• Title/Summary/Keyword: N-transform

Search Result 714, Processing Time 0.037 seconds

Generalized Bent Functions Constructed From Partial Spreads (Partial Spread를 이용한 일반화된 Bent함수)

  • Kim, Sunghwan;Gil, Gang-Mi;Kim, Kyung-Hee;No, Jong-Seon
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
    • /
    • 2001.11a
    • /
    • pp.121-126
    • /
    • 2001
  • In this paper, for n = 2m and odd prime p, new generalized bent functions from the finite field F$\_$p$^n$/ to the prime field F$\_$p/ are constructed from the partial spreads for F$\_$p$^n$/. Closed form expressions for the proposed generalized bent functions and their trace transform are derived in the form of the trace functions. The trace expressions for the bent functions and their trace transforms defined on F(equation omitted) constructed by using PS- are also derived.

  • PDF

Translation invariant and positive definite bilinear fourier hyperfunctions

  • Jaeyoung Chung;Chung, Soon-Yeong;Kim, Dohan
    • Bulletin of the Korean Mathematical Society
    • /
    • v.33 no.4
    • /
    • pp.545-551
    • /
    • 1996
  • It is well known in the theory of distributions and proved in [GS, S] that $$ (i) (Bochner-Schwartz) Every positive definite (tempered) distribution is the Fourier transform of a positive tempered measure \mu. $$ $$ (ii) (Schwartz kernel theorem) Let B(\varphi, \psi) be a bilinear distribution. Then for some u \in D'(R^n \times R^n) B(\varphi, \psi) = u(\varphi(x)\bar{\psi}(y)) for every \varphi, \psi \in C_c^\infty. $$ $$ (iii) A translation invariant positive definite bilinear distribution B(\varphi, \psi) is of the form B(\varphi, \psi) = \smallint \varphi(x)\psi(x) d\mu(x) for every \varphi, \psi \in C_c^\infty (R^n), where \mu is a positive tempered measure.

  • PDF

Using Wavelet Transforms or Characteristic Points Extraction and Noise Reduction of ECG Signal (ECG신호의 잡음제거와 특징점 검출을 위한 웨이브렛 변환의 적용)

  • Jang, D.B.;Lee, S.M.;Shin, T.M.;Lee, G.K.;Kim, N.H.
    • Proceedings of the KOSOMBE Conference
    • /
    • v.1997 no.11
    • /
    • pp.435-438
    • /
    • 1997
  • One of the main techniques or diagnosing heart disease is by examining the electrocardiogram(ECG). Many studies on detecting the QRS complex, P, and T waves have been performed because meaningful information is contained in these parameters. However, the earlier detecting techniques can not effectively extract those parameters from the ECG that is severely contaminated by noise source such 60Hz powerline interference, motion artifact and baseline drift. in this paper, we performed the extracting parameters from and recovering the ECG signal using wavelet transform that has recently been applying to various fields.

  • PDF

ON THE CONVOLUTION OF EXPONENTIAL DISTRIBUTIONS

  • Akkouchi, Mohamed
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.21 no.4
    • /
    • pp.501-510
    • /
    • 2008
  • The distribution of the sum of n independent random variables having exponential distributions with different parameters ${\beta}_i$ ($i=1,2,{\ldots},n$) is given in [2], [3], [4] and [6]. In [1], by using Laplace transform, Jasiulewicz and Kordecki generalized the results obtained by Sen and Balakrishnan in [6] and established a formula for the distribution of this sum without conditions on the parameters ${\beta}_i$. The aim of this note is to present a method to find the distribution of the sum of n independent exponentially distributed random variables with different parameters. Our method can also be used to handle the case when all ${\beta}_i$ are the same.

  • PDF

Atomic Layer Deposition of TaC gate electrode with TBTDET

  • Jo, Gi-Hui;Lee, Si-U
    • Proceedings of the Materials Research Society of Korea Conference
    • /
    • 2009.05a
    • /
    • pp.22.1-22.1
    • /
    • 2009
  • 차세대 CMOS 공정에서 유전상수가 높은 게이트 절연막과 함께 게이트 전극이 관심을 끌고 있다. 게이트 전극은 전도도가 높아야 하고 p-MOS, n-MOS에 맞는 일함수를 가져야 하며 열적 특성이 안정해야 한다. 탄탈룸 계열 탄화물이나 질화물은 게이트 전극으로 관심을 끌고 있는 물질이며 이를 원자층 화학증착법으로 박막화 하는 공정이 관심을 끌고 있다. 원자층 화학공정에서는 전구체의 역할이 중요하며 이의 기상반응 메카니즘, 표면 반응 메카니즘을 제대로 이해해야 한다. 본 연구에서는 TBTDET (tert-butylimido tris-diethylamido tantalum) 전구체의 반응 메커니즘을 FTIR(Fourier Transform Infrared)을 이용해 진단하였다. 또한 수소, 암모니아, 메탄을 이용한 열화학 원자층 증착, 플라즈마 원자층 증착 공정을 수행하여 박막을 얻고 이들의 특성을 평가하였다. 각 공정에 따라 반응 메커니즘이 달라지고 박막의 조성이 달라지며 또한 박막의 물성도 달라진다. 특히 박막에 형성되는 TaC, TaN, Ta3N5, Ta2O5 (증착 후 산소의 유입에 의해 형성됨) 등의 조성이 공정에 따라 달라지며 박막의 물성도 달라진다. 반응메카니즘의 연구를 통해 각 공정에서 어떠한 조성의 박막이 얻어지는 지를 규명하였고 박막의 밀도에 따라 산소유입량이 어떻게 달라지는 지를 규명하였다.

