• Title/Summary/Keyword: n-harmonic

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Age-related Changes of the Finger Photoplethysmogram in Frequency Domain Analysis (연령증가에 따른 지첨용적맥파의 주파수 영역에서의 변화)

  • Nam, Tong-Hyun;Park, Young-Bae;Park, Young-Jae;Shin, Sang-Hoon
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.12 no.1
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    • pp.42-62
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    • 2008
  • Objectives: It is well known that some parameters of the photoplethysmogram (PPG) acquired by time domain contour analysis can be used as markers of vascular aging. But the previous studies that have been performed for frequency domain analysis of the PPG to date have provided only restrictive and fragmentary information. The aim of the present investigation was to determine whether the harmonics extracted from the PPG using a fast Fourier transformation could be used as an index of vascular aging. Methods: The PPG was measured in 600 recruited subjects for 30 second durations, To grasp the gross age-related change of the PPG waveform, we grouped subjects according to gender and age and averaged the PPG signal of one pulse cycle. To calculate the conventional indices of vascular aging, we selected the 5-6 cycles of pulse that the baseline was relatively stable and then acquired the coordinates of the inflection points. For the frequency domain analysis we performed a power spectral analysis on the PPG signals for 30 seconds using a fast Fourier transformation and dissociated the harmonic components from the PPG signals. Results: A final number of 390 subjects (174 males and 216 females) were included in the statistical analysis. The normalized power of the harmonics decreased with age and on a logarithmic scale reduction of the normalized power in the third (r=-0.492, P<0.0001), fourth (r=-0.621, P<0.0001) and fifth harmonic (r=-0.487, P<0.0001) was prominent. From a multiple linear regression analysis, Stiffness index, reflection index and corrected up-stroke time influenced the normalized power of the harmonics on a logarithmic scale. Conclusions: The normalized harmonic power decreased with age in healthy subjects and may be less error prone due to the essential attributes of frequency domain analysis. Therefore, we expect that the normalized harmonic power density can be useful as a vascular aging marker.

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DFT Study for the Thermodynamic Stability and Binding Energeticsof SnOn, SnO2n, SnO3n (n = 1~4) (SnOn, SnO2n, SnO3n (n = 1~4)의 열역학적 안정성과 결합에너지에 대한 DFT 이론 연구)

  • Kim, Si-Jo;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.53 no.5
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    • pp.512-520
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    • 2009
  • The theoretical calculations for $S_nO_n,\;S_nO_{2n},\;S_nO_{3n}\;(n\;=\;1{\sim}4)$ have been considered at the B3LYP level of theory with various basis sets. The optimized geometries, harmonic vibrational frequencies, and binding energies are evaluated to elucidate the thermodynamic stability and spectroscopic properties. The harmonic vibrational frequencies for the molecules considered in this study show all real numbers implying true minima. The binding energies due to increasing of $S_nO_n,\;S_nO_{2n},\;S_nO_{3n}$ monomers are calculated at the MP2/6-311G** level of theory. For $S_nO_n\;(n\;=\;1{\sim}4)$, the binding energy difference is about 20∼25 kcal/mol by adding SO monomer. For $SO_2\;and\;SO_3\;(n\;=\;1{\sim}4)$, the binding energy differences are relatively small by comparing to $S_nO_n$.

Theoretical Approach for the Structures, Energetics and Spectroscopic Properties of (H2O3)n (n = 1-5) Clusters

  • Seo, Hyun-Il;Bahng, Jin-Ah;Kim, Yeon-Cheol;Kim, Seung-Joon
    • Bulletin of the Korean Chemical Society
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    • v.33 no.9
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    • pp.3017-3024
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    • 2012
  • The geometrical parameters, vibrational frequencies, and binding energies for $(H_2O_3)_n$ (n = 1-5) have been investigated using various quantum mechanical techniques. The possible structures of the clusters (n = 2-5) are fully optimized and the binding energies are predicted using energy differences at each optimized geometry. The harmonic vibrational frequencies are also determined and zero-point vibrational energies (ZPVEs) are considered for the better prediction of the binding energy. The best estimation of the binding energy for the dimer is 8.65 kcal/mol. For n = 2 and 3, linear structures with all trans forms of the HOOOH monomers are predicted to be the lowest conformations in energy, while the cyclic structures with all cis-HOOOH monomers are preferable structures for n = 4 and 5.

