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A/D Converter Calculations for RF Applications

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These equations predict the RF electrical performance of Analog-to-Digital Converters. Since A/D converters are often the last stage in a receiver chain, it is extremely useful to be able to predict the contribution for noise figure, jitter, dynamic range, etc., since those values are needed for a complete cascade analysis. Be sure to note units both for the input parameters and for the equations, or you will end up with really bad results.

At the bottom of the page is an interactive calculator based on the Microsoft Office Web Components  (OWC), which allows an Excel spreadsheet to be embedded on the page.

A/D input full-scale power equationA/D input full-scale power
VariableDefinition
VFSFull-scale peak input voltage
JitterAperture jitter time
"q" LevelsNumber of "q" levels
FAnalogSampled analog input signal frequency
PFSFull-scale input power
P1qPower of one "q" level
DRDynamic range
VFSFull scale input voltage
V1qInput voltage at one "q" levels
VnqInput voltage at "n" quantization ("q") levels
# of bitsTotal number of bits
PJitterPower in aperture jitter
SNRSignal-to-noise ratio

Note: Thanks to John P. for pointing out jitter power equation discrepancy that omitted the input resistance.

Power of one "q" level equationPower of one "q" level
Dynamic range equationDynamic range
A/D input full-scale rms voltage equationA/D input full-scale rms voltage
One “q” level at peak voltage equationOne “q” level at peak voltage
One “q” level at peak voltage in rms equationSame as above, in rms
Voltage level at “n” quantization (“q”) levels equationVoltage level at “n” quantization (“q”) levels
Voltage level at “n” quantization (“q”) levels in rms equationSame as above, in rms
Power of “n” quantization (“q”) levels equationPower of “n” quantization (“q”) levels
Input dynamic range for “N” bits equationInput dynamic range for “N” bits
Jitter power equationJitter power
Signal-to-noise ratio equationSignal-to-noise ratio

This calculator uses the above equations
Office Web Components (OWC) are required for this calculator to function.

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