• Title/Summary/Keyword: Bent Sequence

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A Study on the generation and characteristics of Bent codes for Code Division Multiple Access Communication System (부호분할 다중통신 시스템을 위한 Bent 부호발생 및 특성에 관한 연구)

  • 이정재;최삼길;한영열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.2
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    • pp.137-145
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    • 1989
  • In this paper we consider the design of bent sequence generators employing a modified bent function. Through the experimental results and simulation, we show that the period of sequences is $2^n$-1, the number of sequences in the set is $2n/2$, the largest magnitude of correlation is $2n/2$+1, and the sequence generators easy to randomly initialize into any assigned code and hence can be rapidly hopped from sequence to sequence. And we construct a code synchronization system with bent sequence generator as the local code generator, a sliding correlator and DLL as the acquisition subsystem and the tracking subsystem, respectively for DS-CODA, and verify the experimenta results for accomplishing code synchronism.

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Helical Periodicity of $(dT)_n{\cdot}(dA)_n{\cdot}(dT)_n$ Triple - Stranded DNA

  • Kim, Ki-Hyun;Koo, Hyeon-Sook
    • BMB Reports
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    • v.30 no.6
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    • pp.426-430
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    • 1997
  • The helical periodicity of the triple-stranded $(dT)_n{\cdot}(dA)_n{\cdot}(dT)_n$ sequence was determined by measuring gel-mobilities of bent DNA fragments containing the sequence. In the bent DNA fragments, a $GA_{22}G$ $CT_{22}C$ sequence was located between two bent DNA loci composed of six $A_{6}{\cdot}T_{6}$ repeats. and the DNA length between the bent DNA loci was varied by 1 base pair over a full helical turn. The gel mobility of each bent DNA fragment reflected the overall extent of DNA bending and varied with the DNA length between the two bent loci. Mobilities of the bent DNA fragments in 5% polyacrylamide gel were measured after preincubating the DNA fragments both in the presence and absence of $CT_{22}C$ oligonucleotide. By comparing the bent DNA fragments containing an intermolecular triplex structure with those of a genuine duplex structure in the gel mobilities, the helical periodicity of the $T_n{\cdot}A_n{\cdot}T_n$ triplex DNA was determined to be $11.5({\pm}0.3)bp/turn$.

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New Constructions of p-ary Bent Sequences (새로운 p진 Bent 수열의 생성)

  • 김영식;장지웅;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10C
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    • pp.930-935
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    • 2003
  • In this paper, using bent functions defined [n the finite field we generalized the construction method of the family of p-ary bent sequences with balanced and optimal correlation property introduced by Kumar and Moreno for an odd prime p[3], called a generalized p-ary bent sequence. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura [6] is a special case of the generalized p-ary bent sequences.

Generalized Binary Bent Sequences (일반화된 이진 Bent 시퀀스)

  • Gil, Gang-Mi;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.1A
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    • pp.35-41
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    • 2002
  • In this paper, we generalize the family of binary bent sequences introduced by Olsen, Scholtz and Welch [2] to obtain the generalized binary bent sequences with optimal correlation and balance properties. The modified trace transform is introduced and it enables us to use linear function from ${F_{2^n}}$ to the intermediate field ${F_{2^e}}$, where e|n. If we choose e=1, our method becomes the conventional binary bent sequence case. Also, some examples are given which show that our construction gives the family of simple binary sequences with optimal correlation and balance properties.

BENT함수와 bent 수열을 중심으로 본 상관성이 우수한 수열군

  • 정하봉
    • Review of KIISC
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    • v.2 no.3
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    • pp.41-49
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    • 1992
  • 레이다 시스템, ranging 시스템, 확산 대역 통신 (spread spectrum communication) 시스템, 그리고 요즈음 각광받고 있는 코드분할방식 다중통신 (CDMA com-munication) 시스템에서는 주지하다시피 상관성(correlation) 이 좋은 수열(sequence)들위 사용이 필수 불가결하다. 수열의 상관성은 그 수열 자신의 상관성이냐 다른 수열간의 상관성이냐에 따라 자기상관관계(crosscorrelation)로 나누어 생각할 수 있고 수열의 주기성의 유무에 따라 주기적 상관관계(Periodic correlation)와 비주기적 상관관계(aperiodic correla-tion)로 나누어 볼 수 있다. 여기서 수열의 상관성이 좋다는 말은 정규화된 수열의 자기상관계수(autocorrelation coefficient)와 수열 간의 교차상관 계수(crosscorrelation coefficient)의 최대 크기가 수열의 길이에 비해 상대적으로 작은 값을 갖는다는 것을 의미한다. 본 논문에서는 주기성을 갖는 이진수열군의 하나인 bent수열과 이 bent수열을 구성하는데 기본이 되는 bent함수를 중심으로 주기적 상관성이 우수한 여러 수열군에 대해 알아보고자 한다.

