Summary

This blog explains how to build simple, stable discrete-time models of lossy LC networks so they can be used in time-domain analyses and mixed analog–DSP simulations. It shows practical discretization approaches, highlights numerical stability and damping issues, and demonstrates how to integrate the models with DSP workflows and MATLAB/Simulink co-simulation.

Key Takeaways

• Derive a discrete-time state-space model for lossy LC networks that preserves key frequency- and loss-related behaviors.
• Apply and compare common discretization methods (e.g., bilinear transform, impulse invariance) and understand their trade-offs for LC filters.
• Assess and mitigate numerical damping and stability issues introduced by discretization of passive networks.
• Integrate discrete LC models into DSP chains and MATLAB/Simulink for mixed-signal analysis and real-time evaluation.

Who Should Read This

Intermediate DSP or analog/mixed-signal engineers who need time-domain discrete models of lossy LC filters to co-simulate with digital filters or implement real-time DSP interactions.

Still RelevantIntermediate

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