• Journal of applied mathematics & informatics
• /
• 제41권1호
• /
• pp.83-93
• /
• 2023

We would like to consider Laplace transform of the form of fg, the form of product, and applies it to Burger's equation in general case. This topic has not yet been addressed, and the methodology of this article is done by considerations with respect to several approaches about the transform of the form of f g and the mean value theorem for integrals. This paper has meaning in that the integral transform method is applied to solving nonlinear equations.

• Journal of Electrical Engineering and information Science
• /
• 제1권2호
• /
• pp.125-133
• /
• 1996

In this paper, we dicuss on the properties related to the circular filtering in orthogonal transform domain. The efficient filtering schemes in six orthogonal transform domains are presented by generalizing the convolution-multiplication property of the DFT. In brief, the circular filtering can be accomplished by multiplying the transform domain filtering matrix W, which is shown to be very sparse, yielding the computational gains compared with the time domain processing. As an application, decimation and interpolation techniques in orthogonal transform domains are also investigated.

• Nonlinear Functional Analysis and Applications
• /
• 제28권4호
• /
• pp.1069-1086
• /
• 2023

The natural transform is represented by two (p, q)-analogues, and their comparative characteristics are established. To resolve some (p, q)-difference and functional equations, applications are carried out.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 1998년도 추계종합학술대회 논문집
• /
• pp.943-946
• /
• 1998

In this paper, we applied FFT to PCB Images, cutting unnecessary singals and noise, moving the starting point to center of image and used rotaion transform. from the detected edge Hough Transform identify the length, but not the angle, so we matched PCB images with using rotation transform to identify length and angle. After rotation transform we employ Least Squared Method to exact stereo matching.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 2002년도 ICCAS
• /
• pp.86.4-86
• /
• 2002

1. Review of one dimensional M-transform 2. Definition of two dimensional(2D)M-transform 3. Properties of 2D M-transform 4. Mean, Autocorrelation 5. Crosscorrelation of input and output of a system 6. Application to fault detection of mechanical shape

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2003년도 신호처리소사이어티 추계학술대회 논문집
• /
• pp.409-412
• /
• 2003

In this paper, the encoder architecture of 3-D wavelet transform based on lifting scheme is designed. Architecture, here, 3 level wavelet transform for spatial decomposition and 2 level wavelet transform for temporal decomposition is adopted with efficient computation.

• 충청수학회지
• /
• 제29권1호
• /
• pp.123-135
• /
• 2016

In this article, we introduce the transforms of Pythagorean and quadratic means of weighted shifts. We then explore how the transforms of weighted shifts behaves, in comparison with the Aluthge transform.

• Journal of the Optical Society of Korea
• /
• 제4권1호
• /
• pp.54-57
• /
• 2000

Introducing left and right fractional orders separately, we show that the cascading of optical extended fractional Fourier transform systems can be easily calculated. Through such calculations we study the properties of extended fractional Fourier transforms.

• Nonlinear Functional Analysis and Applications
• /
• 제26권1호
• /
• pp.105-115
• /
• 2021

Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a(x, y) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.

• 대한수학회논문집
• /
• 제36권3호
• /
• pp.485-494
• /
• 2021

In this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the Laplace (𝓛) transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.