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Novel Approach to Analog-to-Digital Transforms

A novel approach to analog-to-digital transforms, s-to-z transforms, is presented. The approach applies the Boxer-Thaler expansion to a leaky differentiator or to a leaky integrator instead of an ideal differentiator or integrator. The bilinear (Tustin) and the matched pole-zero (MPZ) transformation are special realizations of the new transforms, with an additional built-in prewarping and additional built-in zero placement, respectively. Examples are presented that demonstrate the viability of the approach where the proposed method is compared with the least-squares, bilinear (Tustin), and MPZ transformations