• Title/Summary/Keyword: Transform Unit

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An Application of Z-transform in Single Storm Analysis (단일 호우 해석을 위한 Z-transform 기법의 적용)

  • Park, Haen-Nim;Cho, Won-Cheol
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.583-587
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    • 2005
  • At present, various methods are available to analyze storm runoff data. Among these, application of Z-transform is comparatively simple and new, and the technique can be used to identify rainfall and unit hydrograph from analysis of a single storm runoff. The technique has been developed under the premise that the rainfall-runoff process behaves as a linear system for which the Z-transform of the direct runoff equals the product of the Z-transforms of the transfer function and the rainfall. In the hydrologic literatures, application aspects of this method to the rainfall-runoff process are lacking and some of the results are questionable. Thus, the present study provides the estimation of Z-transform technique by analyzing the application process and the results using hourly runoff data observed at the research basin of International Hydrological Program (IHP), the Pyeongchanggang River basin. This study also provides the backgrounds for the problems that can be included in the application processes of the Z-transform technique.

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Early Decision of Transform unit for HEVC (HEVC를 위한 고속 변환 크기 결정방법)

  • Kang, Jang-Byung;Choi, Haechul
    • Journal of Broadcast Engineering
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    • v.18 no.4
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    • pp.631-642
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    • 2013
  • For the emerging High Efficiency Video Coding (HEVC) standard, a fast transform unit (TU) decision method is proposed. HEVC defines the TU representing a region sharing the same transformation, and it allows a residual block to be split into multiple TUs recursively to form a quadtree. By using the quadtree of TUs, HEVC supports various transform sizes from $4{\times}4$ to $32{\times}32$. The various sizes of TUs can provide a good coding efficiency, whereas this may increase encoding complexity dramatically. In the assumption that a TU with highly compacted energy is unlikely to be split, the proposed method determines TU sizes according to the position of the last non-zero transform coefficient. In the experimental results, the proposed method reduced 18% encoding run time with the negligible coding loss of 0.7% BD-rate for the Random_access case.

A Unit Root Test via a Discrete Cosine Transform (이산코사인변환을 이용한 단위근 검정)

  • Lee, Go-Un;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.35-43
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    • 2011
  • In this paper, we introduce a unit root test via discrete cosine transform in the AR(1) process. We first investigate the statistical properties of DCT coefficients under the stationary AR(1) process and the random walk process in order to verify the validity of the proposed method. A bootstrapping approach is proposed to induce the distribution of the test statistic under the unit root. We performed simulation studies for comparing the powers of the Dickey-Fuller test and the proposed test.

HEVC TRANSFORM UNIT PRUNING METHOD (HEVC 고속 변환 크기 결정 방법)

  • Kang, Jang-Byung;Lee, Si-Woong;Kim, Jae-Gon;Choi, Haechul
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2012.11a
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    • pp.172-175
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    • 2012
  • 본 논문은 HEVC (high efficiency video coding)의 복잡도 감소를 위한 고속 부호화 방법을 제안한다. 제안 방법은 마지막 0이 아닌 DCT 계수의 위치를 기준으로 블록의 평활성을 판단하고, 이에 따라 Transform Unit의 분할 여부를 빠르게 결정한다. 실험결과를 통해 미미한 0.5% BD-RATE 증가만으로 인코딩 타임을 약 20% 감소시킬 수 있음을 보인다.

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A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM

  • Cho, Hong-Rae;Seo, Yeoung-Tae
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.419-428
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    • 2006
  • The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.

A theory of Modified Incremental Circle Transform and its Application for Recognition of Two-Dimensional Polygonal Objects (Modified Incremental Circle Transform 이론과 2차원의 다각형 물체 인식에의 응용)

  • ;;;Zeung Nam Bien
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.6
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    • pp.861-870
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    • 1990
  • A method of recognizing objects is proposed that uses a concept of modified incremental circle transform. The modified incremental circle transform, which maps bundaries of an object into an unit circle, represnets efficiently the shape of the boundaries detected in digitized binary images of the objects. It is proved that modified incremental circle transform of object, which is invariant under object translation, rotation, and size, can be used as feature information for recognizing two dimensional polygonal object efficiently.

