• Title/Summary/Keyword: Gramian

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Analyzing performance of time series classification using STFT and time series imaging algorithms

  • Sung-Kyu Hong;Sang-Chul Kim
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.4
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    • pp.1-11
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    • 2023
  • In this paper, instead of using recurrent neural network, we compare a classification performance of time series imaging algorithms using convolution neural network. There are traditional algorithms that imaging time series data (e.g. GAF(Gramian Angular Field), MTF(Markov Transition Field), RP(Recurrence Plot)) in TSC(Time Series Classification) community. Furthermore, we compare STFT(Short Time Fourier Transform) algorithm that can acquire spectrogram that visualize feature of voice data. We experiment CNN's performance by adjusting hyper parameters of imaging algorithms. When evaluate with GunPoint dataset in UCR archive, STFT(Short-Time Fourier transform) has higher accuracy than other algorithms. GAF has 98~99% accuracy either, but there is a disadvantage that size of image is massive.

Sleep apnea detection from a single-lead ECG signal with GAF transform feature-extraction through deep learning (GAF 변환을 사용한 딥 러닝 기반 단일 리드 ECG 신호에서의 수면 무호흡 감지)

  • Zhou, Yu;Lee, Seungeun;Kang, Kyungtae
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.07a
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    • pp.57-58
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    • 2022
  • Sleep apnea (SA) is a common chronic sleep disorder that disrupts breathing during sleep. Clinically, the standard for diagnosing SA involves nocturnal polysomnography (PSG). However, this requires expert human intervention and considerable time, which limits the availability of SA diagnoses in public health sectors. Therefore, ECG-based methods for SA detection have been proposed to automate the PSG procedure and reduce its discomfort. We propose a preprocessing method to convert the one-dimensional time series of ECG into two-dimensional images using the Gramian Angular Field (GAF) algorithm, extract temporal features, and use a two-dimensional convolutional neural network for classification. The results of this study demonstrated that the proposed method can perform SA detection with specificity, sensitivity, accuracy, and area under the curve (AUC) of 88.89%, 81.50%, 86.11%, and 0.85, respectively. Our experimental results show that SA is successfully classified by extracting preprocessing transforms with temporal features.

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Efficient One-dimensional Current Configuration and Encoding Method for ITSC Diagnosis of 3-Phase Induction Motor using CNN (CNN을 이용한 3상 유도전동기 ITSC 진단의 효율적인 1차원 전류 신호 구성 및 Encoding방법)

  • Yeong-Jin Goh
    • Journal of IKEEE
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    • v.28 no.2
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    • pp.180-186
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    • 2024
  • This paper proposes an efficient fault diagnosis method for ITSC(Inter-Turn Short Circuit) in three-phase induction motors using CNN. By utilizing only the D-axis component of the D-Q synchronous coordinate system, it compares SWM(Slide Window Method) and GAF(Gramian Angular Field) methods for image encoding. Results show GAF achieving ~74% accuracy, while SWM achieves ~65%, indicating GAF's superiority by 9%. Learning time (~14.74s) remains consistent, particularly with epochs ≤ 100, showcasing faster learning.

Hankel approximation of commensurate input delay systems (복수 입력 시간지연 시스템의 한켈 근사화)

  • 황이철;태전쾌인
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1452-1455
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    • 1997
  • This paper studies the problem of approximating commensurate input delay sustems by finite dimensional systems based on the Hankel singular values. I is shown that the Gankel singular values are solutions a trancendental equation and the Hankel singular vectors are obtained form the kernel of the matrix. The computaioin is carried out in state spae framework. Once singular values and vectors are calcualted, finite dimensional approximated systems are constructed using stadnard linear system computational tools. An example is included.

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Model order reduction with pass band error reduction in frequency domain (주파수 영역에서 통과대역 오차 감소를 갖는 모델 저차수화)

  • 김정화;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1219-1219
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    • 1991
  • This paper proposes the model order reduction with pass band error reduction in the frequency domain of discrete time linear systems. The algorithm is the new method of reduced order model which reduces passband error by changing controllability and observability gramian used with weighted functions. A numerical example shows that this algorithm has lower passband error than balanced w&l and weighted function characteristics in frequency domain.

