Unraveling Negative Feedback Translations: Gains, Peaking, Stability, and Loop Variations

This brief develops a quick, precise, and insightful method for analyzing the closed-loop frequency response, peaking, and stability of complex negative feedback systems. Loop variations are explored to simplify analysis for complex feedback loops. The proposed method improves on the state-of-the-art by emphasizing circuit intuition, reducing algebraic complexity, simplifying complex feedback loops, while preserving the accuracy of the exact solution. The result shows that the closed-loop response follows the lowest forward translation across frequencies, verified by SPICE and MATLAB simulations.