This RLS Lattice algorithm is developed by using vector space treatment with the introduction of the Forgetting Factor such that it offers fast convergence and good error performance in the presence of noise. A linear Adaptive filter using this algorithm is developed which is having advantage that we can directly add the next stage to the existing filter without changing the previous filter coe...

Optimizing the angles for the lattice structures in the prototype filter for perfect-reconstruction cosine-modulated and modified DFT filter banks is a very difficult task because there exist several local optima. In order to get around this problem, this paper describes an efficient systematic technique for designing prototype filters in the least-mean-square sense. First, the few angles for t...

In order to achieve fast convergence and less computation for adaptive filters, a joint method combining a whitening process and the NLMS algorithm is a hopeful approach. One of them is to combine a lattice predictor and a transversal filter supervised by the NLMS algorithm. However, the filter coefficient adaptation is very sensitive to the reflection coefficient fluctuation. In this paper, th...

This paper presents a fully configurable FPGA architecture for two-channel filter banks which enables rapid quantization error and hardware performance analysis. Lattice designs that eliminate the effects of quantization error do not necessarily exhibit linear phase and may result in excessive delay. This can make them ill-suited for applications such as digital audio. Thus, the effects of quan...

Bounded residuated lattice ordered monoids (R -monoids) are a common generalization of pseudo-BL-algebras and Heyting algebras, i.e. algebras of the non-commutative basic fuzzy logic (and consequently of the basic fuzzy logic, the Łukasiewicz logic and the non-commutative Łukasiewicz logic) and the intuitionistic logic, respectively. In the paper we introduce and study classes of filters of bou...

In this paper, the eight parameter two-dimensional adaptive lattice filter is used to detect defects in textures corresponding to raw textile fabrics. A novel histogram modification technique is also applied for pre-processing the grey level texture image. Moreover, with the proposed scheme, it is possible to detect defects using the defective image only.

in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

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