• 제어로봇시스템학회:학술대회논문집
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• 1989.10a
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• pp.82-86
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• 1989

In this paper, digital autopilot design methods are investigated and a new method is suggested in order to improve existing problems. The method is based on .delta. transform (1) and overcome numerical problems occurring in the process of discretization. We illustrate design procedures using .delta. transform and suggest a hardware and software structure for digital autopilot implemented by microprocessor.

• Bulletin of the Korean Mathematical Society
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• v.46 no.5
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• pp.835-844
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• 2009

The ridgelet transform is extended to the space of square integrable Boehmians. It is proved that the extended ridgelet transform $\mathfrak{R}$ is consistent with the classical ridgelet transform R, linear, one-to-one, onto and both $\mathfrak{R}$, $\mathfrak{R}^{-1}$.1 are continuous with respect to $\delta$-convergence as well as $\Delta$-convergence.

• East Asian mathematical journal
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• v.29 no.5
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• pp.467-479
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• 2013

We develop a Fourier-Feynman theory for Fourier-type functionals ${\Delta}^kF$ and $\widehat{{\Delta}^kF}$ on Wiener space. We show that Fourier-Feynman transform and convolution of Fourier-type functionals exist. We also show that the Fourier-Feynman transform of the convolution product of Fourier-type functionals is a product of Fourier-Feynman transforms of each functionals.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.34S no.1
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• pp.105-114
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• 1997

The phase retrieval problem is concerned with the reconstruction of a signal or its fourier transform phase form the fourier transform magnitude of the signal. This problem does not have a unique solution, in general. If, however, the desired signal is minimum-phase, then it can be decided uniquely. This paper shows that we can make a minimum-phase signal by adding a delta function having a large value at the origin of an arbitrary one-dimensional signal, and a two-dimensional signal can be uniquely specified from its fourier transform magnitude if it is added by a delta function having a large value at the origin, and finally we can solve a two-dimensional phase retrieval problem by decomposing it into several ine-dimensional phase retrieval problems.

• Journal of environmental and Sanitary engineering
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• v.9 no.1
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• pp.89-96
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• 1994

This report was investigate the biological characteristic of $\delta$-endotoxin of product by TH109 strain, one strain TH109 which has toxicity on Cockroach is isolate and identification. Generally the $\delta$-endotoxin of product by 3. thuringiensis strain was easily soluble in acid, alkaline and organic solvents but $\delta$-endotoxin of product by TH109 strain are insoluble in HCI, NaOH Thiol- reagent(25mM Dithiotheritol, 25mM Dithioeryritol, 25mM Nathioglycolate, 0.2M ESCN, 2% v/v $\beta$-mecaptethanol), organic solvents( acetone, $CCI_{4}$, ether, dioxin MeOH chloroforrh xylene ), Protease. Through this study of $\delta$-endotoxin produced by TH109 strain is insoluble in acid, alkaline, organic solvents and pretense etc. In the point of view, it is greater possibility that $\delta$-endotoxin will be transform into toxin by the reducible materials instead of the reaction of protease in the intestine.

• Bulletin of the Korean Mathematical Society
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• v.43 no.4
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• pp.831-839
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• 2006

By relaxing the requirements for a sequence of functions to be a delta sequence, a space of Boehmians on the torus ${\beta}(T^d)$ is constructed and studied. The space ${\beta}(T^d)$ contains the space of distributions as well as the space of hyperfunctions on the torus. The Fourier transform is a continuous mapping from ${\beta}(T^d)$ onto a subspace of Schwartz distributions. The range of the Fourier transform is characterized. A necessary and sufficient condition for a sequence of Boehmians to converge is that the corresponding sequence of Fourier transforms converges in $D'({\mathbb{R}}^d)$.

