In this paper, we introduce implicative quasi-semi-lattices as a generalization of semi-lattices. We give the definition and present related properties an quasi-semi-lattice. Moreover, show that there exists isomorphism between lattice filters quasi-semi-lattice filter congruences on

In this paper we connect the design of biorthogonal modulated filter banks with the idea of lifting schemes, which were proposed for the construction of biorthogonal wavelets. Based on this formulation, we derive a lattice-like structure for the polyphase components. As the rotationbased structures for the design and implementation of paraunitary modulated filter banks, our structure automatica...

Adaptive grid type filter is one of the important parts of adaptive filter. The paper improved the adaptive statistical gradient lattice filter algorithm to make this algorithm retain the best gradient algorithm of reflection coefficient convergence and stability and more suitable for saving the resources of the hardware implementation. This paper describes the algorithm. The algorithm is valid...

Figure 1: Performance on a GTX 280 GPU of our adaptivemanifold filter (AM) versus the permutohedral lattice (PL), and the guided filter (GF). The vertical axis shows time, in seconds, to filter a 1 Megapixel RGB color image. The shaded areas represent performance changes when σr varies from 1 (bottom curve) to 0.05 (top curve). The guided filter performance curve, in dashed red, is based on per...

A simple model characterizing the convergence properties of an adaptive digital lattice filter using gradient algorithms has been reported [ 11. This model is extended to the least mean square (LMS) lattice joint process estimator [SI, and to the least squares (LS) lattice and “fast” Kalman algorithms [9] -[16]. The models in each case are compared with computer simulation. The single-stage LMS...

The Tamari lattice of order n can be defined on the set Tn of binary trees endowed with the partial order relation induced by the well-known rotation transformation. In this paper, we restrict our attention to the subset Mn of Motzkin trees. This set appears as a filter of the Tamari lattice. We prove that its diameter is 2n − 5 and that its radius is n − 2. Enumeration results are given for jo...

This paper describes the generalized lattice model of human vocal tract for speech analysis, relating it to the all pole type linear prediction. A more natural synthesized speech can be achieved using Auto Regressive (AR) lattice model. Speech analysis is done using linear prediction. The structure of AR lattice model is numerically stable, which is main requirement in speech analysis and synth...

For high-Reynolds number flows, the lattice Boltzmann method suffers from numerical instabilities that can induce local blowup of the computation. The von Neumann stability analysis applied to the LBE-BGK and LBE-MRT models shows that numerical instabilities occur in the high wavenumber range and are due to the interplay between acoustic modes and some other modes. As it is done in the LBE-MRT ...