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A Studyon the Equivalent Model Transformation of the Discrete Linear Systems (이산 선형 시스템의 등가 모델 변환에 관한 연구)

  • 임승우;김정화;정찬수
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1991.10a
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    • pp.215-219
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    • 1991
  • This paper is equivalent model transform which reduces the restriction of digitalization in the discrete linear system. This algorithm is the method that weight is given to contribillity and obserbility gramian, the regular matrix T of coordinate transform is obtained and then the state space coefficents of weighted model can be obtained. This study shows the frequency reponse of low quantization error according to the order of weighting function. The result shows that frequency response of the proposed algorithm is better than that of the balanced realization in the system of smaller bit.

A Study on the Evaluation of Classification Performance by Capacity of Explosive Components using Convolution Neural Network (CNN) (컨볼루션 신경망(CNN)을 이용한 폭발물 성분 용량별 분류 성능 평가에 관한 연구)

  • Lee, Chang-Hyeon;Cho, Sung-Yoon;Kwon, Ki-Won;Im, Tae-Ho
    • Journal of Internet Computing and Services
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    • v.23 no.4
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    • pp.11-19
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    • 2022
  • This paper is a study to evaluate the performance when classifying explosive components by capacity using a convolutional neural network (CNN). Among the existing explosive classification methods, the IMS steam detector method determines the presence or absence of an explosive only when the explosive concentration exceeds the threshold set by the user. The IMS steam detector has a problem of determining that even if an explosive exists, the explosive does not exist in an amount that does not exceed the threshold. Therefore, it is necessary to detect the explosive component even when the concentration of the explosive component does not exceed the threshold. Accordingly, in this paper, after imaging explosive time series data with the Gramian Angular Field (GAF) algorithm, it is possible to determine whether there are explosive components and the amount of explosive components even when the concentration of explosive components does not exceed a threshold.

The parameter optimization of aircraft's control law from the viewpoint of some airworthiness requirements (감항성을 고려한 항공기 제어법칙의 파라미터 최적화)

  • ;Tunik, Anatol A.
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1651-1654
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    • 1997
  • Restiction of vertical and lateral accelerations is one of the very important requierments which has to be satisfied on the practice of automatically controlled flights of the civil aviation passenger planes. This goal could be achived on the basis of the optimization procedure using specilly constructed quadratic performance index. In the report the application of this procedure to the parameteric optimization of the control laws with known structure for autopilot of midium-size aircraft in the level flight model is demonstrated. Performance index is calculted on the basis of the controllability grammian. Results of simulation of control processes in the lateral and longitudinal channels sre represented.

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A Balanced Model Reduction for Linear Parameter Varying Systems (시변 파라메터를 갖는 선형시스템의 균형화된 모델 간략화)

  • Yoo, Seog-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.5
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    • pp.351-356
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    • 2002
  • This papaer deals with a model reduction problem for linear systems with time varying parameters. For this problem, a controllability Grammian and an observability Grammian are introduced and computed by solving linear matrix inequalities. Using the controllability/observability Grammian, a balanced state space realization for linear parameter varying systems is obtained. From the balanced state space realization, a reduced model can be obtained by truncating not only states but also time varying parameters and an upper bound of the model reduction error is derived as well.

Rational Approximation of Multiple Input Delay Systems Using the Hankel Singular Values Vectors (한켈특이치와 특이벡터를 이용한 복수 입력 시간지연 시스템의 유리근사화)

  • 황이철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.299-304
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    • 1996
  • This paper studies the rational approximation of multiple input delay systems using the Hankel singular values and vectors, which are the soultion of a transcendental equation. Rational approximatants are obtained from output normal realizations which are constructed by the Hankel singular values and vectors. Consequently, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pade approximants.

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