How do you analyze and ensure stability in high-order active filter designs?

Active filter stability analysis: analyze open-loop gain and phase margin using Bode plots, ensure adequate phase margin (>45 degrees) at unity-gain crossover frequency, consider op-amp gain-bandwidth product limitations (sets maximum practical filter order and frequency), evaluate Q factor of individual stages (high Q increases noise and sensitivity), and implement as cascade of second-order sections (Sallen-Key, MFB) rather than single high-order stage. Address: component sensitivity (Monte Carlo analysis for tolerance effects), temperature stability (NP0/C0G capacitors, low TCR resistors), and settling time for step inputs. For switched-capacitor filters, ensure adequate clock-to-cutoff frequency ratio. Prototype validation should include impulse response and stability under input overload conditions.