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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