On Digital Realizations of Non-integer Order Filters

Generalized Schwarz Form and Lattice-Ladder Realizations of Digital Filters

This paper deals with the structural properties of lattice-ladder realization of digital filters in a state-space model context. A salient feature of the lattice-ladder realization in state space is its close connection to the Schwarz form, a class of matrices which plays a key role in the stability analysis of linear systems. This connection is further investigated and generalized in this pape...

On the limit cycles in the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-order digital filters

This paper gives conjecture on the absence of limit cycles of the minimum L2-sensitivity realizations subject to L2scaling constraints for second-order digital filters. We design second-order digital filters with various pole-zero configurations, synthesize the minimum L2-sensitivity realizations subject to L2-scaling constraints, and examine if their coefficient matrices satisfy a sufficient c...

Design of Efficient Digital Interpolation Filters for Integer Upsampling

Digital signal interpolation systems can be implemented in a variety of ways. The most basic interpolation system for integer upsampling cascades an expander unit with an interpolation lowpass filter. More complex implementations can cascade multiple expander and low-pass filter pairs. There is also flexibility in the design of interpolation filters. This thesis explores how digital interpolati...

Integer realizations of disk and segment graphs

A disk graph is the intersection graph of disks in the plane, a unit disk graph is the intersection graph of same radius disks in the plane, and a segment graph is an intersection graph of line segments in the plane. Every disk graph can be realized by disks with centers on the integer grid and with integer radii; and similarly every unit disk graph can be realized by disks with centers on the ...

On Order Types, Projective Classes, and Realizations