High-Resolution Image Interpolation Using Two-Dimensional Lagrange-Type Variable Fractional-Delay Filter

Articulatory speech synthesis based on fractional delay waveguide filters

An extension to the traditional Kelly-Lochbaum vocal tract model is introduced. In the new model not only the diameter but also the length of each tube section can be continuously adjusted. This is achieved by using fractional delay filter techniques such as interpolation and deinterpolation. The filter structure consisting of bidirectional delay lines (digital waveguides) and interpolated port...

Structures for Interpolation, Decimation, and Nonuniform Sampling Based on Newton’s Interpolation Formula

The variable fractional-delay (FD) filter structure by Tassart and Depalle performs Lagrange interpolation in an efficient way. We point out that this structure directly corresponds to Newton’s interpolation (backward difference) formula, hence we prefer to refer to it as the Newton FD filter. This structure does not function correctly when the fractional delay is made time-variant, e.g., in sa...

CLOSED−FORM DESIGN OF DIGITAL FRACTIONAL−DELAY FILTERS WITH CONSTANT MAGNITUDE AND VARIABLE DELAY (WedAmOR7)

In most approximation techniques for implementing a variable fractional delay, like Lagrange interpolation, the magnitude response varies considerably with the delay. Instead, it would be desirable to keep the magnitude response the same for all delay values. In this paper, we propose a novel method for optimizing the parameters of the least−squared error spline transition band fractional delay...

A Fractional Delay Fir Filter Based on Lagrange Interpolation of Farrow Structure

An efficient implementation technique for the Lagrange interpolation is derived. This formulation called the Farrow structure leads to a version of Lagrange interpolation that is well suited to time varying FD filtering. Lagrange interpolation is mostly used for fractional delay approximation as it can be used for increasing the sampling rate of signals and systems. Lagrange interpolation is on...

Lagrange Two-Dimensional Interpolation Method for Modeling Nanoparticle Formation During RESS Process