• Title/Summary/Keyword: 혼돈함수

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New Chaos Map for BER Performance Improvement in Chaos Communication System Using CDSK (상관지연편이변조 방식의 혼돈(Chaos) 통신 방식에서 비트오류율 성능 향상을 위한 새로운 혼돈 지도)

  • Lee, Jun-Hyun;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.8
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    • pp.629-637
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    • 2013
  • Chaos communication systems have the characteristics such as non-periodic, wide-band, non-predictability of signals and easy implementation. There have been many studies about chaos communication systems because of these advantages. But, chaos communication systems have low BER(Bit Error Rate) compare to general digital communication system. Existing researches on chaos communication systems only analyze BER performance according to various chaos maps. There are no studies on analysis of BER performance according to PDF(Probability Density Function) of chaos maps. In this paper, we analyze the BER performance according to changing parameter, equation, and initial values of chaos map's PDF. In addition, we propose new chaos map to improve BER performance. Simulation results show that BER performance of CDSK(Correlation Delay Shift Keying) is changed when PDF of chaos map changed. And the proposed chaos map has a better BER performance compare to previous chaos maps such as Tent map, Logistic map, and Henon map.

The design of digital circuit for chaotic composition map (혼돈합성맵의 디지털회로설계)

  • Park, Kwang-Hyeon;Seo, Yong-Won
    • Journal of Advanced Navigation Technology
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    • v.17 no.6
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    • pp.652-657
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    • 2013
  • In this paper the design methode of a separated composition state machine based on the compositive map with two chaotic maps together and the result of that is proposed. The digital circuits of chaotic composition map for the use of chaotic binary stream generator are designed in this work. The discretized truth table of chaotic composition function which is composed of two chaotic functions - the saw tooth function and skewed logistic function - is made out, and also simplefied Boolean algebras of digital circuits are obtained as a mathematical model. Consequently, the digital circuits of the map for chaotic composition function are presented in this paper.

The Design of Chaotic Binary Tream Generator (혼돈 2진 스트림 발생기 설계)

  • Seo, Yong-Won;Park, Jin-Soo
    • Journal of Advanced Navigation Technology
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    • v.17 no.3
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    • pp.292-297
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    • 2013
  • In this paper, The design of digital circuits for chaotic composition function which is used for the key-stream generator is studied in this work. The overall design concept and procedure due to the mathematical model of chaotic key-stream generator is to be the explained in detail, and also the discretized truth table of chaotic composition function is presented in this paper. consequently, a composition state machine based on the compositive map with connecting two types of one dimensional and two dimensional chaotic maps together is designed and presented.

Design of Discretized Tent Map (이산화된 텐트맵의 설계)

  • Baek, Seung-Jae;Park, Jin-Soo
    • The Journal of the Korea Contents Association
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    • v.8 no.4
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    • pp.86-91
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    • 2008
  • To present the design procedure of discretized 8-bit tent map executing the transformation of tent function which is one of the chaotic functions, first, the truth table of discretized tent map was written, and then according to the simplified Boolean algebra equations obtained from the truth table, the discretized map is implemented with the exclusive logic gate as a real hardware. The discretized tent map circuit which provides the feedback circuit for generating the period-8 states relevant to the 8-bit finite precision is also designed and presented in this paper. Furthermore, it might be used stream cipher system with a new key-stream circuit for generate of chaotic binary sequence.

A Study on Enhancement of 3D Sound Using Improved HRTFS (개선된 머리전달함수를 이용한 3차원 입체음향 성능 개선 연구)

  • Koo, Kyo-Sik;Cha, Hyung-Tai
    • The Journal of the Acoustical Society of Korea
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    • v.28 no.6
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    • pp.557-565
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    • 2009
  • To perceive the direction and the distance of a sound, we always use a couple of information. Head Related Transfer Function (HRTF) contains the information that sound arrives from a sound source to the ears of the listener, like differences of level, phase and frequency spectrum. For a reproduction system using 2 channels, we apply HRTF to many algorithms which make 3d sound. But it causes a problem to localize a sound source around a certain places which is called the cone-of-confusion. In this paper, we proposed the new algorithm to reduce the confusion of sound image localization. The difference of frequency spectrum and psychoacoustics theory are used to boost the spectral cue among each directions. To confirm the performance of the algorithm, informal listening tests are carried out. As a result, we can make the improved 3d sound in 2 channel system based on a headphone. Also sound quality of improved 3d sound is much better than conventional methods.

Design of Random Binary Sequence Generator using the Chaotic Map (혼돈맵을 사용한 난수성 2진 순서발생기의 설계)

  • Park, Kwang-Hyeon;Baek, Seung-Jae
    • The Journal of the Korea Contents Association
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    • v.8 no.7
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    • pp.53-57
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    • 2008
  • The discretized saw-tooth map with the 16-bit finite precision which is one of the 1-dimensional chaotic maps is designed, and the circuit of chaotic binary sequence generator using the discretized saw-tooth map is presented also in this brief. The real implementation of designed chaotic map is accomplished by connecting the input and output lines exactly according to the simplified Boolean functions of output variables obtained from truth table which is discretized. The random binary output sequences generated by mLFSR generator were used for the inputs of descretized saw-tooth map, and, by the descretized map, chaotic binary sequence which has more long period of 16 times minimally is generated as a results.

