A simple analytic design procedure for bireciprocal lattice wave digital filters (bireciprocal LWDFs) is presented with approximate linear phase. The design is started by replacing the odd order all-pass filter branch in the bireciprocal LWDF with a pure delay, leaving the other branch as an all-pass even function of z . Analytic design procedure is then formulated. Several design examples usin...

This investigation is motivated by a result we proved recently for the random transposition random walk: the distance from the starting point of the walk has a phase transition from a linear regime to a sublinear regime at time n/2. Here, we study three new examples. It is trivial that the distance for random walk on the hypercube is smooth and is given by one simple formula. In the case of ran...

This paper presents methods for the decomposition of arbitrary-length signals with linear-phase cosine-modulated "lter banks. The analysis "lters of this "lter bank are divided into two sets having di!erent centers of symmetry. This prohibits the use of standard extension methods as described in the literature. Nevertheless, we show that symmetric extension can be adapted in such a way that the...

Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realiz...

Abstract— A fundamental problem for control engineers is that of output tracking. The earlier approaches are restricted to certain classes of systems precluding the presence of zeros from certain regions in the complex plane, and do not reasonably take into account process and measurement noise. A technique to achieve output tracking applicable to non-minimum phase linear systems is presented w...

In this paper we describe an algorithm for design of bireciprocal linearphase lattice wave digital filters. The designed filters are characterized by the property of having a maximal number of attenuation zeros for a given filter order. Some design examples using this algorithm are also given.

In this paper a multi - objective linear fractional programming problem with the fuzzy variables and vector of fuzzy resources is studied and an algorithm based on a parametric approach is proposed. The proposed solving procedure is based on the parametric approach to find the solution, which provides the decision maker with more complete information in line with reality. The simplicity of the ...

Switched reluctance motor (SRM) drive has remarkable characteristics that make it attractive for high-speed applications. As the motor's speed increases the shape of the current waveform changes in such way that limits the production of motoring torque. At high speeds, it is possible for the phase current never reaches the desired value due to the self e.m.f. of the motor, therefore, the torque...

Experimental verification of our previously proposed linear phase imaging technique for differential interference contrast microscopy (DIC) microscopy is presented. This technique first applies phase-shifting methods to DIC to acquire linear phase gradient images in two orthogonal directions. A special Fourier integration algorithm is then applied to the combined phase gradient images to create...