• Title/Summary/Keyword: Binary sequence

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New Construction of Quaternary Low Correlation Zone Sequence Sets from Binary Low Correlation Zone Sequence Sets

  • Jang, Ji-Woong;Kim, Sang-Hyo;No, Jong-Seon
    • Journal of Communications and Networks
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    • v.12 no.4
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    • pp.330-333
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    • 2010
  • In this paper, using binary (N, M, L, $\epsilon$) low correlation zone (LCZ) sequence sets, we construct new quaternary LCZ sequence sets with parameters (2N, 2M, L, $2{\epsilon}$). Binary LCZ sequences for the construction should have period $N\;{\equiv}\;3$ mod 4, L|N, and the balance property. The proposed method corresponds to a quaternary extension of the extended construction of binary LCZ sequence sets proposed by Kim, Jang, No, and Chung [1].

A Theory on the Construction of Binary Sequences with Ideal Atutocorrelation

  • No, Jong-Seon;Yang, Kyeong-Cheol;Chung, Ha-Bong;Song, Hong-Yeop
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.223-228
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    • 1997
  • In this paper, we present a closed-form expression of binary sequences of longer period with ideal autocorrelation property in a trace representation, if a given binary sequence with ideal autocorrelation property is described using the trace function. We also enumerate the number of cyclically distinct binary sequences of a longer period with ideal autocorrelation property, which are extended from a given binary sequence with ideal autocorrelation property.

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THE NORM RATIO OF THE POLYNOMIALS WITH COEFFICIENTS AS BINARY SEQUENCE

  • Taghavi, M.
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.195-200
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    • 2003
  • Given a positive integer q, the ratio of the 2q-norm of a polynomial which its coefficients form a binary sequence and its 2-norm arose from telecommunication engineering consists of finding any type of such polynomials haying the ratio “small” In this paper we consider some special types of these polynomials, discuss the sharpest possible upper bound, and prove a result for the ratio.

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.

Could Decimal-binary Vector be a Representative of DNA Sequence for Classification?

  • Sanjaya, Prima;Kang, Dae-Ki
    • International journal of advanced smart convergence
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    • v.5 no.3
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    • pp.8-15
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    • 2016
  • In recent years, one of deep learning models called Deep Belief Network (DBN) which formed by stacking restricted Boltzman machine in a greedy fashion has beed widely used for classification and recognition. With an ability to extracting features of high-level abstraction and deal with higher dimensional data structure, this model has ouperformed outstanding result on image and speech recognition. In this research, we assess the applicability of deep learning in dna classification level. Since the training phase of DBN is costly expensive, specially if deals with DNA sequence with thousand of variables, we introduce a new encoding method, using decimal-binary vector to represent the sequence as input to the model, thereafter compare with one-hot-vector encoding in two datasets. We evaluated our proposed model with different contrastive algorithms which achieved significant improvement for the training speed with comparable classification result. This result has shown a potential of using decimal-binary vector on DBN for DNA sequence to solve other sequence problem in bioinformatics.

Binary Sequence Family for Chaotic Compressed Sensing

  • Lu, Cunbo;Chen, Wengu;Xu, Haibo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.9
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    • pp.4645-4664
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    • 2019
  • It is significant to construct deterministic measurement matrices with easy hardware implementation, good sensing performance and good cryptographic property for practical compressed sensing (CS) applications. In this paper, a deterministic construction method of bipolar chaotic measurement matrices is presented based on binary sequence family (BSF) and Chebyshev chaotic sequence. The column vectors of these matrices are the sequences of BSF, where 1 is substituted with -1 and 0 is with 1. The proposed matrices, which exploit the pseudo-randomness of Chebyshev sequence, are sensitive to the initial state. The performance of proposed matrices is analyzed from the perspective of coherence. Theoretical analysis and simulation experiments show that the proposed matrices have limited influence on the recovery accuracy in different initial states and they outperform their Gaussian and Bernoulli counterparts in recovery accuracy. The proposed matrices can make the hardware implement easy by means of linear feedback shift register (LFSR) structures and numeric converter, which is conducive to practical CS.

Evaluation of randomness of binary random sequence

  • Harada, Hiroshi;Kashiwagi, Hiroshi;Takada, Tadashi
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.979-983
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    • 1989
  • This paper proposes a new concept, called merit factor Fr, for evaluating the randomness of binary random sequences. The merit factor Fr is obtained from the expected values of the autocorrelation function of the binary random sequence. Using this merit factor Fr, randomness of the binary random sequences generated by the random sampling method is evaluated.

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Binary Segmentation Procedure for Detecting Change Points in a DNA Sequence

  • Yang Tae Young;Kim Jeongjin
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.139-147
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    • 2005
  • It is interesting to locate homogeneous segments within a DNA sequence. Suppose that the DNA sequence has segments within which the observations follow the same residue frequency distribution, and between which observations have different distributions. In this setting, change points correspond to the end points of these segments. This article explores the use of a binary segmentation procedure in detecting the change points in the DNA sequence. The change points are determined using a sequence of nested hypothesis tests of whether a change point exists. At each test, we compare no change-point model with a single change-point model by using the Bayesian information criterion. Thus, the method circumvents the computational complexity one would normally face in problems with an unknown number of change points. We illustrate the procedure by analyzing the genome of the bacteriophage lambda.

A New Construction Method of Quaternary LCZ Sequence Set (4진 낮은 상관 구역 수열군의 새로운 생성법)

  • Jang, Ji-Woong;Kim, Young-Sik;Lim, Dae-Woon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.2C
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    • pp.153-157
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    • 2009
  • In this paper, for even integer N, we propose a new construction method of quaternary low correlation zone(LCZ) sequence set from a binary LCZ sequence set with parameters (N,M,L,$\varepsilon$). Proposed method applies the inverse gray mapping from Krone and Sarwate to binary LCZ sequences and their phase shifts. The only needed condition of binary LCZ sequence set used in this construction is even period.

A Study on a Binary Random Sequence Generator with Two Characteristic Polynomials (두개의 특성 다항식으로 구성된 이진 난수열 발생기에 관한 연구)

  • 김대엽;주학수;임종인
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.3
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    • pp.77-85
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    • 2002
  • A Research of binary random sequence generator that uses a linear shift register had been studied since the 1970s. These generators were used in stream cipher. In general, the binary random sequence generator consists of linear shift registers that generate sequences of maximum period and a nonlinear filter function or a nonlinear combination function to generate a sequence of high linear complexity. Therefore, To generate a sequence that have long period as well as high linear complexity becomes an important factor to estimate safety of stream cipher. Usually, the maximum period of the sequence generated by a linear feedback shift register with L resistors is less than or equal to $2^L$-1. In this paper, we propose new binary random sequence generator that consist of L registers and 2 sub-characteristic polynomials. According to an initial state vector, the least period of the sequence generated by the proposed generator is equal to or ions than it of the sequence created by the general linear feedback shift register, and its linear complexity is increased too.