• Title/Summary/Keyword: closed-form expression

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Closed-form Expression for the Symbol Error Probability of Orthogonal Space-Time Block Codes with Quadrature Amplitude Modulation (QAM 변조방식을 갖는 직교 시공간 블록 부호의 심볼 오율)

  • 김상효;강익선;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.6C
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    • pp.561-569
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    • 2003
  • In this paper, for my linear orthogonal space-time block including the orthogonal space-time codes introduced by Alamouti[1], Tarokh[14], and Xia[11], the exact expression for the pairwise error probability in the slow Rayleigh fading channel is derived in terms of the message symbol distance between two message vectors rather than the codeword symbol distance between two transmitted codeword matrices. Using the one-dimensional component symbol error probability, the exact closed form expressions for the symbol error probability of linear orthogonal space-time codes are derived for QPSK, 16-QAM, 64-QAM, and 256-QAM.

The Closed-form Expressions of Magnetic Gradient Tensor due to a Circular Cylinder (원통형 이상체에 의한 자력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.23 no.2
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    • pp.67-71
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    • 2020
  • In this study, we derive closed-form expressions of magnetic gradient tensor due to a circular cylinder. Because the expression for magnetic field has been derived in a previously conducted study, expressions are developed for the magnetic gradient tensor based on the derivatives of the expressions of magnetic field with respect to the variables of the Cartesian coordinates. Furthermore, expressions are derived for the magnetic gradient tensor based on the relations between the Cartesian and cylindrical coordinates in the derivative because the expression for magnetic field contains variables of cylindrical coordinates owing to its axial symmetry.

An Interference Analysis Method with Site-Specific Path Loss Model for Wireless Personal Area Network

  • Moon, Hyun-Wook;Kwon, Se-Woong;Lee, Jong-Hyun;Yoon, Young-Joong
    • Journal of electromagnetic engineering and science
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    • v.10 no.4
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    • pp.290-295
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    • 2010
  • In this paper, an interference analysis method with a site-specific path loss model for a wireless personal area network (WPAN) is proposed. The site-specific path loss model is based on geometrical optics and geometric probability to consider both site-specific radio propagation characteristics and a closed-form expression to obtain the mean interference from which the uniformly distributed multiple interferers are derived. Therefore, the proposed interference analysis method can achieve more computational simplicity than the Monte-Carlo (MC) simulation, which uses the ray-tracing (RT) technique. In addition, better accuracy than the conventional interference analysis model that uses stochastic method can also be achieved. To evaluate the proposed method, a signal to the interference-noise ratio with a mean interference concept for uniformly distributed interferers is calculated and compared in two simulation scenarios. As a result, the proposed method produces not only better matched results with the MC simulation using the RT technique than the conventional interference analysis model, but also simpler and faster calculation, which is due to the site-specific path loss model and closed-form expression for interference calculation.

Bit Error Rate of Generalized Triangular QAM (일반화된 TQAM의 비트 오류 확률)

  • Cho, Kyongkuk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.5
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    • pp.229-236
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    • 2014
  • Quadrature Amplitude Modulation (QAM) is widely used in contemporary wired and wireless communications systems. In this paper, I propose a generalized triangular quadrature amplitude modulation (gTQAM) that includes the square quadrature amplitude modulation (SQAM), TQAM, and ${\Theta}$-QAM as special cases. Therefore, the proposed gTQAM forming a lattice of arbitrary triangles provides a versatile structure in signal constellations compared to other QAM schemes. For M-ary gTQAM, I derive an exact closed-form expression for the bit error rate (BER), and present the optimal signal constellations for given SNR values from the derived BER expression. Finally, I validate the derived BER results through computer simulations.

Performance Analysis of Arbitrary Rectangular QAM over Nakagami Fading Channels with MRC in the Presence of Co-channel Interference (동일 채널 간섭이 존재하는 나카가미 채널에서 임의 직사각 QAM 신호의 MRC 다이버시티 수신 성능)

  • 현광민;윤동원;박상규
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.3A
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    • pp.257-265
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    • 2004
  • General closed-form expression is derived and analyzed for the exact bit error rate (BER) performance of the arbitrary rectangular Gray coded QAM signal in conjunction with maximal-ratio combining (MRC) diversity on frequency non-selective slow m-distributed Nakagami fading channel in the presence of co-channel interference. Numerical results demonstrate error performance improvement with the use of MRC diversity reception. The new expressions presented here are suitable for evaluating various cases of practical interest on wireless communication channels.

