251 research outputs found

    The (u,v)-Calkin-Wilf Forest

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    In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf tree. In particular, we study the properties of such trees associated with the matrices Lu=[10u1]L_u=\begin{bmatrix} 1 & 0 \\ u & 1\end{bmatrix} and Rv=[1v01]R_v=\begin{bmatrix} 1 & v \\ 0& 1\end{bmatrix}, where uu and vv are nonnegative integers. We extend several known results of the original Calkin-Wilf tree, including the symmetry, numerator-denominator, and successor formulas, to this new setting. Additionally, we study the ancestry of a rational number appearing in a generalized Calkin-Wilf tree.Comment: 18 page

    Interview with Sir Anand Satyanand: Commonwealth Oral History Project

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    Interview with Sir Anand Satyanand, conducted 12th March 2014 in London as part of the Commonwealth Oral History Project. The project aims to produce a unique digital research resource on the oral history of the Commonwealth since 1965 through sixty oral history interviews with leading figures in the recent history of the organisation. It will provide an essential research tool for anyone investigating the history of the Commonwealth and will serve to promote interest in and understanding of the organisation. Biography: Satyanand, Anand. 1944- . Born in Auckland, New Zealand. Graduated from the University of Auckland, 1970. Lawyer, 1970-1982. Judge in Auckland District Court, 1982-1994. Parliamentary Ombudsman, 1995-2005. 19th Governor-General of New Zealand, 2006-2011. Knight of Justice of the Order of St. John, 2006. Knight Grand Companion in the New Zealand Order of Merit (GNZM), 2009. Chair of the Commonwealth Foundation, 2013-present

    High Level Speaker Specific Features as an Efficiency Enhancing Parameters in Speaker Recognition System

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    In this paper, I present high-level speaker specific feature extraction considering intonation, linguistics rhythm, linguistics stress, prosodic features directly from speech signals. I assume that the rhythm is related to language units such as syllables and appears as changes in measurable parameters such as fundamental frequency (  ), duration, and energy. In this work, the syllable type features are selected as the basic unit for expressing the prosodic features. The approximate segmentation of continuous speech to syllable units is achieved by automatically locating the vowel starting point. The knowledge of high-level speaker’s specific speakers is used as a reference for extracting the prosodic features of the speech signal. High-level speaker-specific features extracted using this method may be useful in applications such as speaker recognition where explicit phoneme/syllable boundaries are not readily available. The efficiency of the particular characteristics of the specific features used for automatic speaker recognition was evaluated on TIMIT and HTIMIT corpora initially sampled in the TIMIT at 16 kHz to 8 kHz. In summary, the experiment, the basic discriminating system, and the HMM system are formed on TIMIT corpus with a set of 48 phonemes. Proposed ASR system shows 1.99%, 2.10%,  2.16%  and  2.19 % of efficiency improvements compared to traditional ASR system for and of 16KHz TIMIT utterances

    Forensic and Automatic Speaker Recognition System

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    Current Automatic Speaker Recognition (ASR) System has emerged as an important medium of confirmation of identity in many businesses, ecommerce applications, forensics and law enforcement as well. Specialists trained in criminological recognition can play out this undertaking far superior by looking at an arrangement of acoustic, prosodic, and semantic attributes which has been referred to as structured listening. An algorithmbased system has been developed in the recognition of forensic speakers by physics scientists and forensic linguists to reduce the probability of a contextual bias or pre-centric understanding of a reference model with the validity of an unknown audio sample and any suspicious individual. Many researchers are continuing to develop automatic algorithms in signal processing and machine learning so that improving performance can effectively introduce the speaker’s identity, where the automatic system performs equally with the human audience. In this paper, I examine the literature about the identification of speakers by machines and humans, emphasizing the key technical speaker pattern emerging for the automatic technology in the last decade. I focus on many aspects of automatic speaker recognition (ASR) systems, including speaker-specific features, speaker models, standard assessment data sets, and performance metric
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