• Title/Summary/Keyword: real root

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A Study on the Frequency Scaling Methods Using LSP Parameters Distribution Characteristics (LSP 파라미터 분포특성을 이용한 주파수대역 조절법에 관한 연구)

  • 민소연;배명진
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.3
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    • pp.304-309
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    • 2002
  • We propose the computation reduction method of real root method that is mainly used in the CELP (Code Excited Linear Prediction) vocoder. The real root method is that if polynomial equations have the real roots, we are able to find those and transform them into LSP. However, this method takes much time to compute, because the root searching is processed sequentially in frequency region. In this paper, to reduce the computation time of real root, we compare the real root method with two methods. In first method, we use the mal scale of searching frequency region that is linear below 1 kHz and logarithmic above. In second method, The searching frequency region and searching interval are ordered by each coefficient's distribution. In order to compare real root method with proposed methods, we measured the following two. First, we compared the position of transformed LSP (Line Spectrum Pairs) parameters in the proposed methods with these of real root method. Second, we measured how long computation time is reduced. The experimental results of both methods that the searching time was reduced by about 47% in average without the change of LSP parameters.

A High-Speed LSF Transformation Algorithm for CELP Vocoders

  • Min, So-Yeon;Bae, Myung-Jin
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.1E
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    • pp.20-24
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    • 2001
  • We propose the computation reduction method of real root method that is mainly used in the CELP(Code Excited Linear Prediction) vocoder. The real root method is that if polynomial equations have the real roots, we are able to find those and transform them into LSF[1]. However, this method takes much time to compute, because the root searching is processed sequentially in frequency region. But, the important characteristic of LSF is that most of coefficients are occurred in specific frequency region. So, the searching frequency region is ordered by each coefficient's distribution. And coefficients are searched in ordered frequency region. Transformation time can be reduced by this method than the sequential searching method in frequency region. When we compare this proposed method with the conventional real root method, the experimental result is that the searching time was reduced about 46% in average.

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REFLECTION OF ROOT LATTICES FOR GENERALIZED KAC-MOODY ALGEBRAS

  • Kim, Wan-Soon;Park, Jun-Seok
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.373-381
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    • 2010
  • In this paper we determine all elements in the root lattice of symmetrizable generalized Kac-Moody algebras whose reflections preserve the root systems. Also we discuss elements in the root lattices whose reflection preserve the root lattices.

A Study on the Reduction of LSP(Line Spectrum Pair) Transformation Time in Speech Coder for CDMA Digital Cellular System (이동통신용 음성부호화기에서의 LSP 계산시간 감소에 관한 연구)

  • Min, So-Yeon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.3
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    • pp.563-568
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    • 2007
  • We propose the computation reduction method of real root method that is used in the EVRC(Enhanced Variable Rate Codec) system. The real root method is that if polynomial equations have the real roots, we are able to find those and transform them into LSP. However, this method takes much time to compute, because the root searching is processed sequentially in frequency region. But, the important characteristic of LSP is that most of coefficients are occurred in specific frequency region. So, to reduce the computation time of real root, we used the met scale that is linear below 1kHz and logarithmic above. In order to compare real root method with proposed method, we measured the following two. First, we compared the position of transformed LSP(Line Spectrum Pairs) parameters in the proposed method with these of real root method. Second, we measured how long computation time is reduced. The experimental result is that the searching time was reduced by about 48% in average without the change of LSP parameters.

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The Reduction Algorithm of Complexity using Adjustment of Resolution and Search Sequence for Vocoder (해상도 조절과 검색순서 조절을 통한 음성부호화기용 복잡도 감소 알고리즘)

  • Min, So-Yeon;Lee, Kwang-Hyoung;Bae, Myung-Jin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.5
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    • pp.1122-1127
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    • 2007
  • We propose the complexity reduction algorithm of real root method that is mainly used in the Vocoder. The real root method is that if polynomial equations have the real roots, we are able to find those and transform them into LSP(Line Spectrum Pairs). However, this method takes much time to compute, because the root searching is processed sequentially in frequency region. The important characteristic of LSP is that most of coefficients are occurred in specific frequency region. So, the searching frequency region is ordered and adjusted by each coefficient's distribution in this paper. Transformation time can be reduced by proposed algorithm than the sequential searching method in frequency region. When we compare this proposed method with the conventional real root method, the experimental result is that the searching time was reduced about 48% in average.

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REAL ROOT ISOLATION OF ZERO-DIMENSIONAL PIECEWISE ALGEBRAIC VARIETY

  • Wu, Jin-Ming;Zhang, Xiao-Lei
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.135-143
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    • 2011
  • As a zero set of some multivariate splines, the piecewise algebraic variety is a kind of generalization of the classical algebraic variety. This paper presents an algorithm for isolating real roots of the zero-dimensional piecewise algebraic variety which is based on interval evaluation and the interval zeros of univariate interval polynomials in Bernstein form. An example is provided to show the proposed algorithm is effective.