Design of The State machine using the Saw-Tooth Map (톱니맵을 이용한 상태머신의 설계)

  • Seo, Yong-Won;Seo, Eun-Mi;Park, Kwang-Hyeon;Awouda, Ala Eldin Abdallah
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1937_1938
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    • 2009
  • 이 논문에서는 1차원 혼돈맵들 중의 하나인 톱니맵을 8비트의 유한정밀도로 이산화시켜 설계하였고, 이 이산화된 톱니맵을 사용한 혼돈 2진 순서 발생기의 회로도도 제시하였다. 설계된 혼돈맵의 실제 구현은 이산화된 진리표로부터 얻어진 출력변수의 간략화된 부울함수에 따른 입력선과 출력선들의 정확한 연결만에 의해 실현하였다. 최대길이를 발생시키는 선형궤환시프트레지스터(mLFSR)에 의해 발생되는 난수성 2진 출력 순서들을 이산화된 톱니맵의 입력순서로 사용함으로써 결과적으로 최소 8배 더 긴 주기를 갖는 혼돈 2진 순서들을 발생시켰다.

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Dynamic Behaviors of an Impact System under Randomly Perturbed Harmonic Excitation by the Path-Integral Solution Procedure (Path-Integral Solution을 이용한 랜덤동요된 조화가진력을 받는 임팩트시스템의 거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.83-91
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    • 2004
  • Nonlinear system responses of an impact system under randomly perturbed harmonic excitations are predicted in the probability domain by adopting the semi-analytical procedure previously developed. The semi-analytical procedure is obtained by solving the Fokker-Planck equation corresponding to the stochastic differential equation of the given impact system by utilizing the path-integral solution. The evolutionary joint probability density functions are generated by using the method, and the characteristics of nonlinear dynamic response behaviors of the system are examined. Noise effects on the responses are also examined. It Is found that the semi-analytical method can provides the accurate information of the responses via the joint probability functions for the impact system. It is found that the noises weaken and eventually terminate the chaos in the responses, but it is also found that the chaotic signatures reside in the presence of the external noise with relatively high intensity. The joint probability density function shows that the ensemble of the system responses are weakly stationary.

Stochastic Nonlinear Dynamics of a Piecewise-Linear System via the Path-Integral Solution of the Fokker-Planck Equation (Fokker-Planck 방정식의 Path-Integral Solution을 이용한 구분적선형시스템의 비선형동적거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.251-264
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    • 1999
  • 본 연구에서는 추계론적 동적시스템의 응답거동을 예측할 수 있는 반해석적 절차를 개발하였으며, 이를 이용하여 구분적선형시스템의 동적거동특성을 확률적 영역에서 분석하였다. 반 해석적 절차는 시스템의 추계론적 미분방정식에 상응하는 Fokker-Planck 방정식을 path-integral solotion을 이용하여 풂으로써 구할 수 있다. 결합확률밀도함수의 시간에 따른 전개과정을 통하여 시스템의 동적 응답거동 특성의 예측과 분석을 하고 시스템의 거동에 미치는 외부노이즈의 영향 또한 조사하였다. 반 해석적 방법은 위상면 상에서 결합확률밀도 함수를 통하여 응답거동의 예측은 물론 거동특성에 대하여 적절한 정보를 제공하는 것을 밝혔다. 혼돈거동의 특성은 외부노이즈가 존재하는 상황에서도 시스템의 응답 안에 잔재하는 것을 밝혔다.

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Integrated Circuit Implementation and Characteristic Analysis of a CMOS Chaotic Neuron for Chaotic Neural Networks (카오스 신경망을 위한 CMOS 혼돈 뉴런의 집적회로 구현 및 특성 해석)

  • Song, Han-Jeong;Gwak, Gye-Dal
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.37 no.5
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    • pp.45-53
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    • 2000
  • This paper presents an analysis of the dynamical behavor in the chaotic neuron fabricated using 0.8${\mu}{\textrm}{m}$ single poly CMOS technology. An approximated empirical equation models for the sigmoid output function and chaos generative block of the chaotic neuron are extracted from the measurement data. Then the dynamical responses of the chaotic neuron such as biurcation diagram, frequency responses, Lyapunov exponent, and average firing rate are calculated with numerical analysis. In addition, we construct the chaotic neural networks which are composed of two chaotic neurons with four synapses and obtain bifurcation diagram according to synaptic weight variation. And results of experiments in the single chaotic neuron and chaotic neural networks by two neurons with the $\pm$2.5V power supply and sampling clock frequency of 10KHz are shown and compared with the simulated results.

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