• Korean Security Journal
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• no.61
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• pp.377-400
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• 2019

Photography is the most commonly used method of documenting the crime and incident scene as it helps maintaining chain of custody (COC) and prove integrity of the physical evidence. It can also capture phenomena as they are. However, digital images can be manipulated and lose their authenticity as admissible evidence. Thus only limited techniques can be used to enhance images, and one of them is Fourier transform. Fourier transform refers to transformation of images into frequency signals. Fast Fourier transform (FFT) is used in this study. In this experiment, we overlapped fingerprints with graph paper or other fingerprints and separated the fingerprints. Then we evaluated and compared quality of the separated fingerprints to the original fingerprints, and examined whether the two fingerprints can be identified as same fingerprints. In the case of the fingerprints on graph paper and general pattern-overlapping fingerprints, fingerprint ridges are enhanced. On the other hand, in case of separating complicated fingerprints such as core-to-core overlapping and delta-to-delta overlapping fingerprints, quality of fingerprints can be deteriorated. Quality of fingerprints is known to possibly bring negative effects on the credibility of examiners. The result of this study may be applicable to other areas using digital imaging enhancement technology.

• Proceedings of the KIEE Conference
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• 2002.11c
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• pp.577-580
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• 2002

본 논문에서는 $\Sigma\Delta$ 변조된 입력신호를 갖는 적응필터의 수렴특성 및 연산량을 향상시키는 방안을 제시하였다. 하드웨어측면에서 효율적인 해상도를 내는 $\Sigma\Delta$ 변조기는 중저파 대역의 신호를 처리하는데 널리 사용되고 있다. $\Sigma\Delta$ 변조신호는 항상 $\pm$1의 값만을 갖기 때문에, 사인알고리즘을 사용하는 적용필터와 효율적으로 결합될 수 있다. 하지만 PCM 신호에 비하여 $\Sigma\Delta$ 변조신호의 상대적인 길이가 길어 이를 처리하는 적응필터의 길이가 증가하고 이에 따른 연산량도 증가하고, 아울러 사인 알고리즘 자체가 갖는 수렴속도의 문제점 때문에 이러한 결합은 불안정한 수렴 특성을 보이게 된다. 본 연구에서는 $\Sigma\Delta$ 변조된 입력신호에 대하여 웨이블릿 변환을 적용한 변환영역 적응필터를 설계하였으며, 필터계수의 일부분만을 주기적으로 갱신함으로써 연산량을 줄이는 방안과 수렴속도의 향상됨을 시스템 식별의 응용 예를 통하여 검증하였다.

• Proceedings of the KIEE Conference
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• 2002.07d
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• pp.2586-2588
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• 2002

본 논문에서는 $\Sigma\Delta$ 변조된 입력신호를 갖는 적응필터의 수렴특성을 연구하여 향상 방안을 제시하였다. 하드웨어적인 측면에서 효율적인 해상도를 내는 $\Sigma\Delta$ 변조기는 중저주파 대역의 신호를 처리하는데 널리 사용되고 있다. $\Sigma\Delta$ 변조신호는 항상 $\pm1$의 값만을 갖기 때문에, 사인 알고리즘을 사용하는 적응필터와 효율적으로 결합될 수 있다. 하지만, PCM 신호에 대비하여 $\Sigma\Delta$ 변조 신호의 상대적인 길이가 길어 이를 처리하는 적응필터의 길이가 증가하고, 아울러 사인 알고리즘 자체가 갖는 수렴속도의 문제점 때문에 이러한 결합은 불안정한 수렴 특성을 보이게 된다. 본 연구에서는 $\Sigma\Delta$ 변조된 입력신호에 대하여 웨이블릿 변환을 적용한 변환영역 적응필터를 설계하였으며, 수렴속도가 향상됨을 시스템 식별의 응용예를 통하여 검증하였다.

• Journal of the Institute of Convergence Signal Processing
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• v.8 no.3
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• pp.178-184
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• 2007

The EEG signal in general can be categorized as the Alpha wave, the Beta wave, the Theta wave, and the Delta wave. The alpha wave, showed in stable state, is the dominant wave for a human EEG and the beta wave displays the excited state. The subject of this paper was to recognize the stable state of EEG quantitatively using wavelet transform and power spectrum analysis. We decomposed EEG signal into the alpha wave and the beta wave in the process of wavelet transform, and calculated each power spectrum of EEG signal, using Fast Fourier Transform. And then we calculated the stable state quantitatively by stable state ratio, defined as the power spectrum of the alpha wave over that of the beta wave. The study showed that it took more than 10 minutes to reach the stable state from the normal activity in 69 % of the subjects, 5 -10 minutes in 9%, and less than 5 minutes in 16 %.