• 한국통신학회논문지
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• 제29권7A호
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• pp.794-806
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• 2004

본 논문에서는 IEEE 802.11a의 OFDM 통신시스템에 대한 송수신 주파수편차의 교정기법을 연구하고 편차주파 수들의 교정오차에 의한 잡음을 분석한다. 반송주파수편차에 의한 심볼당 회전위상을 짧은 훈련신호(short preamble)의 자기상관에서 추정한다. 잡음의 영향을 줄이기 위하여 짧은 훈련신호(short preamble)를 과도표본화 (over-sampling)한다. 파일롯(pilot) 신호를 도입하여 추정된 반송주파수편차의 오차와 표본화 주파수편차에 의한 OFDM 심볼당 회전위상을 추정한다. 이러한 회전위상의 추정과 교정에 CORDIC(Coordinated Rotational Digital Computer) 프로세서 또는 각도와 복소수의 환산표를 사용하고 이것들의 구현기법과 장단점을 비교한다. 복소수와 위상은 CORDIC 프로세서와 환산표에서 한정된 비트(bit) 개수로 계산되므로 각도양자화 오차가 있게 된다. 비트개수에 따른 각도양자화 오차를 OFDM 신호의 SNR로 나타내고 IEEE 802.11a의 편차주파수 교정에서 요구되는 최소한의 비트 개수를 제시한다. 끝으로, 모의실험을 통하여 짧은 훈련신호로 반송주파수편차를 추정하고 CORDIC 프로세서와 환산표에서 사용된 비트 개수에 따른 양자화 잡음을 검증한다.

• Journal of the Optical Society of Korea
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• 제15권3호
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• pp.244-251
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• 2011

We propose a new 2-step phase-shifting digital holographic optical encryption technique and analyze tolerance error for this cipher system. 2-step phase-shifting digital holograms are acquired by moving the PZT mirror with phase step of 0 or ${\pi}$/2 in the reference beam path of the Mach-Zehnder type interferometer. Digital hologram with the encrypted information is Fourier transform hologram and is recorded on CCD camera with 256 gray-level quantized intensities. The decryption performance of binary bit data and image data is analyzed by considering error factors. One of the most important errors is quantization error in detecting the digital hologram intensity on CCD. The more the number of quantization error pixels and the variation of gray-level increase, the more the number of error bits increases for decryption. Computer experiments show the results to be carried out encryption and decryption with the proposed method and the graph to analyze the tolerance of the quantization error in the system.

• Journal of the Optical Society of Korea
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• 제10권3호
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• pp.118-123
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• 2006

We present an optical security method for binary data information by using 4-step phase-shifting digital holography and we analyze tolerance error for the decrypted data. 4-step phase-shifting digital holograms are acquired by moving the PZT mirror with equidistant phase steps of ${\pi}/2$ in the Mach-Zender type interferometer. The digital hologram in this method is a Fourier transform hologram and is quantized with 256 gray level. The decryption performance of the binary data information is analyzed. One of the most important errors is the quantization error in detecting the hologram intensity on CCD. The greater the number of quantization error pixels and the variation of gray level increase, the more the number of error bits increases for decryption. Computer experiments show the results for encryption and decryption with the proposed method and show the graph to analyze the tolerance of the quantization error in the system.

• Bulletin of the Korean Chemical Society
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• 제28권3호
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• pp.408-412
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• 2007

Combining the analytical transfer matrix method with supersymmetry algebra, a new quantization condition is suggested. To demonstrate the efficiency of the new quantization condition, the eigenenergies of the Coulomb potential are analytically derived. The scattering-led phase shifts are also determined and they are the same for all Coulomb potential states. It is found that the new quantization condition is mathematically simple and exact.

• Bulletin of the Korean Chemical Society
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• 제26권11호
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• pp.1717-1722
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• 2005

The analytical transfer matrix method suggests a new quantization condition for calculating bound state eigenenergies exactly. In the quantization condition, the phase shifts of bound state wave functions scattered at classical turning points are explicitly introduced. We calculate the phase shifts of eigenfunctions of the Morse potential with various boundary conditions in order to understand the physical meaning of phase shifts. The Morse potential is known to adequately describe the interaction energy between two atoms and, therefore, it is frequently used to determine the vibrational energy levels of diatomic molecules. The variation of Morse potential eigenenergies influenced upon by changing boundary conditions is also investigated.

