Trajectory analysis establishes stability guarantees for second-order 1-bit ΣΔ quantization, reducing required filter length from O(1/(1-||f||∞)) to O(1/√(1-||f||∞)).
An optimal family of exponentially accurate one-bit sigma-delta quantization schemes.Communications on Pure and Applied Mathematics, 64(7):883–919, 2011
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On Trajectory-Based Stability Analysis for $1$-bit Sigma-Delta Quantization and its Application to the Second-Order Case
Trajectory analysis establishes stability guarantees for second-order 1-bit ΣΔ quantization, reducing required filter length from O(1/(1-||f||∞)) to O(1/√(1-||f||∞)).