This paper presents an algebraic approach to construct M-band orthonormal wavelet bases with perfect reconstruction. We first derive the system of constraint equations of M-band filter banks, and then an algebraic solution based on matrix decomposition is developed. The structure of the solutions is presented, and practical construction procedures are given. By using this algebraic approach, so...

This paper proves exponential asymptotic stability of discrete-time filters for the estimation of solutions to stochastic difference equations, when the observation noise is bounded. No assumption is made on the ergodicity of the signal. The proof uses the Hilbert projective metric, introduced into filter stability analysis by Atar and Zeitouni [1], [2]. It is shown that when the signal noise i...

This paper resumes the development of an integrate tool for designing high-speed, real-time, FIR-filter circuits. The system is composed of programmable IC and an associate software for filter response analysis, synthesis of coefficients, and circuit programming. The architecture is highly regular, easily expandable and its control is distributed. The chip can be programmed by a PC or by using ...

We present an approach for tracking human body parts with prelearned motion models in 3D using multiple cameras. We use an annealed particle filter to track the body parts and a Gaussian Process Dynamical Model in order to reduce the dimensionality of the problem, increase the tracker's stability and learn the motion models. We also present an improvement for the weighting function that helps t...

This paper addresses the problem of freeway traffic flow estimation. The freeway is considered as a network of components representing different freeway stretches called segments. The evolution of the traffic in a segment is modelled as a dynamic stochastic system, influenced by states of neighbour segments. Measurements are received only at boundaries between some segments and averaged within ...

We consider the problem of pointwise estimation of multi-dimensional signals s, from noisy observations (yτ ) on the regular grid Z d. Our focus is on the adaptive estimation in the case when the signal can be well recovered using a (hypothetical) linear filter, which can depend on the unknown signal itself. The basic setting of the problem we address here can be summarized as follows: suppose ...

In Text-to-Speech (TTS) synthesis there are words and expressions that pose problems because some semantic knowledge is required to determine how they should be read out. This work implements a domain filter, a pre-processing module that supports the TTS system by analysing text belonging to a certain semantic domain and rewriting problematic expressions so that they are read out better. The fi...

We consider the problem of recovering of continuous multi-dimensional functions f from the noisy observations over the regular grid m−1Zd, m ∈ N∗. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear filter, which can depend on the unknown function itself. In the companion paper [26] we have shown in the case when there exists an adapted tim...

In this paper, we generalize a formulation for converting a length-2'' discrete cosine transform into n groups of equations, then apply a novel technique for its implementation. The sizes of the groups are2n-i 2n-2 , . . . 2' respectively, while their structures are extremely regular. The realization can then be converted into recursive filter form, which is of particularly simple for practical...

the notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. the extensionproperty for (fuzzy) absorbent orderedfilters is established. conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered ...