• 제목/요약/키워드: Band-limited Function

검색결과 43건 처리시간 0.026초

A NOTE ON PROLATE SPHEROIDAL WAVE FUNCTIONS AND PROLATE FUNCTION BASED NUMERICAL INVERSION METHODS

  • Kim, Eun-Joo;Lee, June-Yub
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제12권1호
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    • pp.41-53
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    • 2008
  • Polynomials are one of most important and widely used numerical tools in dealing with a smooth function on a bounded domain and trigonometric functions work for smooth periodic functions. However, they are not the best choice if a function has a bounded support in space and in frequency domain. The Prolate Spheroidal wave function (PSWF) of order zero has been known as a best candidate as a basis for band-limited functions. In this paper, we review some basic properties of PSWFs defined as eigenfunctions of bounded Fourier transformation. We also propose numerical inversion schemes based on PSWF and present some numerical examples to show their feasibilities as signal processing tools.

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Hadamard 변환과 위상 천이를 이용한 OFDM 시스템의 PAPR 감소 기법 (PAPR reduction algorithm using Hadamard transform and phase shift in OFDM systems)

  • 구현철
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(1)
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    • pp.233-236
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    • 2001
  • Orthogonal freqency division multiplexing (OFDM) is an attractive technique for achieving high-bit-rate wireless data transmission. However, the potentially large peak-to-average power ratio (PAPR) has limited its application; An OFDM signal with the large PAPR can cause power degradation (In-band distortion) and spectral spreading (Out-of-band distortion) by being clipped passing through a power amplifier. Thus, we propose the combining algorithm of Hadamard transform and phase shift, which is ascribed to the relation between the correlation of the IFFT input sequence function and PAPR. Extensive computer simulations show that the combining algorithm is an effective technique to reduce PAPR.

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Hybrid L1/L2 를 이용한 주파수 영역 탄성파 파형역산 (Robust seismic waveform inversion using backpropagation algorithm)

  • 정우근;하태영;신창수
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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    • pp.124-129
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    • 2007
  • For seismic imaging and inversion, the inverted image depends on how we define the objective function. ${\ell}^1$-norm is more robust than ${\ell}^2$-norm. However, it is difficult to apply the Newton-type algorithm directly because the partial derivative for ${\ell^1$-norm has a singularity. In our paper, to overcome the difficulties of singularities, Huber function given by hybrid ${\ell}^1/{\ell}^2$-norm is used. We tested the robustness of our new object function with several noisy data set. Numerical results show that the new objective function is more robust to band limited spiky noise than the conventional object function.

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새로운 다단계 복소 활성 함수를 이용한 신경회로망에 의한 M-ary QAM 신호의 적응 등화 (Neural adaptive equalization of M-ary QAM signals using a new activation function with a multi-saturated output region)

  • 유철우;홍대식
    • 전자공학회논문지C
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    • 제35C권1호
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    • pp.42-54
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    • 1998
  • For decreasing intersymbol interference (ISI) due to band-limited channels in digitalcommunication, the uses of equalization techniques are necessary. Among the useful adaptive equalization techniques, because of their ease of implementation and nonlinear capabilites, the neural networks have been used as an alternative for effectively dealing with the channel distortion. In this paepr, a complex-valued multilayer percepron is proposed as a nonlinear adaptive equalizer. After the important properties that a suitable complex-valued activation function must possess are discussed, a new complex-valued activation function is developed for the proposed schemes to deal with M-ary QAM signals of any constellation sizes. It has been further proven that by the nonlinear transformation of the proposed function, the correlation coefficient between the real and imaginary parts of input data decreases when they are jointly Gaussian random variables. Lastly, the effectiveness of the proposed scheme is demonstrated by simulations. The proposed scheme provides, compared with the linear equalizer using the least mean squares (LMS) algorith, an interesting improvement concerning Bit Error Rate (BER) when channel distortions are nonlinear.

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무선 메쉬 네트워크에서 장거리 전송을 위한 전력제어 시스템 구현 (Implementation of Power Control System for a Long Distance Transmission in Wireless Mesh Network)

  • 박태진;박만곤
    • 한국멀티미디어학회논문지
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    • 제10권4호
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    • pp.516-526
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    • 2007
  • 무선 메쉬 네트워크는 WLAN 기술뿐만 아니라, 센서 네트워크와의 연동을 통해 다양한 분야에 응용할 수 있으며, 유비쿼터스 네트워크 구현을 위한 핵심기술이라 할 수 있다. 그러나 WLAN은 ISM 대역을 전송 주파수 대역으로 사용하기 때문에, 최대 전력이 100mW로 제한된다. 최대 전력이 제한된 상황에서 WLAN기반의 메쉬 네트워크가 비용 효율적인 백본망의 역할을 수행하기 위해서는 장거리 전송을 위한 연구가 필수적이다. 따라서 본 논문에서는 실험 결과를 통해 무선 메쉬 네트워크 단점인 도달거리의 한계를 극복할 수 있는 방안을 제시하였으며 그 효과성을 보였다. 제안한 방법은 다양한 안테나의 적용 및 디바이스 드라이버의 함수 정의와 구현으로 장거리 전송과 전력효율을 높일 수 있었다.

