• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제26권1호
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• pp.67-75
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• 2022

Analysis of non-integer order thermoelastic temperature distribution and it's thermal deflection of thin hollow circular disk under the axi-symmetric heat supply is investigated. Initially, the disk is kept at zero temperature. For t > 0 the parametric surfaces are thermally insulated and axi-symmetric heat supply on the thickness of the disk. The governing heat conduction equation has been solved by integral transform technique, including Mittag-Leffler function. The results have been computed numerically and illustrated graphically with the help of PTC-Mathcad.

• Journal of electromagnetic engineering and science
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• 제6권4호
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• pp.244-252
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• 2006

A block Jacket transform and. its block inverse Jacket transformn have recently been reported in the paper 'Fast block inverse Jacket transform'. But the multiplication of the block Jacket transform and the corresponding block inverse Jacket transform is not equal to the identity transform, which does not conform to the mathematical rule. In this paper, new binary block Jacket transforms and the corresponding binary block inverse Jacket transforms of orders $N=2^k,\;3^k\;and\;5^k$ for integer values k are proposed and the mathematical proofs are also presented. With the aid of the Kronecker product of the lower order Jacket matrix and the identity matrix, the fast algorithms for realizing these transforms are obtained. Due to the simple inverse, fast algorithm and prime based $P^k$ order of proposed binary block inverse Jacket transform, it can be applied in communications such as space time block code design, signal processing, LDPC coding and information theory. Application of circular permutation matrix(CPM) binary low density quasi block Jacket matrix is also introduced in this paper which is useful in coding theory.

• 한국통신학회논문지
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• 제25권3B호
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• pp.557-564
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• 2000

This paper presents a watermarking algorithm for embedding visually recognizable pattern (Mark, Logo, Symbol, stamping or signature) into the image. first, the color image(RGB model)is transformed in YCbCr model and then the Y component is transformed into 3-level wavelet transform. Next, the values are assembled with pattern watermark. PN(pseudo noise) code at spread spectrum communication method and mutilevel watermark weights. This values are inserted into discrete wavelet domain. In our scheme, new calculating method is designed to calculate wavelet transform with integer value in considering the quantization error. and we used the color conversion with fixed-point arithmetic to be easy to make the hardware hereafter. Also, we made the new solution using mutilevel threshold to robust to common signal distortions and malicious attack, and to enhance quality of image in considering the human visual system. the experimental results showed that the proposed watermarking algorithm was superior to other similar water marking algorithm. We showed what it was robust to common signal processing and geometric transform such as brightness. contrast, filtering. scaling. JPEG lossy compression and geometric deformation.

• 반도체디스플레이기술학회지
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• 제5권2호
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• pp.19-25
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• 2006

This paper focuses on lossy medical image compression methods for medical images that operate on three-dimensional(3-D) irreversible integer wavelet transform. We offer an application of unbalanced tree structure algorithm to medical images, using a 3-D unbalanced wavelet decomposition and a 3-D unbalanced spatial dependence tree. The wavelet decomposition is accomplished with integer wavelet filters implemented with the lifting method. We have tested our encoder on volumetric medical images using different integer filters and coding unit sizes. The coding unit sizes of 16 slices save considerable dynamic memory(RAM) and coding delay from full sequence coding units used in previous works. If we allow the formation of trees of different lengths, then we can accomodate more transaxial scales than three. The encoder and decoder can then keep track of the length of the tree in which each pixel resides through the sequence of decompositions. Results show that, even with these small coding units, our algorithm with certain filters performs as well and better in lossy coding than previous coding systems using 3-D integer unbalanced wavelet transforms on volumetric medical images.

• 한국지구과학회지
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• 제34권1호
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• pp.69-80
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• 2013

지형 자료는 지구과학 여러 분야에서 중요한 기초 자료 중 하나이다. 최근 들어, 상세한 분해능을 가지는 DEM 자료가 활용가능하며 따라서 방대한 양의 자료를 효율적으로 다루는 방법이 필요하다. 본 연구에서는 방대한 DEM 자료의 무손실 압축 및 효율적인 복원에 대해 알아보았다. 이를 위해 정수웨이블릿 변환과, 엔트로피 부호화의 개념을 이용하여, 웨이블릿 계수의 부호화 및 일부 영역의 지형복원 방법을 고안하였다. 또한, 정밀 중력 지형보정 과정에서 이러한 연구 결과의 활용성을 검토하였다. DEM의 압축률이 가장 좋은 웨이블릿은 CDF3.5이며, CDF3.1 또는 CDF3.5 웨이블릿을 사용하여 3단계 정도로 분해를 하는 것이 최적의 선택이다 (약 45.4%의 압축률). 또한 웨이블릿변환의 다중단계분석 특성을 활용하여 웨이블릿계수의 일부만을 추출하여 지형의 일부만을 복원할 수 있었다.

