• Proceedings of the Korean Statistical Society Conference
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• 2004.11a
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• pp.85-90
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• 2004

이 논문에서는 시계열자료을 이산코사인변환을 이용하여 주파수 공간으로 변환시킨 후 이산코사인변환 계수를 이용하여 재표본을 추출하는 방법에 대해 알아본다.

• Proceedings of the KIEE Conference
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• 1987.07b
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• pp.1229-1232
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• 1987

본 논문은 N이 서로소인 두 자연수 $N_1$과 $N_2$로 분해되는 경우에 대하여 이산코사인 변환의 소인수 분해 계산기법 및 이를 위한 인덱스 매핑을 고찰하고 있다. 소인수 분해 알고리즘의 유도과정에 나타나는 관계식들을 표의 형태로 변형시키고, 이 인덱스 매핑 표들을 바탕으로 이산 코사인 변환을 구현하는 방법이 소개되어 있다.

• Proceedings of the Korea Information Processing Society Conference
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• 2003.05c
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• pp.2073-2076
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• 2003

본 논문에서는 이산코사인변환의 선형성을 이용하여 정지화상의 위변조를 방지하기 위한 semi-fragile 워터마킹 방법을 제안하였다. 제안한 방법에서는 이산코사인변환의 선형특성을 이용하여 공간영역에서 임의의 DCT 계수를 변형시킬 수 있으므로 이산코사인변환을 행하지 않고도 워터마킹 정보를 삽입할 수 있으므로 빠른 워터마킹 삽입이 가능하다 또한 정해진 DCT 계수에만 워터마킹 정보를 삽입할 수 있으므로 비가시성의 향상을 가져올 수 있다. 제안한 방법이 압축에 강인함을 실험을 통하여 입증하였다.

• The Korean Journal of Applied Statistics
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• v.19 no.1
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• pp.121-134
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• 2006

This paper presents the resampling method for time series data in the frequency domain obtained by using discrete cosine transforms(DCT) The advantage of the proposed method is to generate bootstrap samples in time domain comparing with existing bootstrapping method. When time series are stationary, statistical properties of DCT coefficients are investigated and provide the verification of the proposed procedure.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.23 no.1
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• pp.84-89
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• 2019

JPEG is a most widely used standard image compression technology. This research introduces the JPEG image compression algorithm and describes each step in the compression and decompression. Image compression is the application of data compression on digital images. The DCT (discrete cosine transform) is a technique for converting a time domain to a frequency domain. First, the image is divided into 8 by 8 pixel blocks. Second, working from top to bottom left to right, the DCT is applied to each block. Third, each block is compressed through quantization. Fourth, the matrix of compressed blocks that make up the image is stored in a greatly reduced amount of space. Finally if desired, the image is reconstructed through decompression, a process using IDCT (inverse discrete cosine transform). The purpose of this research is to review all the processes of image compression / decompression using the discrete cosine transform method.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.45 no.6
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• pp.88-94
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• 2008

A DCT-based energy-ratio measure for autofocus in digital camera is proposed in this paper. This measure, namely AC2DC1 and AC5DC1, determines the sharpness of an image using a ratio between AC and DC energy in the DCT domain. This method is derived from energy analysis of DCT coefficients. Autofocus score calculation method is used to assess the performance of the proposed measure and to compare it with other measures. Experimental results under various conditions verify the robustness of the proposed focus measure for the Gaussian as well as impulsive noises.

• The Transactions of the Korea Information Processing Society
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• v.5 no.5
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• pp.1357-1366
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• 1998

In this paper, we propose the method that extract shape features using the DCT(Discrete Cosine Transform) via simple invariant normalization. To retrieve effectively, we used measures, circularity and eccentricity, as filters to reduce the number of retrieved images. The experimental results show that our method is better than the methods of Fourier Descriptors and Moment Invariant for various leaf images.

• The Korean Journal of Applied Statistics
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• v.20 no.2
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• pp.323-332
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• 2007

We present a new type of portmanteau test in the frequency domain which is derived from the discrete cosine transform(DCT). For the stationary time series, DCT coefficients are asymptotically independent and their variances are expressed by linear combinations of autocovariances. The covariance matrix of DCT coefficients for white noises is diagonal matrix whose diagonal elements is the variance of time series. A simple way to test the independence of time series is that we divide DCT coefficients into two or three parts and then compare sample variances. We also do this by testing the slope in the linear regression model of which the response variables are absolute values or squares of coefficients. Simulation results show that the proposed tests has much higher powers than Ljung-Box test in most cases of our experiments.

• Journal of KIISE:Information Networking
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• v.30 no.1
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• pp.17-23
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• 2003

In this Paper. we Propose a digital watermarking scheme for digital images based on a perceptual model, the frequency masking, texture making, and luminance masking Properties of the human visual system(HVS), which have been developed in the context of image compression. We embed two types of watermark, one is pseudo random(PN) sequences, the other is a logo image. To embed the watermarks, original images are decomposed into $8\times8$ blocks, and the discrete cosine transform(DCT) is carried out for each block. Watermarks are casted in the low frequency components of DCT coefficients. The perceptual model adjusts adaptively scaling factors embedding watermarks according to the local image properties. Experimental results show that the proposed scheme presents better results than that of non-perceptual watermarking methods for image qualify without loss of robustness.

• 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.