  • PDF

Miscibility in Binary Blends of Poly(vinyl phenol) and Poly(n-alkylene 2,6-naphthalates)

  • Lee, Joon-Youl;Han, Ji-Young
    • Macromolecular Research
    • /
    • v.12 no.1
    • /
    • pp.94-99
    • /
    • 2004
  • We have performed Fourier transform infrared (FTIR) spectroscopy and differential scanning calorimetry (DSC) studies on blends of poly(vinyl phenol) (PVPh) with poly(n-alkylene 2,6-naphthalates) containing alkylene units of different lengths. The results indicate that each poly(ethylene 2,6-naphthalate) (PEN) and poly(trimethylene 2,6-naphthalate) (PTN) blend with PVPh is immiscible or partially miscible, but blends of poly(butylene 2,6-naphthalate) (PBN) with PVPh are miscible over the whole range of compositions in the amorphous state. FTIR spectroscopic analysis confirmed that significant degree of intermolecular hydrogen bonding occurs between the PBN ester carbonyl groups and the PVPh hydroxyl groups. The large difference in the degree of mixing in these blend systems is described in terms of the effect that chain mobility has on the accessibility of the ester carbonyl functional groups toward the hydroxyl groups of PVPh, which in turn impacts the miscibility of these blends.

Voltage Comparison-type TCSC Using Recursive Discrete Fouier Transform (순차 프리에 변환(DFT)를 이용한 전압비교형 TCSC TCSC(Thyristor Control led Series Compensation))

  • Ko, S.K.;Park, S.Y.;Park, J.K.
    • Proceedings of the KIEE Conference
    • /
    • 1993.07a
    • /
    • pp.79-81
    • /
    • 1993
  • We have proposed a new technology compensating reactance component of line and load. Because capacity of SC is static, it is not appropriate to varing reactance and causes SSR problems. TCSC is introduced for the flecxible control of reactance of SC. If SC voltage is varied when the capacitor current is constant, it can be considered that capacity of SC was varied. SO capacity of SC can be controlled by controlling the voltage of SC. Control reference voltage of SC can be obtained from the condition that sum of reactive powers in all parts is zero.

  • PDF

LOW-DRER $H_\infty$ CONTROLLERS WITH THE MIXWED SENSITIVITY PROBLEMS

  • Qi, Run-De;Tsuji, Teruo
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1994.10a
    • /
    • pp.455-460
    • /
    • 1994
  • This paper presents a simple methodology for reducing the order of H$_{\infty}$ controllers in the mixed sensitivity control problems. The key point of this methodology is to transform the generalized plant expression to new one, where the control object and the weighting functions for the sensitivity function may have some poles on the imaginary axis. So that, this methodology makes it possible to use the standard method to solve the general H$_{\infty}$ design problems about the mixed sensitivity problems, even for a servo system or a oscillatory system. We derive that the order of H$_{\infty}$ controllers designed by this methodology may be reduced to n$_{p}$ where n$_{p}$ is the order of the denominator of the control object. It is clear that n$_{p}$ is lower than n$_{p}$ + n$_{s}$, which is the order of H$_{\infty}$ controllers obtained by the ordinary H$_{\infty}$ design method up to now, where n$_{s}$ is the order of the denominator of the weighting function for sensitivity. Finally, a numerical example is given to illustrate the results..lts.ts..lts.lts.

  • PDF

The Improvement in Signal Integrity of FT-ICR MS (FT-ICR 질량분석기의 신호 충실성 향상)

  • Kim, Seung-Yong;Kim, Seok-Yoon;Kim, Hyun Sik
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.60 no.1
    • /
    • pp.201-204
    • /
    • 2011
  • For efficient noise reduction in a Fourier transform ion cyclotron resonance (FT-ICR) mass spectrum, a new algorithm was proposed. The suggested algorithm reduces white and electrical noise, and it improves signal-to-noise ratio. This algorithm has been optimized to reduce the noise more efficiently using the traces of signal level. The algorithm has been efficiently combined with derivative window to improve the resolution as well S/N. Time domain data was corrected for DC voltage interference. $t^n$ window was applied in time domain data to improved the resolution. However, $t^n$ window can improve the signal resolution, it will also increase the noise level in frequency domain. Therefore, newly developed noise reduction algorithm will be applied to make a balance between resolving power and S/N ratio for magnitude mode. The trace algorithm can determine the current data point with several data points (mean, past data, calculated past data). In the current calculations, we assumed data points with S/N ratio more than 3 were considered as signal data points. After the windowing and noise reduction, both resolution and signal-to-noise ratio were improved. This algorithm is applicable more efficiently to frequency dependent noise and large size data.

The structure and optical properties of n-type and p-type porous silicon (n-type과 p-type 다공성 실리콘의 구조와 광학적 특성에 관한 연구)

  • 박현아;오재희;박동화;안화승;태원필;이종무
    • Journal of the Korean Vacuum Society
    • /
    • v.12 no.4
    • /
    • pp.257-262
    • /
    • 2003
  • The structure and optical properties of n-type and p-type porous silicon (PS) prepared by the chemical etching in the light and the dark, respectively, are reported in this paper. Microstructural features of the samples are mainly investigated by SEM, AFM XRDGI techniques. Also, their optical properties are investigated by photoluminescence (PL) and Fourier transform infrared absorption measurements. In the n-type PS, the room temperature photoluminescence is observed in a visible range from 500 nm to 650 nm in contrast to that in the blue region (400∼650 nm) in p-type PS. Further, semi-transparent Cu films in thickness range of ∼40 nm are deposited by rf-magnetron sputtering on PS to investigate the I-V characteristics of the samples.