Why is there a discrepancy in the IBIS-AMI model example between the statistical phase model and time domain model convergence values?

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When I follow the documentation example "ADC IBIS-AMI Model Based on COM" linked below, the time domain adaptation does not converge to the same value as the statistical phase adaptation.
Is this behavior expected? If so, why?

Accepted Answer

MathWorks Support Team
MathWorks Support Team on 9 Feb 2023
In the model example "ADC IBIS-AMI Model Based on COM", the convergence values in the statistical phase model and in the time domain model are calculated differently. The statistical phase model uses a "Hula-Hoop Alexander" search, while the time domain model uses "Early-Late Alexander" phase detection.
The statistical (SerDes "AMI_Init") model is a fast approximation of the time domain (SerDes "GetWave") behavior and therefore has several limitations:
1. "AMI_Init" does not handle non-linear systems with accuracy.
2. "AMI_Init" can only approximate the time-varying convergence behavior of the clock recovery and equalization adaptation. For systems with several control loops, determining the convergence point in "AMI_Init" is difficult.
3. "AMI_Init" primarily returns a modified impulse response, which the simulator will use to create an eye diagram and then derive eye metrics from.  An Analogue-Digital-Converter (ADC) doesn't have such a single probe point which a comparable eye diagram could be derived from; the eye diagram can therefore be considered "virtual" and only a rough estimation of the system behavior.
These limitations explain why there is a difference in the convergence values calculated in the statistical model and the time domain model.
A Signal-to-noise (SNR) metric as calculated by the "GetWave" receiver model is a more accurate model of system behavior and can be output as a custom AMI parameter. However, such an SNR output is not standardized as part of the IBIS spec.

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