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30 articles for “linear algebra”
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Research ArticleOpen accessEvery word in the titleThai Speech Coding Based On Conjugate-Structure Algebraic Code Excited Linear Prediction AlgorithmSuphattharachai ChomphanProblem statement: In mobile communication, speech coding aims at compressing the speech with lowest bitrate and highest quality for standard languages such as English, German and French. As for other languages with different uttering styles, the encoded speech quality is not guaranteed at the same bitrate. The appropriate evaluation should be performed to develop the speech quality by applying some … …Journal of Computer Science, Vol. 7, Issue 1 · 14 Jan 2011 · 7,352 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSpeech Compression of Thai Dialects with Low-Bit-Rate Speech CodersSuphattharachai ChomphanProblem statement: In modern speech communication at low bit rate, speech coding deteriorates the characteristics of the coded speech significantly. Considering the dialects in Thai, the coding quality of four main dialects spoken by Thai people residing in four core region including central, north, northeast and south regions has not been studied. Approach: This study presents a comparative study of … …American Journal of Applied Sciences, Vol. 9, Issue 8 · 14 Jul 2012 · 6,865 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSpeech Compression for Noise-Corrupted Thai DialectsSuphattharachai ChomphanProblem statement: Dialects of Thai are quite different in the speaking styles. Environmental noises play an important role in corrupting the communication speech quality. Two factors affect the coded speech in the present speech communication. It is necessary to investigate how the two factors influence on the speech compression. Approach: In this study, the Multi-Pulse based Code Excited Linear Predictive … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 9 Jan 2012 · 7,238 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumber of Non-Unique Minors (of Various Orders) and Elements in the Calculation of General DeterminantsPatrick Marchisella, Gurudeo Anand TularamProblem statement: Many distinct properties of determinants have been studied and are known, yet a considerable number of properties still need further examination. This study investigates the number of minors (of various orders) and elements of a matrix A contained in the expansion of the general determinant of A, irrespective of the independence, principality and distinctness of such minors and … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 13 Oct 2012 · 7,432 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTonal Language Speech Compression Based on a Bitrate Scalable Multi-Pulse Based Code Excited Linear Prediction CoderSuphattharachai ChomphanProblem statement: Speech compression is an important issue in the modern digital speech communication. The functionality of bitrates scalability also plays significant role, since the capacity of communication system varies all the time. When considering tonal speech, such as Thai, tone plays important role on the naturalness and the intelligibility of the speech, it must be treated appropriately. Therefore these … …Journal of Computer Science, Vol. 7, Issue 2 · 25 Feb 2011 · 6,810 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThai Expressive Speech Processing Technology: A ReviewSuphattharachai ChomphanProblem statement: The studies on Thai expressive speech or emotional speech have been conducted for years. Most of them are expected to analysis the characteristics of Thai expressive speech. However, the conclusive reviews on these studies have not been conducted for further study on the speech technology or application of Thai expressive speech. Approach: The review of research on Thai … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 12 Jan 2012 · 6,733 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Bessel’s Correction: Unbiased Sample Variance, the Bariance, and a Novel Runtime-Optimized EstimatorFelix ReichelBessel’s correction adjusts the denominator in the sample variance formula from n to n – 1 to ensure an unbiased estimator of the population variance. This paper provides rigorous algebraic derivations to reinforce the necessity of this correction. It further introduces the concept of Bariance, an alternative dispersion measure based on average pairwise squared differences that avoids reliance on the … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 29 Jan 2026 · 2,994 accessesView PDFCite
Review ArticleOpen accessIn the abstractExplaining the Generalized Cross-Validation on Linear ModelsLucas Monteiro Chaves, Laerte Dias de Carvalho, Carlos José dos Reis, Devanil Jaques de SouzaCross-Validation is a model validation method widely used by the scientific community. The Generalized Cross-Validation (GCV) is an invariant version of the usual Cross-Validation method. This generalization was obtained using the non usual theory of circulant complex matrices. In this work we intend to give a clear and complete exposition concerning the linear algebra assumptions required by the theory. The … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 25 Oct 2019 · 10,450 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Gröbner Bases and Their Uses in Solving System of Polynomial Equations and Graph ColoringHaridas Kumar Das, Nasim RezaThis paper is based on the analytic and computational solution procedures of Gröbner basis and its applications. We show the behavior of the ideals generated by polynomials from a polynomial ring. We also present the idea of a zero dimensional ideal and use of this ideal to solve system of polynomial equations. We then introduce an algorithmic procedure for solving … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 27 Jun 2018 · 8,591 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDFCite