• 한국통신학회논문지
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• 제31권3C
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• pp.237-244
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• 2006

본 논문에서는 2차원 결합 가우시안 Q-함수(Two-dimensional joint Gaussian Q-function)를 이용하여 AWGN(Additive White Gaussian Noise) 환경에서 M-PSK(M-ary Phase Shift Keying) 신호의 I/Q 위상 불균형(Phase unbalance) 존재 시 수치 적분이 필요 없는 정확하고 일반화된 closed-form 형태의 비트 오류율(Bit Error Rate) 표현을 유도한다. 새롭게 유도된 표현은 평균 BER 뿐만 아니라 k-번째 비트의 BER에 대하여도 일반화된 식으로 되어 있어 다양한 환경으로의 적용이 용이하여 M-PSK를 적용하는 많은 디지털 통신 시스템에서 복조 시 발생할 수 있는 I/Q 위상 불균형에 의한 시스템 성능 변화에 대하여 정확한 이론적 성능 기준을 제공할 것으로 기대된다.

• 한국통신학회논문지
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• 제32권9C호
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• pp.810-819
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• 2007

90도 위상 천이기나 필터와 같은 불완전한 시스템 요소에 의해 생성되는 I(inphase)축과 Q(quadrature)축 간의 불균형은 피할 수 없는 물리적 현상으로 동기 변/복조 시스템(coherent modulation/demodulation system) 구현에 있어서 성능 열화를 유발한다. 본 논문에서는 AWGN (additive white Gaussian noise) 채널 환경에서 수신기의 I/Q 불균형이 존재하는 경우, DVB(digital video broadcasting)-S2 시스템에서 사용되는 변조방식에 대한 정확하고 일반화된 심벌 오류 확률을 2차원 결합 가우시안 Q-함수(two-dimensional joint Gaussian Q-function)의 선형 결합(linear combination)의 형태로 유도한다.

• ETRI Journal
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• 제32권6호
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• pp.965-968
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• 2010

In this letter, we derive the distribution functions of five ratios involving two correlated Gaussian random variables by using the rotation of Cartesian coordinates. The results can be used in evaluating the various probability performances of wireless communications systems.

• 한국광학회지
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• 제8권2호
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• pp.95-98
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• 1997

Gauss 초기함수 $e^{-\sigma}$$^{2}$$x^{2}$/에 $e^{-q{\omega}}$$_{0}$ vertical bar x vertical bar를 곱하여 선폭을 더욱 예리하게 하여 역문제(Inverse Problem)로 동함수를 구하고 다시 유한구경에서 결상하는 광파의 회절강도 분포를 구하였다. 이 광학계의 OTF를 구하고 이 값을 변조하지 않은 Gauss 동함수의 (OTF)$_{1.0}$ 의 값과 비교한 결과 변조된 Gauss 동함수의 OTF가 (OTF)$_{1.0}$ 보다 같거나 작음을 보였다. 회절 역문제취급에서 Gauss함수의 선폭을 무조건 예리하게 한다하여 OTF가 향상되지 않는다는 사실을 증명하였다.

• Journal of applied mathematics & informatics
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• 제41권4호
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• pp.753-763
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• 2023

In this paper, we introduce a fully modified (p, q)-poly tangent polynomials and numbers of the first type. We investigate analytic properties that is related with (p, q)-Gaussian binomial coefficients. We also define (p, q)-Stirling numbers of the second kind and fully modified (p, q)-poly tangent polynomials and numbers of the first type with two variables. Moreover, we derive some identities are concerned with the modified tangent polynomials and the (p, q)-Stirling numbers.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1992년도 하계학술대회 논문집 A
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• pp.305-307
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• 1992

This paper presents a technique, which identifies both process noise covariance and sensor noise covariance by using innovation correlation test. A correlation test, which checks whether the square root Kalman filter is workingly optimal or not, is given. The system is stochastic autoregressive moving-average model with auxiliary white noise Input. The linear quadratic Gaussian control is used for minimizing stochastic cost function. This paper indentifies Q, R, and estimates parametric matrics $A(q^{-1}),B(q^{-1}),C(q^{-1})$ by means of extended recursive least squares and model reference control. And The proposed technique has been validated in simulation results on the fourth order system.