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A Fast TU Size Decision Method for HEVC RQT Coding

  • Wu, Jinfu;Guo, Baolong;Yan, Yunyi;Hou, Jie;Zhao, Dan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.6
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    • pp.2271-2288
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    • 2015
  • The emerging high efficiency video coding (HEVC) standard adopts the quadtree-structured transform unit (TU) in the residual quadtree (RQT) coding. Each TU allows to be split into four equal sub-TUs recursively. The RQT coding is performed for all the possible transform depth levels to achieve the highest coding efficiency, but it requires a very high computational complexity for HEVC encoders. In order to reduce the computational complexity requested by the RQT coding, in this paper, we propose a fast TU size decision method incorporating an adaptive maximum transform depth determination (AMTD) algorithm and a full check skipping - early termination (FCS-ET) algorithm. Because the optimal transform depth level is highly content-dependent, it is not necessary to perform the RQT coding at all transform depth levels. By the AMTD algorithm, the maximum transform depth level is determined for current treeblock to skip those transform depth levels rarely used by its spatially adjacent treeblocks. Additionally, the FCS-ET algorithm is introduced to exploit the correlations of transform depth level between four sub-CUs generated by one coding unit (CU) quadtree partitioning. Experimental results demonstrate that the proposed overall algorithm significantly reduces on average 21% computational complexity while maintaining almost the same rate distortion (RD) performance as the HEVC test model reference software, HM 13.0.

Transient response of vibration systems with viscous-hysteretic mixed damping using Hilbert transform and effective eigenvalues

  • Bae, S.H.;Jeong, W.B.;Cho, J.R.;Lee, J.H.
    • Smart Structures and Systems
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    • v.20 no.3
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    • pp.263-272
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    • 2017
  • This paper presents the time response of a mixed vibration system with the viscous damping and the hysteretic damping. There are two ways to derive the time response of such a vibration system. One is an analytical method, using the contour integral of complex functions to compute the inverse Fourier transforms. The other is an approximate method in which the analytic functions derived by Hilbert transform are expressed in the state space representation, and only the effective eigenvalues are used to efficiently compute the transient response. The unit impulse responses of the two methods are compared and the change in the damping properties which depend on the viscous and hysteretic damping values is investigated. The results showed that the damping properties of a mixed damping vibration system do not present themselves as a linear combination of damping properties.

ITERATES OF WEIGHTED BEREZIN TRANSFORM UNDER INVARIANT MEASURE IN THE UNIT BALL

  • Lee, Jaesung
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.449-457
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    • 2020
  • We focus on the interations of the weighted Berezin transform Tα on Lp(τ), where τ is the invariant measure on the complex unit ball Bn. Iterations of Tα on L1R(τ) the space of radial integrable functions played important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. Here, we introduce more properties on iterations of Tα on L1R(τ) and observe differences between the iterations of Tα on L1(τ) and Lp(τ) for 1 < p < ∞.

hardware implementation of multi-target tracking system based on binary phase extraction JTC (BPEJTC를 이용한 다중표적 추적시스템의 하드웨어 구현)

  • 이승현;이상이;류충상;차광훈;서춘원;김은수
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.10
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    • pp.152-159
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    • 1996
  • We have designed and implemented an optoelectronic hardware of binary phase extraction joint transform correlator (BPEJTC) which provides higher peak-to-sidelobe ratio than many other versions of JTC that has been published so far and does not produce correlation peaks due to intra-class association, to construct a multi-target tracking system. The digital processing unit controlling the entire system plays the part of modifying and binarizing the joint transform power spectrum (JTPS) and the optical processing unit is mainly used to take fourier transform operations. Some experimental results conducted by designed system along with its architecture showed the processing rate of 6 frames per second, thereby the potential applicability of the proposed system to real-time multitarget tracking system is given.

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