The alpha-approximation has stable range [0.5, 1], admits a 'hexagonal' integration interpretation, and the paper conjectures no single alpha minimizes both amplitude and phase distortion across all frequencies.
Figure 3 shows the amplitude and phase distortion of a low-pass filter (LPF) with differentα
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Comprehensive Analysis and Exclusion Hypothesis of $\alpha$-Approximation Method for Discretizing Analog Systems
The alpha-approximation has stable range [0.5, 1], admits a 'hexagonal' integration interpretation, and the paper conjectures no single alpha minimizes both amplitude and phase distortion across all frequencies.