• Journal of Communications and Networks
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• 제7권4호
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• pp.450-461
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• 2005

In this paper, we derive analytical expressions for the exact pairwise error probability (PEP) of a space-time coded system operating over spatially correlated fast (constant over the duration of a symbol) and slow (constant over the length of a code word) fad­ing channels using a moment-generating function-based approach. We discuss two analytical techniques that can be used to evaluate the exact-PEPs (and therefore, approximate the average bit error probability (BEP)) in closed form. These analytical expressions are more realistic than previously published PEP expressions as they fully account for antenna spacing, antenna geometries (uniform linear array, uniform grid array, uniform circular array, etc.) and scattering models (uniform, Gaussian, Laplacian, Von-mises, etc.). Inclusion of spatial information in these expressions provides valuable insights into the physical factors determining the performance of a space-time code. Using these new PEP expressions, we investigate the effect of antenna spacing, antenna geometries and azimuth power distribution parameters (angle of arrival/departure and angular spread) on the performance of a four-state QPSK space-time trellis code proposed by Tarokh et al. for two transmit antennas.

• 대한전자공학회논문지SP
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• 제44권6호
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• pp.111-117
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• 2007

본 논문에서는 복소 라플라시안 확률밀도함수 (PDF, Probability Density Function)에 기반한 새로운 음성 향상 기법을 제시한다. 적용된 복소 라플라시안 PDF가 기존의 가우시안 PDF보다 오염된 음성 분포를 정확하게 표현한다는 것을 Goodness-of-Fit (GOF) 테스트로 확인하였고, 음성 향상 알고리즘의 음성부재확률을 위해 우도비 (LR, Likelihood Ratio)를 적용하였다. 제시된 알고리즘의 성능은 객관적 테스트에 의해 평가하였고 기존의 가우시안 PDF보다 개선된 음성 향상 결과를 나타내었다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권3호
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• pp.1477-1491
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• 2017

Inspired by the multi-scale nature of hippocampal place cells, a biologically inspired model based on a multi-scale spatial representation for goal-directed navigation is proposed in order to achieve robotic spatial cognition and autonomous navigation. First, a map of the place cells is constructed in different scales, which is used for encoding the spatial environment. Then, the firing rate of the place cells in each layer is calculated by the Gaussian function as the input of the Q-learning process. The robot decides on its next direction for movement through several candidate actions according to the rules of action selection. After several training trials, the robot can accumulate experiential knowledge and thus learn an appropriate navigation policy to find its goal. The results in simulation show that, in contrast to the other two methods(G-Q, S-Q), the multi-scale model presented in this paper is not only in line with the multi-scale nature of place cells, but also has a faster learning potential to find the optimized path to the goal. Additionally, this method also has a good ability to complete the goal-directed navigation task in large space and in the environments with obstacles.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
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• pp.15-19
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• 2003

In this paper, the bit error rate (BER) performance of the fast frequency hopping/M-ary frequency shift keying system using the clipper receiver is analyzed by using the characteristic function (CF) technique in the presence of n=1 band multitone jamming and additive white Gaussian noise environment. The CFs of the clipper receiver outputs are derived as a infinite series representation using Gamma function and Marcum's Q -function. The analytical results are validated with various simulation results. Performance comparisons with linear combining receiver are shown that the BER performance of the clipper receiver is much better than that of the linear combining receiver In addition, as the clipping level approaches to infinity, it is shown that the clipper receiver simply performs a linear combining without clipping and there exists an optimum value of diversity level (the number of hops per symbol) that maximizes the worst case BER performance of the clipper receiver.