The need for a reliable discrimination among voiced, unvoiced and silence frames arises in a wide variety of speech processing applications. In this paper, we propose an unsupervised algorithm for voiced-unvoiced-silence classification based on a time-frequency representation of the measured signal, which is viewed as a data matrix. The proposed algorithm relies on a hierarchical dual geometry ...

This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a con...

This study is to develop a dual-direction measuring instrument of diffuse optical tomography in the continue-wave domain to be incorporated with an X-ray mammography system for the aid of obtaining functional images to detect breast tumors. The device is handled to compress breast-like phantoms by two slabs with sources and detectors which a multiple-channel switching was designed for. Obtained...

This work presents a quantitative framework for describing the overcompleteness of a large class of frames. It introduces notions of localization and approximation between two frames F = {f i } i∈I and E = {e j } j∈G (G a discrete abelian group), relating the decay of the expansion of the elements of F in terms of the elements of E via a map a : I → G. A fundamental set of equalities are shown ...