Recently, a filter structure for narrow-band filtering based on lattice wave digital filters was introduced. The structure has increased parallelism over the corresponding direct realization. In this paper, hardware implementation of the filter structure is discussed. The suggested approach uses bit-serial processing elements that are scheduled so that a maximally fast implementation is achieve...

To reduce particulate matter (PM) including soot in diesel exhaust gas, a diesel particulate filter (DPF) has been developed. Since it is difficult to observe the phenomena in a DPF experimentally, we have conducted a lattice Boltzmann simulation. In this study, we simulated the flow in a metallic filter. An X-ray computed tomography (CT) technique was applied to obtain its inner structure. The...

Adaptive signal processing or adaptive filter design is continuous research topic in digital filtering. Some adaptive algorithms including a gradient type algorithm for blind system [Higa et al., 1999], an algorithm for lattice all-pass filter with minimum multipliers [Okello et al., 1999], Sign-Sign algorithm based on Gaussian distributed tap weights [Koike, 2000], INLMS algorithm [Fujii et al...

Complex coefficient digital filters, with applications for processing real sequences, are examined. The method is quite general, and allows any real rational transfer function to be expressed in terms of a complex rational transfer function of reduced order. When implemented in complex hardware form, the reduction of filter order can provide an increase in computational efficiency and speed. Co...

In this paper, Bireciprocal Lattice Wave Digital Filters (BLWDFs) are utilized in an approximate linear phase design of 9 th order IIR wavelet filter banks (FBs). Each of the two branches in the structure of the BLWDF realizes an Allpass filter. The low-coefficient sensitivity, excellent dynamic range and good stability properties of such filters allow their realization with short coefficient w...

Many problems faced in the engineering world are computationally intensive. Filtering using FIR (Finite Impulse Response) filters is an example to that. This thesis discusses the implementation of a fast, reconfigurable, and scalable FIR (Finite Impulse Response) digital filter. Constant coefficient multipliers and a Fast FIFO implementation are also discussed in connection with the FIR filter....

This paper considers metrics valued in abelian `-groups and their induced topologies. In addition to a metric into an `-group, one needs a filter in the positive cone to determine which balls are neighborhoods of their center. As a key special case, we discuss a topology on a lattice ordered abelian group from the metric dG and the filter of positives consisting of the weak units of G; in the c...

We present a new gluing construction for semimodular lattices, related to the Hall–Dilworth construction. The gluing constructions in the lattice theory started with a paper of M. Hall and R. P. Dilworth [4] to prove that there exists a modular lattice that cannot be embedded in any complemented modular lattice. This construction is the following: let K and L be lattices, let F be a filter of K...

We derive a path counting formula for two-dimensional lattice model with filter restrictions in the presence of long steps, source and target points which are situated near filters. This solves problem finding an explicit multiplicities modules tensor product decomposition T(1)⊗N Uq(sl2) divided powers, where q is root unity. Combinatorial treatment this calls definition congruence regions mode...