• Title/Summary/Keyword: 1D transform

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CONDITIONAL INTEGRAL TRANSFORMS AND CONVOLUTIONS OF BOUNDED FUNCTIONS ON AN ANALOGUE OF WIENER SPACE

  • Cho, Dong Hyun
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.2
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    • pp.323-342
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    • 2013
  • Let $C[0,t]$ denote the function space of all real-valued continuous paths on $[0,t]$. Define $Xn:C[0,t]{\rightarrow}\mathbb{R}^{n+1}$ and $X_{n+1}:C[0,t]{\rightarrow}\mathbb{R}^{n+2}$ by $X_n(x)=(x(t_0),x(t_1),{\cdots},x(t_n))$ and $X_{n+1}(x)=(x(t_0),x(t_1),{\cdots},x(t_n),x(t_{n+1}))$, where $0=t_0$ < $t_1$ < ${\cdots}$ < $t_n$ < $t_{n+1}=t$. In the present paper, using simple formulas for the conditional expectations with the conditioning functions $X_n$ and $X_{n+1}$, we evaluate the $L_p(1{\leq}p{\leq}{\infty})$-analytic conditional Fourier-Feynman transforms and the conditional convolution products of the functions which have the form $${\int}_{L_2[0,t]}{{\exp}\{i(v,x)\}d{\sigma}(v)}{{\int}_{\mathbb{R}^r}}\;{\exp}\{i{\sum_{j=1}^{r}z_j(v_j,x)\}dp(z_1,{\cdots},z_r)$$ for $x{\in}C[0,t]$, where $\{v_1,{\cdots},v_r\}$ is an orthonormal subset of $L_2[0,t]$ and ${\sigma}$ and ${\rho}$ are the complex Borel measures of bounded variations on $L_2[0,t]$ and $\mathbb{R}^r$, respectively. We then investigate the inverse transforms of the function with their relationships and finally prove that the analytic conditional Fourier-Feynman transforms of the conditional convolution products for the functions, can be expressed in terms of the products of the conditional Fourier-Feynman transforms of each function.

Design of FMCW Radar Signal Processor for Human and Objects Classification Based on Respiration Measurement (호흡 기반 사람과 사물 구분 가능한 FMCW 레이다 신호처리 프로세서의 설계)

  • Lee, Yungu;Yun, Hyeongseok;Kim, Suyeon;Heo, Seongwook;Jung, Yunho
    • Journal of Advanced Navigation Technology
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    • v.25 no.4
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    • pp.305-312
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    • 2021
  • Even though various types of sensors are being used for security applications, radar sensors are being suggested as an alternative due to the privacy issues. Among those radar sensors, PD radar has high-complexity receiver, but, FMCW radar requires fewer resources. However, FMCW has disadvantage from the use of 2D-FFT which increases the complexity, and it is difficult to distinguish people from objects those are stationary. In this paper, we present the design and the implementation results of the radar signal processor (RSP) that can distinguish between people and object by respiration measurement using phase estimation without 2D-FFT. The proposed RSP is designed with Verilog-HDL and is implemented on FPGA device. It was confirmed that the proposed RSP includes 6,425 LUT, 4,243 register, and 12,288 memory bits with 92.1% accuracy for target's breathing status.

전략적 상호작용에 의한 이노베이션 - 상호진화적 이노베이션의 이론적 체계 -

  • 류태수
    • Journal of Korea Technology Innovation Society
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    • v.1 no.3
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    • pp.285-298
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    • 1998
  • Innovation with strategic interaction is to overcome the technological uncertainty and to create co-evolution through competition among individuals or organizations for the acceleration of innovation. The concept of innovation in the past was concentrated on cooperation rather than on competition for the efficient management of limited resources. However, in order to minimize the technological uncertainty, we need an innovation on the basis of competition between organizations. Competition stimulates technological adaptability. It is on the analogy of complex system. This is to satisfy consumers' needs, to transform the resources into a technology, and to apply for the development of new products and new technologies. If the emergence of a new technology threatens present technology and develops into a new level of technology through inter-relation, it becomes a mutually supporting technologies. When theses effects are simultaneously realized, it is possible for firm to have strategical innovation and to create a mutually evolutionary development. Furthermore, when the competition among more than two individuals or two organizations continues towards the same direction, the mutual competition and cooperation can be expected to create a synergy effect. The competitive environment should be composed of R&D, production, and consumers' choice. This will lead to interaction among organizations through strategic competition and cooperation. Intra-firm competition and Inter-firm competition are required to exist together.

