A multiplicative Schwarz overlapping domain decomposition method is considered for solving elliptic boundary value problems. By equipping the relevant Sobolev spaces on the subdomains with wavelet bases, adaptive wavelet methods are used for approximately solving the subdomain problems. The union of the wavelet bases forms a frame for the Sobolev space on the domain as a whole. The resulting me...

A multiplicative Schwarz overlapping domain decomposition method is considered for solving elliptic boundary value problems. By equipping the relevant Sobolev spaces on the subdomains with wavelet bases, adaptive wavelet methods are used for approximately solving the subdomain problems. The union of the wavelet bases forms a frame for the Sobolev space on the domain as a whole. The resulting me...

A complex frame is a collection of vectors that span C and define measurements, called intensity measurements, on vectors in C . In purely mathematical terms, the problem of phase retrieval is to recover a complex vector from its intensity measurements, namely the modulus of its inner product with these frame vectors. We show that any vector is uniquely determined (up to a global phase factor) ...

We propose a pitch estimation method based on long frame harmonic model (LFHM) and short frame average correlation coefficient (SFACC). The long frame used here is three times as long as the short frame. Our approach consists of two main steps: pitch candidates extraction based on LFHM, and final pitch selection based on the SFACC. The long frame analysis for speech signal is able to achieve a ...

<span>In this paper, <span>a voltage source inverter is utilized as a distributed static compensator (DSTATCOM). The DSTATCOM used for the elimination of harmonics caused by nonlinear load. reference currents were estimated with synchronous frame (SRF). Conventionally, SRF uses voltage, load current and filter to compute track desired DSTATCOM. sliding mode controller feedback linea...

objectives: the purpose of this research was to explore the possible differences in the working memory of monolingual (persian) and bilingual  (persian-baluchi) children. we wanted to examine if there is a statistically significant relationship between working memory and bilingualism. methods: four working memory (wm) tests, assessing three wm components, were administered to 140 second grade s...

An online video segmentation algorithm, based on short-term hierarchical segmentation (STHS) and frame-by-frame Markov random field (MRF) optimization, is proposed in this work. We develop the STHS technique, which generates initial segments by sliding a short window of frames. In STHS, we apply spatial agglomerative clustering to each frame, and then adopt inter-frame bipartite graph matching ...

For Gabor sets, (g; a, b), it is known that (g; a, b) is a frame if and only if (g; 1/b, 1/a) is a Riesz basis for its span. In particular, for every g there is a0 such that for every a < a0, there is a bm = bm(a) > 0 so that for every b < bm, (g; a, b) is a frame, and (g; 1/b, 1/a) is a Riesz basis sequence. In this talk we shall consider a similar problem for wavelet sets (Ψ; a, b). The main ...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

This paper presents objective-to-subjective correlation results for a reduced-reference, in-service, video quality monitoring system. This reduced-reference system utilizes quality parameters that are computed by comparing features extracted from spatial-temporal (S-T) regions of the input video stream with identical features extracted from the output video stream. The amount of reducedreferenc...