• Title/Summary/Keyword: Sampling Theorem

Search Result 57, Processing Time 0.023 seconds

A Derivation of the Accuracy Relationship between the Reconstruction of 3D Object Coordinates and the Number of Closed Curves (폐곡선의 수에 따른 3차원 물체의 좌표 복원 정확도 관계 도출)

  • Lee, Deokwoo
    • Journal of Korea Multimedia Society
    • /
    • v.20 no.7
    • /
    • pp.1004-1013
    • /
    • 2017
  • This paper presents a relationship between the number of curves and geometric parameters of a 3D object. Once the relationship is established, the number of closed curves that can reliably represent 3D object is derived. Inspired by Shannon-Nyquist Sampling Theorem, in this paper, approach for sampling rate (defined as the minimum number of curves) for 3D reconstruction is proposed. The relationship is straightforward, is suitable for application to 3D object overlaid with closed-continuous curves, and can achieve efficient 3D reconstruction system in practice. To substantiate the proposed approach, simulation results are provided and the results show that the number of curves can be decreased without loss of generality of characteristics of a target 3D object.

Re-exploring teaching and learning of probability and statistics using Excel

  • Lee, Seung-Bum;Park, Jungeun;Choi, Sang-Ho;Kim, Dong-Joong
    • Journal of the Korea Society of Computer and Information
    • /
    • v.21 no.7
    • /
    • pp.85-92
    • /
    • 2016
  • The law of large numbers, central limit theorem, and connection among binomial distribution, normal distribution, and statistical estimation require dynamics of continuous visualization for students' better understanding of the concepts. During this visualization process, the differences and similarities between statistical probability and mathematical probability that students should observe need to be provided with the intermediate steps in the converging process. We propose a visualization method that can integrate intermediate processes and results through Excel. In this process, students' experiences with dynamic visualization help them to perceive that the results are continuously changed and extracted from multiple situations. Considering modeling as a key process, we developed a classroom exercise using Excel to estimate the population mean and standard deviation by using a sample mean computed from a collection of data out of the population through sampling.

Real-Time All-Optical Three-Dimensional Image Projector

  • Jang, Ju-Seog;Javidi, Bahram
    • 한국정보디스플레이학회:학술대회논문집
    • /
    • 2002.08a
    • /
    • pp.285-288
    • /
    • 2002
  • We propose the use of synchronously moving micro-optics (lenslet arrays) for image pickup and display in three-dimensional integral imaging to overcome the upper resolution limit imposed by the Nyquist sampling theorem. With the proposed technique, we present an all-optical three-dimensional integral imaging projector. An optically addressed spatial light modulator is used, which potentially provides better image resolution than the conventional CCD and liquid crystal display pair. We present experimental results using a liquid crystal light valve.

  • PDF

Approximate Interpolator for Direct Fourier Reconstruction in Diffraction Tomography (회절 단층법에서 직접 푸리에 재구성을 위한 근사적 보간 함수에 관한 연구)

  • Lee, Moon Ho;Lim, Young Seok
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.24 no.1
    • /
    • pp.167-172
    • /
    • 1987
  • In this paper, the interpolation schemes for Direct Fourier Reconstruction in Diffraction Tomography are discussed. The interpolator using circular sampling theorem is modified so that the reconstructed image may be closer to original object than those produced with other interpolators. Reconstructed images obtained by computer simulations with several interpolators including that derived in this paper are compared to original object: two concentric cylinders.

  • PDF

Ripple Free Multirate Controller Design Using Lifting Technique (리프팅 기법을 이용한 리플 제거 멀티레이트 제어기 설계)

  • Jeong, Dong-Seul;Cho, Kyu-Nam;Chung, Chung-Choo
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.13 no.11
    • /
    • pp.1040-1047
    • /
    • 2007
  • This paper presents ripple-free method that can occur in multirate controller design. The conventional multirate input controller has the problem that the ripple occurs in track-following because of chattering phenomenon in control input signal. In order to resolve the problem of rippling, it was proposed to eliminate the ripple phenomenon using feedforward compensator. This paper makes explains problems in conventional ripple-tree multirate controller and introduces a multirate controller design method applying lifting technique based on current estimators in condition space. Using the ripple-tree multirate controller, we show that chattering does not occur in the control input signal through applying the final value theorem from the viewpoint of discrete-time transformation. Also, this study proves that the ripple of the proposed controller decreases with the increase of this sampling frequency and, when sampling frequency is fixed, it decreases with the increase of the control input period.

Compressive Sensing: From Theory to Applications, a Survey

  • Qaisar, Saad;Bilal, Rana Muhammad;Iqbal, Wafa;Naureen, Muqaddas;Lee, Sungyoung
    • Journal of Communications and Networks
    • /
    • v.15 no.5
    • /
    • pp.443-456
    • /
    • 2013
  • Compressive sensing (CS) is a novel sampling paradigm that samples signals in a much more efficient way than the established Nyquist sampling theorem. CS has recently gained a lot of attention due to its exploitation of signal sparsity. Sparsity, an inherent characteristic of many natural signals, enables the signal to be stored in few samples and subsequently be recovered accurately, courtesy of CS. This article gives a brief background on the origins of this idea, reviews the basic mathematical foundation of the theory and then goes on to highlight different areas of its application with a major emphasis on communications and network domain. Finally, the survey concludes by identifying new areas of research where CS could be beneficial.

A Consideration on the Applicability of the Discrete-Time Models of Linearly Time-Varying Systems to Digital Signal Processing (선형 시변 시스템에서의 이산 시간 모델의 신호처리 적용성 고찰)

  • Kwon, Soon-Man;Lee, Jong-Moo;Park, Min-Kook;Kim, Choon-Kyung;Cheon, Jong-Min
    • Proceedings of the KIEE Conference
    • /
    • 2005.10b
    • /
    • pp.267-269
    • /
    • 2005
  • This paper describes a consideration on the sampling in linearly time-varying (LTV) systems in view of the convenience in digital signal processing. The relation between a continuous-time and a discrete-time system models is investigated for a simple linear time-invariant system. Based on the results of the investigation, we first consider discrete-time models for LTV systems, Then the simplicity of the models in terms of microprocessor-based digital signal processing is compared.

  • PDF

Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System (비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성)

  • Kang, Min-Sig
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.17 no.7 s.94
    • /
    • pp.1678-1685
    • /
    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.

Comparative Experimental Study on Color Meter for Monitor Color Correction (모니터 색상 보정을 위한 색측기 비교 실험에 관한 연구)

  • Han, Byung-Jo;Koo, Kyung-Wan
    • The Transactions of the Korean Institute of Electrical Engineers P
    • /
    • v.59 no.4
    • /
    • pp.444-449
    • /
    • 2010
  • The PID control to the monitor color correction was applied. Converted Gamma LUT was applied to the video card. Color and brightness information from the PID controller was used as control inputs. Color and brightness information from a calibrated monitor is measured again. Then, the difference between the preset values for the PID controller was compensated by the feedback. The software measured by color meter was used for color and brightness information. All of the monitor does not measure the color and brightness was measured by sampling. The color and brightness from the monitor were measured not by complete enumeration but by sampling. In the experiment, the original image was displayed on the same monitor as well as two other brands, and then, Gamma and Contrast were measured and compared.