full cycles are shown in Figure 7 for a carry channel in the middle of a 4x4 bit multiplier. The 4-phase hand-shaking on input and output channels can be observed in this plot. The cycle time is seen to be 5:25ns, which corresponds to a 190MHz throughput. 9 Conclusions We derive a highly parallel CSP description for an FIR lattice structure lter from a sequential program using the synthesis met...

We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of λ-theories. Relying on the notion of easy intersection type theory we successfully build a filter model in which the interpretation of an arbitrary simple easy term is any filter which can be described in an uniform way by a predicate. This allows us to prove the consistency of a well-know λ-...

Let us say that a class of upward closed sets (upsets) distributive lattices is finitary filter if it under homomorphic preimages, intersections, and directed unions. We show the only classes upsets are formed by what we call n-filters. These related to finite Boolean lattice with n atoms in same way filters two-element lattice: n-filters precisely intersections prime pre-images n-filter non-ze...

Pseudo-hoops are algebraic structures introduced in [1, 2] by B. Bosbach under the name of complementary semigroups. This is a formalization of the paper [4]. Following [4] we prove some properties of pseudo-hoops and we define the basic concepts of filter and normal filter. The lattice of normal filters is isomorphic with the lattice of congruences of a pseudo-hoop. We also study some importan...

In this paper, we present a new search method based on the theory of discrete Lagrange multipliers for designing multiplierless PR (perfect reconstruction) LP (linear phase) filter banks. To satisfy the PR constraints, we choose a lattice structure that, under certain conditions, can guarantee the resulting two filters to be a PR pair. Unlike the design of multiplierless QMF filter banks that r...

We illustrate the use of intersection types as a semantic tool for showing properties of the lattice of λ-theories. Relying on the notion of easy intersection type theory we successfully build a filter model in which the interpretation of an arbitrary simple easy term is any filter which can be described in an uniform way by a recursive predicate. This allows us to prove the consistency of a we...