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Application of Instantaneous Frequency Analysis(I) -Algorithm Performance and Noise Effects- (순간주파수 분석기법의 응용 (1) -알고리즘간의 성능비교 및 잡음영향-)

  • 김정태;임병덕
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.1050-1056
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    • 1994
  • When a vibration data for a rotating machine such as a pump or a compressor is concerned, the frequency fluctuation of the energy contents at an instant time may provide useful information on understanding the vibration characteristics of the rotating machinery, rather than the averaged energy distribution along the frequency axis. Especially, when a periodic signal has different spectral contents, the approach to use the averaged frequency distribution, called the normal frequency analysis, may not be appropriate to extract vibration source characteristics of the structure. This paper introduces a way to analyze the signal based on an instant time. In order to evaluate the performance of the various approach, the investigatation compares three different algorithms which are frequently implemented in the instantaneous frequency analysis. Also for the noise effect embodied in the true signal, various cases for different SN ratio have been examined. The result shows that the noise level is crucial to evalute the instantaneous frequency analysis. In order to implement the instantaneous frequency analysis, the extraction of the relevant information from the measured signal should have the high S/N ratio, i, e., 40 dB or above.

The study of simplified technique compared with analytical solution method for calculating the energy consumption loads of four houses having various wall construction

  • Han, Kyu-Il
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.47 no.1
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    • pp.46-58
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    • 2011
  • A steady-state analysis and a simple dynamic model as simplified methods are developed, and results of energy consumption loads are compared with results obtained using computer to evaluate the analytical solution. Before obtaining simplified model a mathematical model is formulated for the effect of wall mass on the thermal performance of four different houses having various wall construction. This analytical study was motivated by the experimental work of Burch et al. An analytical solution of one-dimensional, linear, partial differential equation for wall temperature profiles and room air temperatures is obtained using the Laplace transform method. Typical Meteorological Year data are processed to yield hourly average monthly values. This study is conducted using weather data from four different locations in the United States: Albuquerque, New mexico; Miami, Florida; Santa Maria, California; and Washington D.C. for both winter and summer conditions. The steady state analysis that does not include the effect of thermal mass can provide an accurate estimate of energy consumption in most cases except for houses #2 and #4 in mild weather areas. This result shows that there is an effect of mass on the thermal performance of heavily constructed house in mild weather conditions. The simple dynamic model is applicable for high cycling rates and accurate values of inside wall temperature and ambient air temperature.

Visual Servoing of Robotic Manipulators for Moving Objects (동적 물체에 대한 로봇 매니퓰레이터의 Visual Servoing)

  • Sim, Kwee-Bo;Oh, Seung-Wook
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.1
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    • pp.15-24
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    • 1996
  • This paper presents a new method for visual servoing to control the pose(position and orientation) of the robotic manipulators for grasping the 3-D moving object whose initial pose and moving informations are unknown by using the stereo camera. The stereo camera is mounted on the end-effector of robotic manipulator. In order to track the current pose of robotic manipulator to the desired pose, we use the image Jacobian, which is described by the differential transform, relating the change in image feature point to the change in the object's pose with respect to the camera. In this paper the simple PD controller is adopted for the robotic manipulator to track the desired pose. Finally, the effectiveness of the proposed method is confirmed by some computer simulations.

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Emission Properties from Induced Structural Degradation of a-C:H Thin Film

  • Yoo, Young-Zo;Song, Jeong-Hwan
    • Transactions on Electrical and Electronic Materials
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    • v.12 no.3
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    • pp.89-92
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    • 2011
  • Hydrogenated amorphous carbon (a-C:H) films were deposited by plasma enhanced chemical vapor deposition on silicon substrates. a-C:H thin film was irradiated to a typical He-Cd laser to study its emitting properties. The photoluminescence (PL) intensity during the irradiation achieved a maximum value when 2,000 seconds elapsed. Fourier transform infrared measurement revealed a-C:H thin film suffered transformation from a polymer-like to graphite-like phase during laser irradiation. Thermal annealing was done at various temperatures, ranging from room temperature to $400^{\circ}C$ in the atmosphere, to investigate structural changes in a-C:H film by heat generation during the emission. PL intensity of a-C:H thin film increased 1.5 times without apparent structural change, as annealing temperature increased up to $200^{\circ}C$. However, a-C:H film above $200^{\circ}C$ exhibited significant decrease of PL accompanying dehydrogenation. This led to a red shift of the PL peak.

