We introduce the notion of ideal, prime ideal, lter, fuzzy ideal, fuzzy prime ideal, fuzzy lter of ordered $Gamma$-semiring and study their properties and relations between them. We characterize the prime ideals and lters of ordered $Gamma$-semiring with respect to fuzzy ideals and fuzzy l- ters respectively.

Several adaptive LMS L-lters, both constrained and unconstrained ones, are developed for noise suppression in images and being compared in this paper. First, the location-invariant LMS L-lter for a nonconstant signal corrupted by zero-mean additive white noise is derived. It is demonstrated that the location-invariant LMS L-lter can be described in terms of the generalized linearly constrained ...

A cubic polynomial lter is presented for edge preserving noise smoothing. The lter coeecients are adaptable and can be optimized to improve the l-ter result. Experiments show that the image quality achieved with the optimized cubic lter is comparable to that of a more complex rational lter.

A cubic polynomial lter is presented for edge preserving noise smoothing. The lter coeecients are adaptable and can be optimized to improve the l-ter result. Experiments show that the image quality achieved with the optimized cubic lter is comparable to that of a more complex rational lter.

By employing nonuniform nonunitary lter bank in an image coder increased performance in terms of both theoretical and practical (PSNR) coding gains, and subjective quality can be obtained. One possible candidate is octave-band tree-structured lter banks. In this paper, an optimized perfect reconstruction octave-band three-stage tree-structured lter bank is proposed. The lter coeecients are opti...

Historically, exact reconstruction FIR lter banks have had system delays of L?1, where L is the length of the analysis and synthesis lters. Recently it was shown that the system delay could be made less than L ? 1, which is attractive in applications like speech coding where excessive delays are annoying. In this paper, a formulation and new design algorithm are introduced for two-band low-dela...

| W e present a novel method{ lter decomposition approach, for multichannel blind de-convolution of non-minimum phase systems. In 20] we has developed an eecient natural gradient algorithm for causal FIR lters. In this paper we further study the natural gradient method for non-causal lters. We decompose the doubly nite l-ters into a product of two lters, a noncausal FIR lter and a causal FIR lt...

The recently-introduced fast aane projection (FAP) adaptive lter has performance rivalling that of the RLS adaptive lter in many situations. However , the sliding-window RLS algorithm embedded within the FAP adaptive lter can be too complex to implement in some cases. In this paper, we describe an alternate implementation of the FAP adaptive lter that uses orthogonal transforms to approximately...

In this paper we describe a 25-year (1986-2010) dataset of phytoplankton cell density abundance and biovolume in Lake Candia, eutrophic, natural, small, shallow lake located north-western Italy, with data that are made available through the GBIF repository. The belongs to national (LTER-Italy), European (LTER-Europe) International (ILTER) long-term ecological research (LTER) networks. Phytoplan...

The discrete wavelet decomposition and reconstruction remains one of the main issues of current signal and image compression. A lot of work was done with the purpose of nding wavelet kernels that would guarantee good compression results. The question of orthogonal wavelet transform was treated in detail in 5], 4], 2] and other articles, while the biorthogonal wavelets were considered in 6], 7] ...