Real-time TVOC Monitoring System and Measurement Analysis in Workplaces of Root Industry (뿌리산업 작업장내 총휘발성유기화합물류(TVOC) 실시간 노출감시체계 구축과 농도 분석)

  • Jong-Hyeok, Park;Beom-Su, Kim;Ji-Wook, Kang;Soo-Hee, Han;Kyung-Jun, Kim
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.32 no.4
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    • pp.425-434
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    • 2022
  • Objectives: This study analyzes TVOC concentrations in root industry workplaces in order to prevent probable occupational disease among workers. Root industry includes all the infrastructure of manufacturing, such as casting and molding. Methods: Real-time TVOC sensors were deployed in three root industry workplaces. We measured TVOC concentrations with these sensors and analyzed the results using a data-analysis tool developed with Python 3.9. Results: During the study period, the mean of the TVOC concentrations remained in an acceptable range, 0.30, 2.15, and 1.63 ppm across three workplaces. However, TVOC concentrations increased significantly at specific times, with respective maximum values of 4.98, 28.35, and 26.65 ppm for the three workplaces. Moreover, the analysis of hourly TVOC concentrations showed that during working hours or night shifts TVOC concentrations increased significantly to higher than twice the daily mean values. These results were scrutinized through classical decomposition results and autocorrelation indices, where seasonal graphs of the corresponding classical decomposition results showed that TVOC concentrations increased at a specific time. Trend graphs showed that TVOC concentrations vary by day. Conclusions: Deploying a real-time TVOC sensor should be considered to reflect irregularly high TVOC concentrations in workplaces in the root industry. It is expected that the real-time TVOC sensor with the presented data analysis methodology can eradicate probable occupational diseases caused by detrimental gases.

Regional House Prices and the Ripple Effect in the Yangtze River Delta Region

  • Chang, Tengyuan;Deng, Xiaopeng;Tan, Yuting;Zhou, Qianwen
    • International conference on construction engineering and project management
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    • 2017.10a
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    • pp.62-72
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    • 2017
  • In this study, liner unit root tests and panel unit root tests to the ratio of city to regional house price were applied to examine the ripple effects across 28 cities in the Yangtze River Delta region. Then invert LM unit root tests with two structural breaks for 10 representative cities were conducted. The results showed that there is overwhelming evidence of the existence of ripple effect in the Yangtze River Delta region, while segmentation is restricted to a small group of cities in which there is no long-run relationship with the Yangtze River Delta region average; compared to no- and one-break case, there is overwhelming evidence of a ripple effect with the LM test with two structural breaks. Furthermore, the results of the Granger causality test showed that changes in house prices in Shanghai, Nanjing and Hangzhou have led to changes in house prices in other cities. The findings of this research make certain contributions to the improvements of research system of ripple effect among regional house prices in the Yangtze River Delta Region,and could be referenced by other markets of other cities.

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An Improved LSP Transformation Algorithm Using the LSP and Formant Distribution in a Speech Signal (LSP와 포만트 분포특성을 이용한 음성신호의 LSP 변환 알고리즘의 성능개선)

  • LEE HeeWon;NA Ducksu;KIM ManKi;BAE MyungJin
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.29-32
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    • 1999
  • LSP 파라미터는 일정한 스펙트럼 민감도와 낮은 스펙트럼 왜곡을 보이고 선형보간이 용이하여 주로 저전송률 음성부호화기에 사용된다. 그러나 LPC 계수를 LSP로 변환하는 방법이 복잡하여 계산시간이 많이 소요된다는 단점이 있다. 본 논문에서는 LSP 변환 방법 중 음성 부호화기에서 주로 사용하는 real root 방법의 계산 시간 단축방법을 제안한다. real root 방법은 다항식의 근을 구하여 LSP로 변환하는 방법이다. 그러나 이 방법은 관을 구하기 위해 주파수 영역을 순차적으로 검색하기 때문에 계산시간이 많이 소요된다. 제안하는 알고리즘은 LSP 파라미터의 분포도에 따라 검색구간의 순서를 주파수 별로 달리 한다. 그리고 제 1포만트와 제 2포만트의 연관성을 고려하여 검색구간을 조절한다. 기존의 real root방법과 제안한 방법을 비교한 결과 평균 $48\%$ 이상의 검색시간이 단축되었다.

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A Study on the Fitting of LSP(Line Spectrum Pairs) Parameter using Frequency Scaling (Frequency Scaling을 통한 LSP 파라미터 Fitting에 관한 연구)

  • 민소연;배명진
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.801-804
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    • 2001
  • LSP 파라미터는 음성코덱(codec)이나 인식기에서 음성 신호를 분석하여 전송형이나 저장형 파라미터로 변환되어, 주로 저전송률 음성부호화기에 사용된다. 그러나 LPC 계수를 LSP로 변환하는 방법이 복잡하여 계산시간이 많이 소요된다는 단점이 있다[1]. 기존의 LSP 변환 방법 중 음성 부호화기에서 주로 사용하는 real root 방법은 근을 구하기 위해 주파수 영역을 순차적으로 검색하기 때문에 계산시간이 많이 소요되는 단점을 갖는다. 본 논문에서 비교 평가한 알고리즘은 첫 번째, 기존의 real root 알고리즘, 두 번째는, LSP 파라미터의 분포 특성을 조사하여 이를 토대로 검객구간의 순서와 검색간격을 달리한 경우, 세 번째는 검색 시 mel scale을 사용한 알고리즘이다. 실험결과, 기존의 real root 방식에 비하여 두 가지 방식 모두가 변환시간의 40% 이상이 감소되는데 반하여 통일한 관을 찾음을 알 수가 있었고, 특히 분포특성을 이용하여 검색순서와 간격조절을 한 경우에 있어서, 기존의 방식보다 40%이상이 감소되었다.

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