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Intrinsic bent DNA colocalizes with the sequence involved in the Nd-sD mutation in the Bombyx mori fibroin light chain gene

  • Barbosa, Joice Felipes;Bravo, Juliana Pereira;Takeda, Karen Izumi;Zanatta, Daniela Bertolini;Silva, Jose Luis Da Conceicao;Balani, Valerio Americo;Fiorini, Adriana;Fernandez, Maria Aparecida
    • BMB Reports
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    • v.41 no.5
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    • pp.394-399
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    • 2008
  • Multiple sequence alignments of the Bombyx mori fibroin light chain gene (fib-L) from hybrids and from Chinese and Japanese strains demonstrated that 51.6% of the fib-L third intron is conserved. One of these conserved segments, 41 bp long, contains the sequence CGTTATTATACATATT, which is duplicated in the B. mori Nd-$s^D$ mutant. In the present work, electrophoretic mobility assays and computational analyses revealed a major peak of intrinsic bent DNA within the segment that undergoes breakage in the previously-described Nd-$s^D$ mutation. This result suggested that this intrinsically-curved region might mediate DNA cleavage and enhance recombination events in the third intron of the Bombyx mori fib-L gene.

Extended Quasi Orthogonal Functions for 3G CDMA Systems (3G CDMA 시스템을 위한 확장 준직교 함수)

  • Lee Kwang-Jae;Moon Myung-Ryong;Hou Jia;Lee Moon-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.7 s.98
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    • pp.697-708
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    • 2005
  • The forward link of the 3G CDMA system may become limited under the increasing of the number of users. The conventional channelization code, Walsh code, has not enough sizes f3r much possible users, therefore, the quasi orthogonal function(QOF), which process optimal crosscorrelation with Walsh code, is considered. In this paper, we investigate quasi orthogonal function on Jacket matrices, which can lead lower correlations values and better performance in 3G CDMA system. Moreover, to simplify the detector and improve the BER performance, a novel detection for QOF CDMA system is proposed. Finally, the simple recursive generation of the bent sequences for QOF mask function is discussed.

Design and Analysis of Code Sequence Generating Algorithms using Almost Perfect Nonlinear Functions (APN 함수를 이용한 부호계열 발생 알고리즘 설계 빛 분석)

  • Lee, Jeong-Jae
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.47-52
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    • 2010
  • For cryptographic systems, nonlinearity is crucial since most linear systems are easily decipherable. C.Bracken, Z.Zhaetc., propose the APN(Almost Perfect Nonlinear) functions with the properties similar to those of the bent functions with perfect nonlinearity. We design two kinds of new code sequence generating algorithms using the above APN functions. And we find that the out of phase ${\tau}\;{\neq}\;0$, autocorrelation functions, $R_{ii}(\tau)$ and the crosscorrelation functions, $R_{ik}(\tau)$ of the binary code sequences generated by two new algorithms over GF(2), have three values of {-1, $-1-2^{n/2}$, $-1+2^{n/2}$}. We also find that the out of phase ${\tau}\;{\neq}\;0$, autocorrelation functions, $R_{p,ii}(\tau)$ and the crosscorrelation functions, $R_{p,ik}(\tau)$ of the nonbinary code sequences generated by the modified algorithms over GF(p), $p\;{\geq}\;3$, have also three values of {$-1+p^{n-1}$, $-1-p^{(n-1)/2}+p^{n-1}$, $-1+p^{(n-1)/2}p^{n-1}$}. We show that these code sequences have the characteristics of the correlation functions similar to those of Gold code sequences.

A Study on the Generating Algorithm and the Correlation Function of Kumar Code Sequences for the Frequency Hopping Patterns (주파수 경로 패턴을 위한 Kumar 부호계열 발생 알고리즘 및 상관함수 특성에 관한 연구)

  • 이정재;한영렬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.12
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    • pp.1886-1902
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    • 1989
  • In this paper we discuss the generating algorithm of Kumar code sequences which are based on generalized bent sequences for FH-CDMA. The code sequence generator was constructed for the shift register stages n=4 over GF (5). Finally we analyze the characteristics fo Hamming correlation between two code sequences and the time-frequency correlatins of the complete waveform with the sinusoidal chips as the elemental waveforms.

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Correlation Analysis of Flow Characteristics Downstream of a Double Bent Pipe and Mounting Positions of Ultrasonic Flowmeter (곡관하류의 유동특성과 초음파유량계 설치위치의 상관관계 분석)

  • Lee, Dong Keun;Cho, Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.11
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    • pp.1037-1046
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    • 2013
  • In this study, the establishment of the criteria for accurate measurement is investigated via a statistical analysis of experimental results. The magnitude of influence on measurement errors is severely affected by the number of paths, mounting angle of sensor, straight pipe length in sequence, and Reynolds number. Three-dimensional numerical analysis has been conducted to understand the flow patterns downstream of a double bent pipe. Numerical analysis shows that the results well agreed with the experimental ones in case of a sensor mounting angle of $0^{\circ}$ and L/D = 3, 5 of $45^{\circ}$, $135^{\circ}$ in a single path. As a result, when the Reynolds number is 700,000-1,400,000, the sensor error of a single-path ultrasonic flowmeter is reduced with the mounting condition of L/D = 3, $45^{\circ}$.