The Insulation Test of Varnish (바니쉬의 절연성 평가)

  • Kim, Jeong-Hun;Shin, Beak-Chul;Kim, Sung-Pil;Lee, Soo-Woon;Lee, Jong-Pil;Hong, Jin-Woong
    • Proceedings of the KIEE Conference
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    • 1999.11d
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    • pp.950-952
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    • 1999
  • In this paper, we are studied a electrical properties study with P.D.GEORGE/STER LING Co. P.B 302-LV-2 POLYBUTADIENE RESIN which is used for VPI(Vacuum Pressure Impregnation)processing of field magnet and armature of traction motor in Korean national railroad at present was carried out its FT-IR (Fourier Transform Infra-Red) volume resistivity characteristics. The varnishes were experimented with the temperature range form $25[^{\circ}C]$ to $180[^{\circ}C]$ and applied voltage were supplied at 100, 250, 500, 1,000[V]. In this condition, the volume resistivity for specimens were measured. From the above study, the following data obtained for volume resistivity. It can be confirmed that velume resistivity with the increase of temperature is lower rapidly from room temperature to $130[^{\circ}C]$, and it is lower slowly at temperature higher than $130[^{\circ}C]$. Volume resistivity value is higher, according as the specimen is thick gradually. As the applied voltage is higher in the same temperature, volume resistivity value is lower.

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Fast Triangular Mesh Approximation for Terrain Data Using Wavelet Coefficients (Wavelet 변환 계수를 이용한 대용량 지형정보 데이터의 삼각형 메쉬근사에 관한 연구)

  • 유한주;이상지;나종범
    • Journal of Broadcast Engineering
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    • v.2 no.1
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    • pp.65-73
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    • 1997
  • This paper propose a new triangular mesh approximation method using wavelet coefficients for large terrain data. Using spatio-freguency localization characteristics of wavelet coefficients, we determine the complexity of terrain data and approximate the data according to the complexity. This proposed algorithm is simple and requires low computational cost due to its top-down approach. Because of the similarity between the mesh approximation and data compression procedures based on wavelet transform, we combine the mesh approximation scheme with the Embedded Zerotree Wavelet (EZW) coding scheme for the effective management of large terrain data. Computer simulation results demonstrate that the proposed algorithm is very prospective for the 3-D visualization of terrain data.

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Electrochemical Random Signal Analysis during Localized Corrosion of Anodized 1100 Aluminum Alloy in Chloride Environments

  • Sakairi, M.;Shimoyama, Y.;Nagasawa, D.
    • Corrosion Science and Technology
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    • v.7 no.3
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    • pp.168-172
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    • 2008
  • A new type of electrochemical random signal (electrochemical noise) analysis technique was applied to localized corrosion of anodic oxide film formed 1100 aluminum alloy in $0.5kmol/m^3$ $H_3BO_4/0.05kmol/m^3$ $Na_2B_4O_7$ with $0.01kmol/m^3$ NaCl. The effect of anodic oxide film structure, barrier type, porous type, and composite type on galvanic corrosion resistance was also examined. Before localized corrosion started, incubation period for pitting corrosion, both current and potential slightly change as initial value with time. The incubation period of porous type anodic oxide specimens are longer than that of barrier type anodic oxide specimens. While pitting corrosion, the current and potential were changed with fluctuations and the potential and the current fluctuations show a good correlation. The records of the current and potential were processed by calculating the power spectrum density (PSD) by the Fast Fourier Transform (FFT) method. The potential and current PSD decrease with increasing frequency, and the slopes are steeper than or equal to minus one (-1). This technique allows observation of electrochemical impedance changes during localized corrosion.