NxS Stability Analysis: Beyond Probe-Based RFStability

NxS Stability Analysis: Beyond Probe-Based RFStability

MAXDI INC

Cognitave Inc (Subsidiary)

2025

Summary

NxS (Nonlinear eXtended Stability) assesses stability as an intrinsic property of the executed design-

flow graph. Unlike probe-driven methods (e.g., ADS WS-Probe), NxS evaluates the Jacobian of

the graph execution operator and derives deterministic stability metrics.

1 WS-Probe Paradigm

Probe-based approaches inject auxiliary signals and infer stability from observed behavior. This

procedure can be sensitive to probe placement and simulator semantics.

2 NxS Operator

Let the executed system be represented by an operator E(x; θ). NxS computes:

S_{NxS} =

∂E/∂x| x=x*.

Stability is indicated when the dominant real eigenvalue of SNxS remains negative.

3 RF Interpretation

In RF systems, NxS stability regions reduce to familiar impedance-based criteria and may be

visualized on a Smith chart. The key difference is causal traceability and deterministic execution.

4 Extension to Inference

Because NxS operates on the system graph, the same machinery extends to inference layers and

MXD disk embeddings, enabling unified stability analysis across physical and abstract domains.

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