• JSTS:Journal of Semiconductor Technology and Science
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• 제7권4호
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• pp.247-253
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• 2007

In this paper, a high throughput multiple transform architecture for H.264 Fidelity Range Extensions (FRExt) is proposed. New techniques are adopted which (1) regularize the $8{\times}8$ integer forward and inverse DCT transform matrices, (2) divide them into four $4{\times}4$ sub-matrices so that simple fast butterfly algorithm can be used, (3) because of the similarity of the sub-matrices, mixed butterflies are proposed that all the sub-matrices of $8{\times}8$ and matrices of $4{\times}4$ forward DCT (FDCT), inverse DCT (IDCT) and Hadamard transform can be merged together. Based on these techniques, a hardware architecture is realized which can achieve throughput of 1.488Gpixel/s when processing either $4{\times}4\;or\;8{\times}8$ transform. With such high throughput, the design can satisfy the critical requirement of the real-time multi-transform processing of High Definition (HD) applications such as High Definition DVD (HD-DVD) ($1920{\times}1080@60Hz$) in H.264/AVC FRExt. This work has been synthesized using Rohm 0.18um library. The design can work on a frequency of 93MHz and throughput of 1.488Gpixel/s with a cost of 56440 gates.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권9호
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• pp.4448-4466
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• 2018

In recent years, due to its high efficiency and better performance, the high efficiency video coding (HEVC) has become the most common compression standard in the field of video coding. In this paper, the framework of HEVC is deeply analyzed, and an improved HEVC video coding algorithm based on all phase biorthogonal transform (APBT) is proposed, where APBT is utilized to replace the discrete cosine transform (DCT) and discrete sine transform (DST) in original HEVC standard. Based on the relationship between APBT and DCT, the integer APBT is deduced. To further improve the coding performance, an optimal HEVC video coding algorithm based on hybrid APBT is proposed. The coding performance of the proposed HEVC coding algorithm is improved without increasing the complexity. Experimental results show that compared with HEVC standard algorithm, the improved HEVC video coding algorithm based on hybrid APBT can improve the coding performance of chrominance components by about 0.3%.

• 방송과미디어
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• 제7권3호
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• pp.44-53
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• 2002

본 논문은 현재 ITU-T와 ISO에 의해서 공동으로 표준화 작업이 진행되고 있는 H.26이 MPEG-4 Part 10표준의 변환(transform) 및 양자화(quantization) 과정에서 대해서 서술하는 것을 목적으로 하고 있다. H.26이 MPEG-4 Part 10 에서는 H.263, MPEG-4등과는 달리 H.26이 MPEG-4 Part 10 표준은 정수 변환(integer transform)을 채택함으로 인해서 구현시의 분해능(resolution)에 따라서 달라질 수 있는 오차(mismatch)를 근원적으로 제거한 것을 가장 큰 특징으로 들 수 있다. 또한 변환 과정을 16 비트 연산으로 가능하도록 설계한 것 또한 여타 표준과 구별 할 수 있는 특징이라 하겠다.

• 한국통신학회논문지
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• 제36권7C호
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• pp.481-487
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• 2011

CDD(Cyclic Delay Diversity)는 다중 전송 안테나를 사용하는 OFDM(Orthogonal Frequency Division Multiplexing) 시스템에서 간단히 전송 다이버시티를 얻을 수 있는 기법이다. 그러나 CDD 안테나가 적용된 OFDM 시스템에서 형성되는 채널의 주파수 선택적 특성은 정수배 주파수 옵셋(Integer Frequency Offset)과 FFT(Fast Fourier Transform) 이후의 동기화 기법들의 성능 감쇄를 발생시킨다. 본 논문은 CDD를 갖는 OFDM 기반의 DRM+ 시스템을 위한 향상된 정수배 주파수 옵셋 추정 기법을 제안한다. 제안된 기법에서는 채널의 주파수 특성이 동일한 파일롯 부분 집합을 선택함으로써 CDD에 형성되는 채널의 주파수 선택적 특성에 의한 정수배 주파수 옵셋 추정의 열화 성능을 감소시킨다. 모의실험 결과를 통해 제안된 기법의 정수배 주파수 옵셋 추정 성능이 기존 기법에 비해 향상됨을 보인다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2000년도 하계학술대회 논문집 D
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• pp.3100-3102
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• 2000

In this paper, we propose to a robust frequency offset estimation method of OFDM signals. A carrier frequency offset may be decomposed into an integer multiple of the subcarrier spacing and a residual frequency offset. Fractional part of frequency offset is obtained by using the maximum likelihood estimation(MLE) method. And we use the correlation of the samples at the output of the discrete Fourier transform(DFT) to estimate integer part of frequency offset. The result shows that the estimation frequency offset is almost linear to frequency offset. We propose to an improved estimation error variance of the carrier frequency offset estimation. The proposed estimator has better performance than the conventional ones in terms of error variance and tracking range.