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The purpose of this note is to demonstrate that a weak form of club guessing on ω1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence is that the existen...
FIR filter design via spectral factorization and convex optimization
Finite impulse response filter filter coefficient variables spectral decomposition linear and nonlinear convex programming
2015/8/11
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...
Filter design with low complexity coefficients
Heuristic design low complexity coefficient filters with nonzero number the filter coefficients
2015/8/10
We introduce a heuristic for designing filters that have low complexity coefficients, as measured by the total number of nonzeros digits in the binary or canonic signed digit (CSD) representations of ...
Marginal Likelihood Computation for Hidden Markov Models via Generalized Two-Filter Smoothing
MarginalLikelihood Sequential MonteCarlo Generalized Two-Filter Smoothing
2012/11/21
In this note we introduce an estimate for the marginal likelihood associated to hidden Markov models (HMMs) using sequential Monte Carlo (SMC) approximations of the generalized two-filter smoothing de...
Filters and open filters are useful utilities to explore structures of domains. In this paper, it is proved that for a continuous distributive semilattice L, OFilt(L) is a distributive lattice iff L i...
Stochastic differential equations and application of the Kalman-Bucy filter in the modeling of RC circuit
Stochastic Differential Equation white noise
2010/9/21
The filtering problem have an important role in the theory of stochastic differential equations(SDEs). In this paper, we present an application of the continuous Kalman-Bucy filter for a RC circuit. T...
This document derives the CPHD filter for extended targets. Only the update step is derived here. Target generated measurements, false alarms and prior are all assumed to be independent identically d...
The Filter Dichotomy says that every uniform nonmeager filter on the integers is mapped by a finite-to-one function to an ultrafilter. The consistency of this principle was proved by Blass and Laflamm...
A split-radix DCT base structure for linear phase paraunitary filter banks
discrete cosine transform lapped transform split radix algorithm
2010/9/15
In this study, base on traditional lapped transform’s properties, inherit from some of
the special characteristic properties of discrete cosine transform, trigonometric
identities and the structure ...
Lattice Structure for Paraunitary Linear-Phase Filter Babks with Accuracy
Paraunitary Linear-phase Accuracy
2007/12/12
Multivariate filter banks with a polyphase matrix built by matrix factorization (lattice structure) were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method...
A NEW SQP-FILTER METHOD FORSOLVING NONLINEAR PROGRAMMING PROBLEMS
Nonlinear programming Sequential quadratic programming Filter Restoration phase Maratos affects Global convergence Multi-objective optimization Quadratic programming subproblem
2007/12/12
In $\cite{Fletcher2002}$, Fletcher and Leyffer
present a new method that solves nonlinear programming problems without a
penalty function by SQP-Filter algorithm. It has attracted much attention
...
T2-OBJECTS IN CATEGORIES OF FILTER AND LOCAL FILTER CONVERGENCE SPACES
T2-OBJECTS FILTER LOCAL FILTER CONVERGENCE SPACES
2010/3/17
There are various generalizations of the usual T2 (Hausdorff) axiom of topology to an arbitrary topological category defined in [1]. In this paper, four more new generalizations of Hausdorff spaces ar...