digital milliwatt signal is often generated in instruments in place of separate test equipment. It has the advantage of being tied in frequency and amplitude to the relatively stable digital clock signal and power (voltage) supply, respectively, that are us ...
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Root Mean Square
In mathematics and its applications, the root mean square of a set of numbers x_i (abbreviated as RMS, or rms and denoted in formulas as either x_\mathrm or \mathrm_x) is defined as the square root of the mean square (the arithmetic mean of the squares) of the set. The RMS is also known as the quadratic mean (denoted M_2) and is a particular case of the generalized mean. The RMS of a continuously varying function (denoted f_\mathrm) can be defined in terms of an integral of the squares of the instantaneous values during a cycle. For alternating electric current, RMS is equal to the value of the constant direct current that would produce the same power dissipation in a resistive load. In estimation theory, the root-mean-square deviation of an estimator is a measure of the imperfection of the fit of the estimator to the data. Definition The RMS value of a set of values (or a continuous-time waveform) is the square root of the arithmetic mean of the squares of the values, or th ...
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DBFS
Decibels relative to full scale (dBFS or dB FS) is a unit of measurement for amplitude levels in digital systems, such as pulse-code modulation (PCM), which have a defined maximum peak level. The unit is similar to the units dBov and decibels relative to overload (dBO). The level of 0dBFS is assigned to the maximum possible digital level. For example, a signal that reaches 50% of the maximum level has a level of −6dBFS, which is 6dB below full scale. Conventions differ for root mean square (RMS) measurements, but all peak measurements smaller than the maximum are negative levels. A digital signal that does not contain any samples at 0dBFS can still clip when converted to analog form due to the signal reconstruction process interpolating between samples. This can be prevented by careful digital-to-analog converter circuit design. Measurements of the true inter-sample peak levels are notated as dBTP or dB TP ("decibels true peak"). RMS levels Since a peak measurement is not ...
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