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GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES

  • Shin, Chang-Eon
    • 대한수학회논문집
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    • 제17권4호
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    • pp.731-740
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    • 2002
  • We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f, that is, f is an entire function satisfying the following growth condition |f(z)|$\leq$ A exp($\sigma$|y|) for some A, $\sigma$ > 0 and any z=$\varkappa$ + iy∈C.

Further seismic displacement PSDF results

  • Morales, C.A.
    • Structural Engineering and Mechanics
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    • 제34권5호
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    • pp.663-666
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    • 2010
  • The spectral content of ground displacement of the 10 largest last California earthquakes is studied. Specifically, the power spectral density function of the critical horizontal-component record of the closest-to-epicenter station is analyzed in each case. The results permit to state that horizontal ground displacement is a narrow-band process. This fact was previously noticed while trying to solve the large-base-displacement problem in isolated structures and it was fundamental in the solution of this issue; however, these preliminary results were limited in number to enable a statement like the foregoing one. Thus, the broader results presented herein were necessary.

SPECT filter의 cut off level에 따른 반폭치(FWHM) 크기에 관한 연구 (A study of Full Width at Half Maximum(FWHM) according to the Filter's Cut off level in SPECT camera)

  • 박성옥;권수일
    • 대한방사선기술학회지:방사선기술과학
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    • 제26권2호
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    • pp.63-69
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    • 2003
  • 영상재구성에 있어 잡음(noise)을 제거하고 공간 분해능과 대조도 분해능을 향상시킬 수 있는 filter에서 cut off 주파수 level에 따라 영상의 질에 영향을 미치는 경향을 반폭치(FWHM : full width at half maximum)측정방법을 이용하여 비교하였다. 선택한 filter의 종류는 Band-limited, Sheep-logan, Sheep-logan Hanning, Generalized Hamming, Low pass cosine, Parazen, 그리고 Butterworth filter이다. SPECT 영상을 기록하기 위한 점선원(point source)으로 방사성의약품 $^{99m}TcO_4$을 이용하였으며 점선원에 대하여 각각의 filter에서 cut off 주파수 준위별로 영상을 기록하고 axial transverse, coronal sagittal... fh의 section image의 profile 곡선에서 반폭치을 측정하여 비교하였다. 본 연구에서 사용한 filter들에 있어서는 cut off level에 따라 X, Y, 그리고 Z축 방향으로의 평균 FWHM의 길이가 $9.16\;mm{\sim}18.14\;mm$까지 측정되었는데 cut off level 0.7에서 Generalized Hamming filter와 Band limited filter의 경우 9.16 mm로 반폭치의 길이가 제일 짧은 것으로 나타났다.

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A Lock-Time Improvement for an X-Band Frequency Synthesizer Using an Active Fast-Lock Loop Filter

  • Heo, Yun-Seong;Oh, Hyun-Seok;Jeong, Hae-Chang;Yeom, Kyung-Whan
    • Journal of electromagnetic engineering and science
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    • 제11권2호
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    • pp.105-112
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    • 2011
  • In phase-locked frequency synthesizers, a fast-lock technique is frequently employed to overcome the trade-off between a lock-time and a spurious response. The function of fast-lock in a conventional PLL (Phased Lock Loop) IC (Integrated Circuit) is limited by a factor of 16, which is usually implemented by a scaling of charge pumper, and consequently a lock time improvement of a factor of 4 is possible using the conventional PLL IC. In this paper, we propose a novel external active fast-lock loop filter. The proposed loop filter provides, conceptually, an unlimited scaling of charge pumper current, and can overcome conventional trade-off between lock-time and spur suppression. To demonstrate the validity of our proposed loop-filter, we fabricated an X-band frequency synthesizer using the proposed loop filter. The loop filter in the synthesizer is designed to have a loop bandwidth of 100 kHz in the fast-lock mode and a loop bandwidth of 5 kHz in the normal mode, which corresponds to a charge pumper current change ratio of 400. The X-band synthesizer shows successful performance of a lock-time of below 10 ${\mu}sec$ and reference spur suppression below -64 dBc.

무선통신기반 열차제어의 지상무선통신장치 안전요구사항 도출방안에 관한 연구 (Study on the safety requirements identification method of the Commuication Based Train Cotrol)

  • 이강미;신덕호;이재호
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 춘계학술대회 논문집
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    • pp.1023-1026
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    • 2007
  • CBTC (Communication Based Train Control) is a railroad system, using wireless communication for data transmission between on-board units and ground units, that makes ground computer periodically collect position and speed data from each train and transmits the preceding train's distance data up to speed limit point so as to make on-board control unit control the optimum train speed. Due to the fact that wireless communication system for train control employs only limited frequency band and output frequency, a number of ground communication units should be installed at track-side; also a running train should carry out Handover function which maintains the communication by accessing a new communication channel of the adjacent on-board communication units in accordance with the output of received radio wave. Especially CBTC is largely dependent on Handoff function between ground communication units. Therefore, this paper provides the method of identification of hazard between ground communication units and on board units.

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