ADC INL/DNL offset and amplitude formula derivation in code density testing

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jeep26
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Hi Guys,
Could you please help me on the derrivation of offset and amplitude formula being used in the computation of ADC INL and DNL using code density testing.

below are the formulas.
Diagram of a sine wave sampled between horizontal lines labelled lastbin and firstbin, with shaded tails near each peak, beside a histogram of code against #occur, with formulas for C1, C2, offset and amp below.


Appreciate any help.

Regards.
 

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jeep26 said:
Hi Guys,
Could you please help me on the derrivation of offset and amplitude formula being used in the computation of ADC INL and DNL using code density testing.

below are the formulas.
Diagram of a sine wave clipped between horizontal lines labelled lastbin and firstbin, with shaded tails labelled c1 and c2, beside a histogram of code against occurrences, with formulas for offset and amplitude.


Appreciate any help.

Regards.

Welcome to the PF.

What is the context of the question?
 
hi berkeman,
The formula offset and amp indicated in the lower right of the diagram are used for curve fitting to compute for the INL and DNL using code density testing. I can't figure out how the C1 and C2 were derived.

Thanks for welcoming me.

Regards,
jeep