Performance analysis of large-scale MIMO system for wireless backhaul network

  • Kim, Seokki;Baek, Seungkwon
    • ETRI Journal
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    • v.40 no.5
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    • pp.582-591
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    • 2018
  • In this paper, we present a performance analysis of large-scale multi-input multi-output (MIMO) systems for wireless backhaul networks. We focus on fully connected N nodes in a wireless meshed and multi-hop network topology. We also consider a large number of antennas at both the receiver and transmitter. We investigate the transmission schemes to support fully connected N nodes for half-duplex and full-duplex transmission, analyze the achievable ergodic sum rate among N nodes, and propose a closed-form expression of the achievable ergodic sum rate for each scheme. Furthermore, we present numerical evaluation results and compare the resuts with closed-form expressions.

Designof asymmetrical coupled microstrip directional coupler on composite dielectric substrates (복합 유전체기판상에 비대칭 결합 마이크로스트립 방향성 결합기의 설계)

  • 문승찬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.9
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    • pp.1949-1956
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    • 1997
  • The mode parameters of asymmetrical coupled microstrip lines on composite substrates are derived by using closed form expression. A 10 dB directional couplers, where the center frquency is 1.8 GHZ, are fabricated on a single-layer substrate and on compsite substrates respectively. It is shown that coupler on a single-layer substrate.

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A Modeling and Numerical Simulation of Treshold Voltage for Short Channel MOSFET (단 채널 MOSFET의 문턱 전압 모델링과 수치계산)

  • 강정진;이종악
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.1
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    • pp.9-14
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    • 1990
  • In this paper, I derived a two-dimensional analytical closed-form expression of the threshold voltage for small size MOSFET. The invalid assumptions of constant surface portential or uniform depletion depth were corrected. A comparison between the results of pre-models analyses and the present's proved that this paper's model is quite accurate. Therefore, this model will become a useful design tool for short channel MOSFET.

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Performance Analysis of Generalized Triangular QAM (일반화된 Triangular QAM의 성능 분석)

  • Cho, Kyong-Kuk;Lee, Jae-Yoon;Yoon, Dong-Weon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.11C
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    • pp.885-888
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    • 2010
  • It is known that triangular QAM with triangular signal constellations gets better SER gain than square QAM with rectangular signal constellations. In the paper, we propose an exact and general closed-form expression of the probability of symbol error for generalized TQAM, which has been currently researched. We verify that the simulation is consistent with the derived equation of generalized TQAM. And, we also suggest the optimal signal constellation schemes for generalized TQAM at given SNR values.

EVALUATION MODEL FOR RESTRAINT EFFECT OF PRESSURE INDUCED BENDING ON THE PLASTIC CRACK OPENING OF A CIRCUMFERENTIAL THROUGH-WALL CRACK

  • Kim, Jin-Weon
    • Nuclear Engineering and Technology
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    • v.39 no.1
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    • pp.75-84
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    • 2007
  • This paper presents a closed-form model for evaluating the restraint effect of pressure induced bending on the opening of a circumferential through-wall crack, which is considered plastic deformation behavior. Three-dimensional finite element analyses with different crack lengths, restraint conditions, pipe geometries, magnitudes of internal pressure, and tensile properties were used to investigate the influence of each parameter on the pressure-induced bending restraint on the crack opening displacement. From these investigations, an analytical model based on elastic-perfectly plastic material was developed in terms of the crack length, symmetric restraint length, mean radius to thickness ratio, axial stress corresponding to the internal pressure, and normalized crack opening displacement evaluated from a linear-elastic crack opening condition. Finite element analyses results demonstrate that the proposed analytical model reliably estimated the restraint effect of pressure-induced bending on the plastic crack opening of a circumferential through-wall crack and properly reflected the dependence on each parameter within the range over which the analytical expression was derived.