ON HARMONICITY IN A DISC AND n-HARMONICITY

  • Lee, Jae-Sung
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.815-823
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    • 2010
  • Let ${\tau}\;{\neq}\;\delta_0$ be either a power bounded radial measure with compact support on the unit disc D with $\tau(D)\;=\;1$ such that there is a $\delta$ > 0 so that ${\mid}\hat{\tau}(s){\mid}\;{\neq}\;1$ for every $s\;{\in}\;\Sigma(\delta)$ \ {0,1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {$h\;{\in}\;L^{\infty}(D)\;{\mid}\;lim_{n{\rightarrow}{\infty}}\;h\;*\;\tau^n$ exists}. Let $\tau_1$, ..., $\tau_n$ be measures on D with above mentioned properties. Here, we prove that if $f\;{in}\;L^{\infty}(D^n)$ satisfies an invariant volume mean value property with respect to $\tau_1$, ..., $\tau_n$, then f is n-harmonic.

Design of a GaN HEMT 4 W Miniaturized Power Amplifier Module for WiMAX Band (WiMAX 대역 GaN HEMT 4 W 소형 전력증폭기 모듈 설계)

  • Jeong, Hae-Chang;Oh, Hyun-Seok;Heo, Yun-Seong;Yeom, Kyung-Whan;Kim, Kyoung-Min
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.2
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    • pp.162-172
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    • 2011
  • In this paper, a design and fabrication of 4 W power amplifier for the WiMAX frequency band(2.3~2.7 GHz) are presented. The adopted active device is a commercially available GaN HEMT chip of Triquint Company, which is recently released. The optimum input and output impedances are extracted for power amplifier design using a specially self-designed tuning jig. Using the adopted impedances value, class-F power amplifier was designed based on EM simulation. For integration and matching in the small package module, spiral inductors and interdigital capacitors are used. The fabricated power amplifier with $4.4{\times}4.4\;mm^2$ shows the efficiency above 50 % and harmonic suppression above 40 dBc for second(2nd) and third(3rd) harmonic at the output power of 36 dBm.

A New Method for Measuring the Distortions of the Loudspeaker at Low Frequencies (스피커의 저주파 대역 왜곡 측정의 새로운 기법)

  • 두세진
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1993.06a
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    • pp.68-72
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    • 1993
  • A method to measure the distortions of the loudspeaker at low frequencies without an anechoic chamber is proposed. This method utilizes the fact that the n-th harmonic distortion outside the enclosure is boosted by 40log n dB compared to that inside the enclosure. By compensating for the effect of standing waves occuring inside the enclosure, it is possible to predict the distortions for wide frequency ranges below the first break-up frequency of the diaphragm. The method is applicable to the intermodulation distortion as well.

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Microstepping drive of 3 phase multi-stack VR type step motor (3상 VR 형 스텝 모터의 미세스텝 구동 특성에 관한 연구)

  • Lee, Sung-Joo;Won, Jong-Su
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.21-23
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    • 1988
  • Microstepping drive of 3 phase VR step motor with 2 phase exciting scheme is proposed. Considering the presence of harmonic components of inductance, the current reference is calculated. The experimental results show high accuracy of divided step position and resonance or instability in operating range.

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ON THE CONTINUITY OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTION

  • Park, Young Ja
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.43-46
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    • 2018
  • It is concerned with the continuity of the Hardy-Little wood maximal function between the classical Lebesgue spaces or the Orlicz spaces. A new approach to the continuity of the Hardy-Littlewood maximal function is presented through the observation that the continuity is closely related to the existence of solutions for a certain type of first order ordinary differential equations. It is applied to verify the continuity of the Hardy-Littlewood maximal function from $L^p({\mathbb{R}}^n)$ to $L^q({\mathbb{R}}^n)$ for 1 ${\leq}$ q < p < ${\infty}$.

REGULARITY OF THE SCHRÖDINGER EQUATION FOR A CAUCHY-EULER TYPE OPERATOR

  • CHO, HONG RAE;LEE, HAN-WOOL;CHO, EUNSUNG
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.1-7
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    • 2019
  • We consider the initial value problem of the Schrodinger equation for an interesting Cauchy-Euler type operator ${\mathfrak{R}}$ on ${\mathbb{C}}^n$ that is an analogue of the harmonic oscillator in ${\mathbb{R}}^n$. We get an appropriate $L^1-L^{\infty}$ dispersive estimate for the solution of the initial value problem.

A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

  • Sumin Kim;Jongrak Lee
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.4
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    • pp.1019-1031
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    • 2024
  • In this paper we consider the sufficient condition for hyponormal Toeplitz operators T𝛗 with non-harmonic symbols $${\varphi}(z)=\sum_{\ell=1}^{k}{\alpha}_{\ell}z^{{m_{\ell}}{\bar{z}}n_{\ell}}$$ with m-n = δ > 0 for all 1 ≤ ℓ ≤ k, and α ∈ ℂ on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators T𝛗 according to the positional relationship of the coefficients α's.