The purpose of this report is to prove the following theorem. THEOREM: The smallest (nonzero) natural frequency that one can realize from a set of positive capacitors C1, ... Cm and a set of positive inductors L . . Ln results when one 1. connects the capacitors in parallel to produce a capacitance C = C1 .. + Cm• 2. connects the inductors in a series to produce an inductance L s = L 1 ... + Ln...

Let L be a lattice with the greatest element 1. Following concept of Radsupplemented modules, we define Rad-supplemented filters and will make an intensive investigate basic properties possible structures these filters.

Inthispaper, (L,M)-fuzzy domain finiteness and (L,M)-fuzzy restricted hull spaces are introduced, and several characterizations of the category (L,M)-CS of (L,M)-fuzzy convex spaces are obtained. Then, (L,M)-fuzzy stratified (resp. weakly induced, induced) convex spaces are introduced. It is proved that both categories, the category (L,M)-SCS of (L,M)-fuzzy stratified convex spaces and the cate...

This paper develops colored L-` filters and evaluates their performance in a fundamental speech processing problem: estimation of the glottal function for speech pitch detection. Colored L-` filters are an extension of the temporal/rank order based L-` filters in which the rank indexes are quantized (colored) and a bias is added to each weight. Quantizing the rank indexes reduces the number of ...

Nonlinear multichannel signal processing is an emerging research topic with numerous applications. In this paper we use the so-called reduced ordering (R-ordering) principle to introduce a new family of L lters for vector-valued observations. The coeecients of the proposed lters can be deduced so that the lters are optimal with respect to the output mean squared error. Expressions for the uncon...

In this paper we will discuss some properties of adaptive order-statistic lters. The main objective is the analysis of two adaptive algorithms which are commonly used to update the lter coeecients and the comparison with their linear counterparts. Such a comparison is a useful tool to get approximate results about the behaviour of these algorithms. This is true because the structure of the solu...

L-filters are very successful at restoration of signals corrupted by noise. However, their on-line design in real-time applications is practically impossible, since the computation of optimal L-filter coefficients with the existing methods based on numerical approximations are extremely time consuming. In this paper, we present a new design methodology for L-filters. Our approach allows one to ...

Every lattice is isomorphic to a lattice whose elements are sets of sets and whose operations are intersection and the operation ∨∗ defined by A ∨∗ B = A ∪ B ∪ {Z : (∃X ∈ A)(∃Y ∈ B)X ∩ Y ⊆ Z}. This representation spells out precisely Birkhoff’s and Frink’s representation of arbitrary lattices, which is related to Stone’s set-theoretic representation of distributive lattices. (AMS Subject Classi...

Dairy soiled water (DSW) is produced on dairy farms through the washing-down of milking parlours and holding areas, and is generally applied to land. However, there is a risk of nutrient loss to surface and ground waters from land application. The aim of this study was to use aerobic woodchip filters to remove organic matter, suspended solids (SS) and nutrients from DSW. This novel treatment me...

‎In this paper‎, ‎we define and study the notion of zero elements in topoframes; a topoframe is a pair‎ ‎$(L‎, ‎tau)$‎, ‎abbreviated $L_{ tau}$‎, ‎consisting of a frame $L$ and a‎ ‎subframe $ tau $ all of whose elements are complemented elements in‎ ‎$L$‎. ‎We show that‎ ‎the $f$-ring $ mathcal{R}(L_tau)$‎, ‎the set of $tau$-real continuous functions on $L$‎, ‎is uniformly complete‎. ‎Also‎, ‎t...