• ETRI Journal
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• 제45권1호
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• pp.119-130
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• 2023

We propose a quantized gradient search algorithm that can achieve global optimization by monotonically reducing the quantization step with respect to time when quantization is composed of integer or fixed-point fractional values applied to an optimization algorithm. According to the white noise hypothesis states, a quantization step is sufficiently small and the quantization is well defined, the round-off error caused by quantization can be regarded as a random variable with identically independent distribution. Thus, we rewrite the searching equation based on a gradient descent as a stochastic differential equation and obtain the monotonically decreasing rate of the quantization step, enabling the global optimization by stochastic analysis for deriving an objective function. Consequently, when the search equation is quantized by a monotonically decreasing quantization step, which suitably reduces the round-off error, we can derive the searching algorithm evolving from an optimization algorithm. Numerical simulations indicate that due to the property of quantization-based global optimization, the proposed algorithm shows better optimization performance on a search space to each iteration than the conventional algorithm with a higher success rate and fewer iterations.

• ETRI Journal
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• 제33권5호
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• pp.814-817
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• 2011

In this letter, the distributions of direct current (DC) coefficients for P-frames in H.264/AVC are analyzed, and the distortion model of the Gaussian source under the quantization of the dead-zone plus-uniform threshold quantization with uniform reconstruction quantizer is derived. Experimental results show that the DC coefficients of P-frames are best approximated by the Laplacian distribution and the Gaussian distribution at small quantization step sizes and at large quantization step sizes, respectively.

• 한국멀티미디어학회논문지
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• 제12권7호
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• pp.913-921
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• 2009

동영상을 압축하는 방법에서 양자화 사용은 필수적이다. 양자화기는 동영상의 부호화율을 조정할 수 있고 화질을 제어할 수 있다. 특히, 동영상내 관심영역이 있는 경우에 관심영역에 좋은 화질을 제공해주면 주관적 화질이 개선될 수 있다. 이를 위하여 먼저 본 논문에서는 화면내 주관적 관심영역에 따라 동영상을 분류하는 방법을 제시한다. 또한, 동영상내 관심영역에 따라 화질을 차등적으로 제어하기 위한 양자화 계단 크기 할당방법을 제안한다. 관심영역에는 그렇지 않는 영역에 비하여 양자화 계단크기를 상대적으로 작게 할당함으로써 전체적으로 주관적 화질을 개선시킨다. 본 논문에 제시된 방법에 의해 양자화 계단의 크기를 차등적으로 적용함으로써 주관적 화질의 개선이 이루어졌으며 화면내에서 양자화 변수의 최대값과 최소값의 차이가 4$\sim$8이 주관적 화질개선에 가장 적절한 것으로 분석되었다.

• 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.

• 전자공학회논문지C
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• 제34C권11호
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• pp.20-28
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• 1997

In this paper, quantization and inverse quantizatio unit, a sa component of MPEG-2 moving picture compression system, ar edesigned. In the processing of quantization, this design adopted newly designed arithmetic units in which quantization matrices and scale code was expressed with SD(signed-digit) code. In the arithmetic unit of inverse quantization, quantization scale code, which has 5-bits length, is splited into two pieces; 2-bits for control code, 3-bits for quantization data, and the method to devise quantization step size is proposed. The design was coded with VHDL and synthesis results in that it consumed about 6,110 gates, and operating speed is 52MHz.

• 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.

• 방송공학회논문지
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• 제17권4호
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• pp.670-675
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• 2012

정지영상 및 동영상내의 화면에서 관심영역이 설정되고, 비관심영역에 비하여 관심영역에 높은 화질이 제공되면 전체적으로 주관적 화질이 증대하게 된다. 관심영역은 색상 카메라만을 이용하여 추출하게 되면 계산이 복잡해질 뿐만아니라 추출의 정확도도 떨어지게 된다. 따라서 본 논문에서는 관심영역을 설정하기 위하여 깊이 카메라를 이용하며, 카메라와 관심영역 객체별 거리를 산출하고, 거리에 따라 객체의 화질을 차별적으로 제어하는 방법을 제안한다. 즉, 거리가 먼 객체에는 높은 양자화 계단크기를 적용하지만, 상대적으로 거리가 가까운 객체에는 낮은 양자화 계단크기를 적용하여 화질을 좋게 한다. 본 논문에서 제안된 방법에 의해 객체의 거리별로 양자화계단의 크기를 차등적으로 적용함으로써 주관적 화질의 개선이 이루어졌으며 모의실험을 바탕으로 확인할 수 있다.

• 한국통신학회논문지
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• 제38A권9호
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• pp.792-797
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• 2013

본 논문에서는 강한 광대역정규잡음 환경에서 송신한 확산신호와 수신기에서 발생한 확산신호의 동기에 따른 2비트 비균등 양자화기의 변환손실을 (conversion loss) 분석하고, 이를 통해 변환손실이 최소인 2비트 비균등 양자화기의 출력은 ${\pm}1$, ${\pm}2$이고, 양자화 간격은 재밍 대 신호 전력비로 근사화할 수 있음을 보인다.

• Journal of Electrical Engineering and information Science
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• 제2권6호
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• pp.138-145
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• 1997

This paper proposes an adaptive algorithm for the quantization step size control of MPEG-2, using the information obtained from the previously encoded picture. Before quantizing the DCT coefficients, the properties of reconstruction error of each macro block (MB) is predicted from the previous frame. For the prediction of the error of current MB, a block with the size of MB in the previous frame are chosen by use of the motion vector. Since the original and reconstructed images of the previous frame are available in the encoder, we can calculate the reconstruction error of this block. This error is considered as the expected error of the current MB if it is quantized with the same step size and bit rate. Comparing the error of the MB with the average of overall MBs, if it is larger than the average, small step size is given for this MB, and vice versa. As a result, the error distribution of the MB is more concentrated to the average, giving low variance and improved image quality. Especially for the low bit application, the proposed algorithm gives much smaller error variance and higher PSNR compared to TM5 (test model 5).

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2001년도 제14회 신호처리 합동 학술대회 논문집
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• pp.223-226
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• 2001

In this paper, we propose a robust and fragile watermarking technique for tamper proofing of still images. Robust watermarks are embedded by quantization with a robust quantization step-size, and it is imperceptible value for human visual system. Fragile watermarks are embedded by thresholding and quantization with EW(Embedded Zerotree Wavelet) algorithm. The proposed method enables us to distinguish malicious change from non-malicious change. Futhermore this technique enables us to find tampering regions and degrees.