THE CPL PROTOCOL

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Definitions

A waveform can be described as a set of two one dimensional arrays: S[1...N] and T[1...N]. The index n corresponds with the number of the samples and is an integer value in the range 1...N. The waveform of a sampled signal describes for a range of sample moments (T[1]...T[N]; usually expressed in seconds) the value of the signal at these moments (S[1]...S[N]; usually expressed in volts).

A waveform is sometimes expressed in other units. An FFT waveform for example gives for a range; of frequencies (T[1]...T[N]; expressed in Hz) the signal amplitude of these frequency components (S[1]...S[N]; expressed in dB). Another example is the possibility to multiply an input voltage with a floating point value of another dimension.

Formula’s

 

S[n]

S[n] is the value of sample n, expressed in Y-units.

 

Y-units are usually expressed in volts.

 

S[n] = (Yz + (Y[n] * Yr)) * Yu

Sensitivity

Usually the sensitivity is expressed in volt/div. In the oscilloscope,

 

the range of the Y[n] values (Yrng) always equals 2^16 = 65535,

 

which corresponds with 10.24 divisions on the screen. This gives a

 

maximum vertical resolution of 6400 ’levels’ per division.

 

Sensitivity is expressed in Y-units/division.

 

Sensitivity = 6400 * Yr * Yu/div

Offset

Offset is the vertical screen position of the signal ground level,

 

indicated by "1-" (excluding Y-pos shift). The offset can be adjusted

 

with the front panel Y POS controls. For calculated traces the offset

 

can be adjusted with the delta-controls in the MATHematics menu.

 

Offset is expressed in Y-units (volts).

 

Offset = -Yz * Yu

 

Note: Traces can also be positioned with the Y-pos control in the

 

RECALL menu, but this does not affect the offset. The

 

reason is that Y-pos is a pure display function, which

 

therefore does not affect the signal sampling, nor the

 

calculation of a trace using a mathematics function.

T[n]

T[n] is the sample moment, expressed in X-units.

 

X-units are usually expressed in seconds.

 

T[n] = (Xz + (n-1) * Xr) + (dT-corr * Xr)) * Xu

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Fluke PM3370B user manual Definitions, Formula’s, Sn = Yz + Yn * Yr * Yu, Sensitivity = 6400 * Yr * Yu/div, Offset