• Journal of Applied and Pure Mathematics
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• v.4 no.5_6
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• pp.233-247
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• 2022

This manuscript addressed, the existence and uniqueness result for random impulsive stochastic functional differential equations with finite time delays. The study of random impulsive stochastic system is a new area of research. We interpret the meaning of a stochastic derivative and how it differs from the classical derivative. We prove the existence and uniqueness of mild solutions to the equations by using the successive approximation method. We conclude the article with some interesting future extension. This work extends the work of [18, 12, 20]. Finally, an example is given to illustrate the theoretical result.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.4
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• pp.1951-1956
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• 2013

Distribution-matching type algorithms based on a set of symbols generated in random order provide a limited performance under biased impulsive noise since the performance criterion for the algorithms has no variables for biased signal. For the immunity against biased impulsive noise, we propose, in this paper, a modified performance criterion and derived related blind algorithms based on augmented filter structures and the distribution-matching method using a set of random symbols. From the simulation results, the proposed algorithm based on the proposed criterion yielded superior convergence performance undisturbed by the strong biased impulsive noise.

• International Journal of Naval Architecture and Ocean Engineering
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• v.2 no.3
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• pp.119-126
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• 2010

The response of ship roll oscillation under random ice impulsive loads modeled by Poisson arrival process is very important in studying the safety of ships navigation in cold regions. Under both external and parametric random excitations the evolution of the probability density function of roll motion is evaluated using the path integral (PI) approach. The PI method relies on the Chapman-Kolmogorov equation, which governs the response transition probability density functions at two close intervals of time. Once the response probability density function at an early close time is specified, its value at later close time can be evaluated. The PI method is first demonstrated via simple dynamical models and then applied for ship roll dynamics under random impulsive white noise excitation.

• Journal of Applied and Pure Mathematics
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• v.4 no.3_4
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• pp.107-122
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• 2022

This manuscript aims to investigate the existence, uniqueness, and stability of non-local random impulsive neutral stochastic differential time delay equations (NRINSDEs) with Poisson jumps. First, we prove the existence of mild solutions to this equation using the Banach fixed point theorem. Next, we demonstrate the stability via continuous dependence initial value. Our study extends the work of Wang, and Wu [16] where the time delay is addressed by the prescribed phase space 𝓑 (defined in Section 3). To illustrate the theory, we also provide an example of our methods. Using our results, one could investigate the controllability of random impulsive neutral stochastic differential equations with finite/infinite states. Moreover, one could extend this study to analyze the controllability of fractional-order of NRINSDEs with Poisson jumps as well.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.38A no.1
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• pp.26-32
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• 2013

Blind algorithms based on Information potential of output samples and a set of symbols generated in random order at the receiver go through performance degradation when biased impulsive noise is added to the channel since the cost function composed of information potentials has no variable to deal with biased signal. Aiming at the robustness against biased impulsive noise, we propose, in this paper, a modified information potential, and derived related blind algorithms based on augmented filter structures and a set of random-order symbols. From the simulation results of blind equalization for multipath channels, the blind algorithm based on the proposed information potential produced superior convergence performance in the environments of strong biased impulsive noise.

• Proceedings of the KIEE Conference
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• 2005.07d
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• pp.2983-2985
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• 2005

There are many factors to degrade the performance of power-line communication systems such as multi-path fading, attenuation, colored and impulsive noise, and interference. Most of all, impulsive noise is generated by switching operation of many power supply units and equipments, and it causes both burst error and random error as the pattern of generation. In this paper, the variations of performance for RS convolutional concatenated coded system are simulated and analysed with the several parameters over impulsive noise channel.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.41 no.9
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• pp.995-1000
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• 2016

The maximum cross-correntropy (MCC) algorithm with a set of random symbols keeps its optimum weights undisturbed from impulsive noise unlike MSE-based algorithms and its main factor has been known to be the input magnitude controller (IMC) that adjusts the input intensity according to error power. In this paper, a normalization of the step size of the MCC algorithm by the power of IMC output is proposed. The IMC output power is tracked recursively through a single-pole low-pass filter. In the simulation under impulsive noise with two different multipath channels, the steady state MSE and convergence speed of the proposed algorithm is found to be enhanced by about 1 dB and 500 samples, respectively, compared to the conventional MCC algorithm.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 1984.10a
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• pp.28-36
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• 1984

The error rate performances of digital modulation systems which are influenced by impulsive noise have been studied in the environment of electromagnetic interference(EMI). We have derived the error probability equations of L-level ASK, M-ary PSK, MSK, QAM, and APK signals. Using these derived equations, we have evaluated the performance of each system and compared each other.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.40 no.12
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• pp.2324-2330
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• 2015

In blind signal processing in impulsive noise environment the maximum cross-correntropy (MCC) algorithm shows superior performance compared to MSE-based algorithms. But optimum weight conditions of MCC algorithm and its properties related with robustness to impulsive noise have not been studied sufficiently. In this paper, through the analysis of the behavior of its optimum weight and the relationship with the MSE-based LMS algorithm, it is shown that the optimum weight of MCC and MSE-based LMS have an equal solution. Also the factor that keeps optimum weight of MCC undisturbed and stable under impulsive noise is proven to be the magnitude controlled input through simulation.

• Human Ecology Research
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• v.54 no.4
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• pp.385-395
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• 2016

This study examines the effects of consumer socialization on Korean adolescent impulsive buying behavior. The current study used the third and sixth waves from the Korean Education and Employment Panel (KEEP) survey that has been administered by the Korea Research Institute for Vocational Education and Training since 2004. The subjects were high school juniors and university sophomores in 2006 and 2009, respectively. The final sample for panel regression analysis included 1,718 individuals. Two major agents of socialization (school and parents) were utilized in our model. Parent financial behavior (if the parents had savings) and the effectiveness/helpfulness of economics education in middle or high school were included in our estimation model. Two categories were included as individual factors: (1) psychological aspects and personal traits covering variables such as stress from self-image, academic stress, self-regulation, and a tendency of risky behavior and (2) financial behavior and attitudes, which include work experience, amount of money in hand, shopping habits, and if parental financial support is expected after high school graduation. The results from a random effects model revealed that the effects of consumer socialization through school was marginally significant, while through parents was not. Stress from self-image and the level of self-regulation were found to be significant. Neither risky behavior nor academic stress were a significant factor for impulsive buying behavior. The amount of money available in hand and shopping habits showed a significant influence. Implications for educators, parents and policy makers are identified.