Summary: 338 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS--I: REGULAR PAPERS, VOL. 54, NO. 2, FEBRUARY 2007
Novel Approach to Analog-to-Digital Transforms
Mohamad Adnan Al-Alaoui, Senior Member, IEEE
Abstract--A novel approach to analog-to-digital transforms,
-to- transforms, is presented. The approach applies the
Boxer­Thaler expansion to a leaky differentiator or to a leaky
integrator instead of an ideal differentiator or integrator. The bi-
linear (Tustin) and the matched pole­zero (MPZ) transformation
are special realizations of the new transforms, with an additional
built-in prewarping and additional built-in zero placement, re-
spectively. 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.
Index Terms--Bilinear (Tustin) transformation, Boxer­Thaler
transformation, digital control, digital filters, digital signal pro-
cessing, integrators, matched pole­zero (MPZ), -to- transforms.
I. INTRODUCTION
THERE are two major approaches to designing infinite im-
pulse response (IIR) digital filters [1]­[7], [15]. One ap-
proach is the Direct Digital Design approach, which includes

Source: Al-Alaoui, Mohamad Adnan - Faculty of Engineering and Architecture, American University of Beirut, Lebanon

Collections: Engineering