• Title/Summary/Keyword: Burg's algorithm

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On the Computational Efficiency and Stableness of Burg's Algorithm for Maximum Entropy Spectral Analysis (최대엔트로피 스펙트럼 분석에 관한 Burg알고리즘의 계산효율과 안정성에 대하여)

  • Kim, Hee Joon
    • Economic and Environmental Geology
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    • v.17 no.4
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    • pp.237-243
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    • 1984
  • Burg's algorithm for maximum entropy spectral analysis is studied with respect to its computational efficiency and stableness. The Burg's method is not only less efficient than the Yule-Walker's method but also sometimes unstable due to its mathematical irrationality. This irrationality is demonstrated by analyzing an artificial time series, and more stable and effective method is proposed. An efficient procedure using Goertzel's algorithm to compute power spectral densities is also proposed.

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Operational modal analysis of reinforced concrete bridges using autoregressive model

  • Park, Kyeongtaek;Kim, Sehwan;Torbol, Marco
    • Smart Structures and Systems
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    • v.17 no.6
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    • pp.1017-1030
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    • 2016
  • This study focuses on the system identification of reinforced concrete bridges using vector autoregressive model (VAR). First, the time series output response from a bridge establishes the autoregressive (AR) models. AR models are one of the most accurate methods for stationary time series. Burg's algorithm estimates the autoregressive coefficients (ARCs) at p-lag by reducing the sum of the forward and the backward errors. The computed ARCs are assembled in the state system matrix and the eigen-system realization algorithm (ERA) computes: the eigenvector matrix that contains the vectors of the mode shapes, and the eigenvalue matrix that contains the associated natural frequencies. By taking advantage of the characteristic of the AR model with ERA (ARMERA), civil engineering can address problems related to damage detection. Operational modal analysis using ARMERA is applied to three experiments. One experiment is coupled with an artificial neural network algorithm and it can detect damage locations and extension. The neural network uses a specific number of ARCs as input and multiple submatrix scaling factors of the structural stiffness matrix as output to represent the damage.

A Study on the Performance of a Radar Clutter Suppression Algorithm Based on the Adaptive Clutter Prewhitening Filter and Droppler Filter Bank (Adaptive Clutter Prewhitening Filter와 Doppler Filter Bank를 이용한 레이다 Clutter 제거 알고리듬의 성능에 관한 연구)

  • Kim, Yong-Ho;Lee, Hwang-Soo;Un, Chong-Kwan;Lee, Won-Kil
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.140-146
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    • 1989
  • In many situations, radar targets are embedded in a clutter environment and clutter rejection is required. The clutter is unwanted radar echoes and may arise owing to reflections from ground and weather disturbances and statistical properties of the clutter vary with range and azimuth as well as time. That is, adaptive signal processing is required. In this paper, a clutter suppression algorithm based on the clutter whitening filter (WF) and doppler filter bank(DFB) is described which provides improved performance compared with conventional nonadaptive clutter suppression algorithm that is the cascaded moving target indicator (MTI) and (DFB). The clutter whitening filter algorithm is based on the Burg's maximum entropy method.

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EMD based Cardiac Arrhythmia Classification using Multi-class SVM (다중 클래스 SVM을 이용한 EMD 기반의 부정맥 신호 분류)

  • Lee, Geum-Boon;Cho, Beom-Joon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.1
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    • pp.16-22
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    • 2010
  • Electrocardiogram(ECG) analysis and arrhythmia recognition are critical for diagnosis and treatment of ill patients. Cardiac arrhythmia is a condition in which heart beat may be irregular and presents a serious threat to the patient recovering from ventricular tachycardia (VT) and ventricular fibrillation (VF). Other arrhythmias like atrial premature contraction (APC), Premature ventricular contraction (PVC) and superventricular tachycardia (SVT) are important in diagnosing the heart diseases. This paper presented new method to classify various arrhythmias contrary to other techniques which are limited to only two or three arrhythmias. ECG is decomposed into Intrinsic Mode Functions (IMFs) by Empirical Mode Decomposition (EMD). Burg algorithm was performed on IMFs to obtain AR coefficients which can reduce the dimension of feature vector and utilized as Multi-class SVM inputs which is basically extended from binary SVM. We chose optimal parameters for SVM classifier, applied to arrhythmias classification and achieved the accuracies of detecting NSR, APC, PVC, SVT, VT and VP were 96.8% to 99.5%. The results showed that EMD was useful for the preprocessing and feature extraction and multi-class SVM for classification of cardiac arrhythmias, with high usefulness.

The implementation of children's automated formant setting by Praat scripting (Praat을 이용한 아동 포먼트 자동 세팅 스크립트 구현)

  • Park, Jiyeon;Seong, Cheoljae
    • Phonetics and Speech Sciences
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    • v.10 no.4
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    • pp.1-10
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    • 2018
  • This study introduces an automated Praat script allowing optimal formant analysis for children's vowels. Using Burg's algorithm in Praat, formants can be extracted by setting the maximum formant value and the number of formants. The optimal formant setting was determined by identifying the two conditions, F1 and F2, with minimum standard deviations. When applying the optimal formant setting determined by the script, the results of normality tests were not significant among all vowels except /e/ for the maximum formant value, and among the vowels /a/, /e/, /i/, /o/, /u/ and /ʌ/ for the number of formants. This indicates that when analyzing the formants of children's vowel sounds, the unilateral application of a parameter setting (the maximum formant value and the number of formants) to all vowels is problematic. The performance of the optimal formant setting script was evaluated along with 3 different algorithm in order to determine whether it properly extracts formants for children's vowels. To this end, Korean monophghongs of 6-year-old children were collected and the Praat scripts were applied to the data. Resultant Formant plots and statistical analysis showed that optimum_script and qtone_script, which links to the perceptual unit, performed very well in formant extraction compared to the remaining 2 scripts.

Chatter Mode and Stability Boundary Analysis in Turning (선반가공시 채터 모드 및 안정영역 분석)

  • Oh Sang-Lok;Chin Do-Hun;Yoon Moon-Chul;Ryoo In-Il;Ha Man-Kyun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.5
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    • pp.7-12
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    • 2005
  • This paper presents several time series methods to analyze the chatter mechanics by using the power spectrum of these algorithms considering the cutting dynamics. In this study, several time series models such as AR(burg, forwardbackward, geometric lattice, instrument variable, least square, Yule Walker), ARX(1s, iv4), ARMAX, ARMA, Box Jenkins, Output Error were modeled and compared with one another. Finally, it was proven that time series modelings are also a desirable and reliable algorithm than the other conventional methods(FFT) for the calculation of the chatter mode in turning operation. Also, the spectrum of times series methods is a little bit more powerful than the FFT fer the detection of a high noisy and weak chatter mode. The radial cutting force Fy has been used for spectrum and chatter stability lobe analysis in this study.