• International Journal of Control, Automation, and Systems
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• 제6권2호
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• pp.288-294
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• 2008

Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples.

• 한국통신학회논문지
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• 제35권7C호
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• pp.594-597
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• 2010

This paper estimates belief-propagation (BP) decoding performance of moderate-length irregular low-density parity-check (LDPC) codes with sphere bounds. We note that for moderate-length($10^3{\leq}N{\leq}4\times10^3$) irregular LDPC codes, BP decoding performance, which is much worse than maximum likelihood (ML) decoding performance, is well matched with one of loose upper bounds, i.e., sphere bounds. We introduce the sphere bounding technique for particular codes, not average bounds. The sphere bounding estimation technique is validated by simulation results. It is also shown that sphere bounds and BP decoding performance of irregular LDPC codes are very close at bit-error-rates (BERs) $P_b$ of practical importance($10^{-5}{\leq}P_b{\leq}10^{-4}$).

• 한국정보전자통신기술학회논문지
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• 제13권5호
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• pp.432-435
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• 2020

The elasticity tensor for water may be employed to model the fully saturated porous material. Mostly water is assumed to be incompressible with a bulk modulus, however, the upper and lower bounds of off-diagonal components of the elasticity tensor of porous materials filled with water are violated when the bulk modulus is relatively high. In many cases, the generalized Hill inequality describes the general bounds of Voigt and Reuss for eigenvalues, but the bounds for the component of elasticity tensor are more realistic because the principal axis of eigenvalues of two phases, matrix and water, are not coincident. Thus in this paper, for anisotropic material containing pores filled with water, the bounds for the component of elasticity tensor are expressed by the rule of mixture and the upper and lower bounds of fully saturated porous materials are violated for low porosity and high bulk modulus of water.

• 한국통신학회논문지
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• 제33권11C호
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• pp.880-882
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• 2008

This paper presents LDPC codes' upper bounds over the waterfall SNR region. The previous researches have focused on the average bound or ensemble bound over the whole SNR region and showed the performance differences for the fixed block size. In this paper, the particular LDPC codes' upper bounds for various block sizes are calculated over the waterfall SNR region and are compared with BP decoding performance. For different block sizes the performance degradation of BP decoding is shown.

• 한국정보전자통신기술학회논문지
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• 제5권1호
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• pp.52-59
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• 2012

뼈는 미네랄과 콜라겐으로 이루어진 복합 재료이고 횡방성 대칭의 역학적인 성질을 갖는다. 뼈의 유효 탄성 상수를 찾기 위해서는 복합재료역학에서 경계조건을 사용하여 그 값을 예측하고 있다. 그 방법들 중 하나인 보이트-로이스 경계조건은 근사값을 이용해서 유효 탄성 계수를 추정하는 방법이다. 기존의 방법은 고유값의 경계조건에 관한 경계조건을 보이지만, 이번 연구에서 우리는 수학적으로 이 경계조건이 각각의 탄성계수에 관해서 성립함을 보였다.

• Journal of Communications and Networks
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• 제18권2호
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• pp.182-189
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• 2016

The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2003년도 하계종합학술대회 논문집 V
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• pp.2709-2712
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• 2003

In this paper, dynamic constraints are considered for the analysis of manipulability of robotics systems comprised of two cooperating arms. Given bounds on the torques of joint actuators for each robot, the purpose of this study is to derive the bounds of task acceleration of object carried by the system. Under the assumption of complete constraint contact, a set of examplar polytope describing acceleration bounds of two cooperating robots are included.

• International Journal of Control, Automation, and Systems
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• 제1권4호
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• pp.459-463
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• 2003

In this paper, new results using bounds for the solution of the discrete Lyapunov matrix equation are proposed, and some of the existing works are generalized. The bounds obtained are advantageous in that they provide nontrivial upper bounds even when some existing results yield trivial ones.

• 대한수학회논문집
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• 제16권4호
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• pp.691-701
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• 2001

We computed zero mean Gaussian of average error bounds pf Simpsons quadrature with convariances in [2]. In this paper, we compute zero mean Gaussian of average error bounds between Simpsons quadrature and composite Simpsons quadra-ture on four consecutive subintervals. The reason why we compute these on subintervals is because these results enable us to compute a posteriori error bounds on the whole interval in the later paper.

• 한국통신학회논문지
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• 제17권10호
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• pp.1100-1108
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• 1992

AJ 시스템의 비트 오류 확률의 정확한 계산은 매우 어렵거나 불가능하므로 비트 오류 확률의 Chernoff상한을 구하여 시스템의 성능 분석을 하는 것이 매우 유용하다. 부호 채널에 대한 cutoff rate의 계산은 비교적 용이하므로, AJ 시스템의 부호화 비트 오율의 상한은 AWGN 채널에서의 비트오율의 상한이 cutoff rate의 항으로 직접 구해지는 관계를 이용하여 구할 수 있다. 본 논문에서는 부호 기법을 적용한 통신 시스템에 대하여 적용할 수 있는 비트 오류 확률의 상한에 대한 일반적인 표현식을 소개하고 그 결과를 이용하여 Trumpis 부호를 적용한 FH/MFSK 시스템의 광대역 및 부분 대역 잡음 재밍에 대한 성능 분석을 하였고 아울러 채널 측정을 통해 부가적으로 제공될 수 있는 재머의 상태 정보가 비트 오류 확률에 미치는 효과도 계산함으로써 위의 사실을 입증하였다.