• Journal of Electrical Engineering and Technology
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• 제7권6호
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• pp.1014-1022
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• 2012

This paper proposes a modified recursive sliding DFT to measure the phase of a single-tone. The modification is to provide a self error-cancelling mechanism so that it can significantly reduce the numerical error, which is generally introduced and accumulated when a recursive algorithm is implemented in finite wordlength arithmetic. The phase measurement error is analytically derived to suggest optimized distributions of quantization bits. The analytic derivation and the robustness of the algorithm are also verified by computer simulations. It shows that the maximum phase error of less than $5{\times}10^{-2}$ radian is obtained even when the algorithm is coarsely implemented with 4-bit wordlength twiddle factors.

• Journal of Communications and Networks
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• 제17권5호
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• pp.463-472
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• 2015

This paper considers a limited feedback system for two-way wireless relaying channels with physical network coding (PNC). For full feedback systems, the optimal structure with the PNC has already been studied where a modulo operation is employed. In this case, phase and power of two end node channels are adjusted to maximize the minimum distance. Based on this result, we design new quantization methods for the phase and the power in the limited feedback system. By investigating the minimum distance of the received constellation, we present a code-book design to maximize the worst minimum distance. Especially, for quantization of the power for 16-QAM, a new power quantization scheme is proposed to maximize the performance. Also, utilizing the characteristics of the minimum distance observed in our codebook design, we present a power allocation method which does not require any feedback information. Simulation results confirm that our proposed scheme outperforms conventional systems with reduced complexity.

• Journal of Communications and Networks
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• 제12권6호
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• pp.529-532
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• 2010

Multi-carrier demultiplexer/demodulator (MCDD) in an on-board processing (OBP) satellite used for digital multimedia services has two typical architectures according to the channel demultiplexing procedure: Multistage multi-carrier demultiplexer (M-MCD) or poly-phase fast Fourier transform (PPF). During the channel demultiplexing, phase and quantization errors influence the performance of MCDD; those errors affect the bit error rate (BER) performance of M-MCD and PPF differently. In this paper, we derive the phase error variances that satisfy the condition that M-MCD and PPF have the same signal to noise ratio according to quantization bits, and then, with these results, analyze the BER performances of M-MCD and PPF. The results provided here may be a useful reference for the selection of M-MCD or PPF in designing the MCDD in an OBP satellite communications system.

• 한국광학회지
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• 제5권2호
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• pp.217-224
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• 1994

반점 간섭무늬 위상단면도의 잡음을 제거하기 위해 위상이동 convolution과 2-bit 양자화 스무딩 필터를 조합하였다. 위상이동 convoltion처리로 톱니파 형태를 갖는 반점 간섭무늬 위상단면도에서 2.pi. jump 양단의 edge 성분을 완벽하게 유지하면서 스무딩 처리를 할 수 있었다. 2-bit 양자화 스무딩 필터는 반점 간섭무늬 위상단면도의 스무딩 처리를 하는데 있어서 average, low-pass 필터 및 median 필터 보다 처리속도가 빠르고 S/N비 특성이 우수하였다. 잡음을 제거한 반점 위상단면도를 path dependent unwrapping 알고리즘을 적용하여 위상의 2.pi. 불연속성을 해소하고 펼쳐 보았다.

• Journal of Information Processing Systems
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• 제13권1호
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• pp.114-127
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• 2017

This paper proposes a color image coding algorithm based on shape-adaptive all phase biorthogonal transform (SA-APBT). This algorithm is implemented through four procedures: color space conversion, image segmentation, shape coding, and texture coding. Region-of-interest (ROI) and background area are obtained by image segmentation. Shape coding uses chain code. The texture coding of the ROI is prior to the background area. SA-APBT and uniform quantization are adopted in texture coding. Compared with the color image coding algorithm based on shape-adaptive discrete cosine transform (SA-DCT) at the same bit rates, experimental results on test color images reveal that the objective quality and subjective effects of the reconstructed images using the proposed algorithm are better, especially at low bit rates. Moreover, the complexity of the proposed algorithm is reduced because of uniform quantization.