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An approach for synthesized compact models (SCM) of substrate noise coupling is presented. The model is formulated using parameterized and scalable Z matrix. The improvement in modeling near field effects results in better substrate noise modeling for analog circuits. The geometrical scalability of the model provides a bi-directional link between noise analysis in the post-layout phase for verification and the noise-aware layout synthesis using convex optimization techniques. The model is validated by rigorous EM and device simulations. Several application examples are used to demonstrate the bi-directional usage of the model.