• Title/Summary/Keyword: singular ideal

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A Study on Improving the Correlation Characteristics of a Ternary Sequence (삼치 시퀀스의 상관함수 특성 개선 연군)

  • 권성재
    • Proceedings of the Korea Society of Information Technology Applications Conference
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    • 2002.11a
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    • pp.407-411
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    • 2002
  • Ternary sequences are digital codes consisting of discrete values -1, 0, and 1 only. They are advantageous in that the correlation can be carried out using additions only. Also, they feature an ideal circular autocorrelation function, but in channel characterization tasks, the usual requirement is that the linear autocorrelation function be ideal, i.e., a Kronecker delta function. In this article, we consider two approaches to improving their linear autocorrelation or crosscorrelation properties: one is an inverse filtering method with thresholding, and the other is a singular value decomposition (SVD) method. Both methods are simulated under noisy circumstances. The inverse filtering method resulted in an improvement in peak sidelobe level of about 11 dB at an SNR of 30 dB, and the SVD method showed similar performances, albeit more sensitive to noise depending on the singular value selection strategy.

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A Study on Improving the Correlation Characteristics of a Ternary Sequence (삼치 시퀀스의 상관함수 특성 개선 연구)

  • 권성재
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2002.11a
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    • pp.407-411
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    • 2002
  • Ternary sequences are digital codes consisting of discrete values -1, 0, and 1 only. They are advantageous in that the correlation can be carried out using additions only Also, they feature an ideal circular autocorrelation function, but in channel characterization tasks, the usual requirement is that the linear autocorrelation function be ideal, i.e., a Kronecker delta function. In this article, we consider two approaches to improving their linear autocorrelation or crosscorrelation properties: one is an inverse filtering method with theresholding and the other is a singular value decomposition (SVD) method. Both methods are simulated under noisy circumstances. The inverse filtering method resulted in an improvement in peak sidelobe level of about 1㏈ at an SNR of 30㏈, and the SVD method showed similar performances, albeit more sensitive to noise depending on the singular value selection strategy.

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Research on methods to extract standard head-related transfer function (표준 머리전달함수 추출 기법에 관한 연구)

  • Son, Daehyuk;Park, Youngjin;Jang, Sei-jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.572-574
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    • 2014
  • Researches on three-dimensional multimedia has been performed actively in recent years. Virtual sound technology corresponding to virtual image should be provided to implement 3D multimedia with high quality. Head-related transfer function (HRTF) plays a key role in this research area. HRTFs measured in changing azimuth, elevation, and distance for each and every subject is necessary for ideal solution. However, it is practically impossible to measure all subjects' HRTFs, so various HRTF databases have been built by many researchers. Because HRTF displays quite different aspects from subject to subject, HRTF of dummy head has been used for generic usage. However, mannequin's HRTF showed much worse performance comparing with individual case so this solution should be improved. From previous work, standardization of HRTF based on tensor-singular value decomposition method has been proposed. For effective extraction of standard HRTF, three different decomposition methods are compared in this paper.

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PROJECTIONS OF ALGEBRAIC VARIETIES WITH ALMOST LINEAR PRESENTATION II

  • Ahn, Jeaman
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.2
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    • pp.181-188
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    • 2021
  • Let X be a nondegenerate reduced closed subscheme in ℙn. Assume that πq : X → Y = πq(X) ⊂ ℙn-1 is a generic projection from the center q ∈ Sec(X) \ X where Sec(X) = ℙn. Let Z be the singular locus of the projection πq(X) ⊂ ℙn-1. Suppose that IX has the almost minimal presentation, which is of the form R(-3)β2,1 ⊕ R(-4) → R(-2)β1,1 → IX → 0. In this paper, we prove the followings: (a) Z is either a linear space or a quadric hypersurface in a linear subspace; (b) $H^1({\mathcal{I}_X(k)})=H^1({\mathcal{I}_Y(k)})$ for all k ∈ ℤ; (c) reg(Y) ≤ max{reg(X), 4}; (d) Y is cut out by at most quartic hypersurfaces.

SOME GEOMETRIC PROPERTIES OF GOTZMANN COEFFICIENTS

  • Jeaman Ahn
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.2
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    • pp.57-66
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    • 2024
  • In this paper, we study how the Hilbert polynomial, associated with a reduced closed subscheme X of codimension 2 in ℙN, reveals geometric information about X. Although it is known that the Hilbert polynomial can tell us about the scheme's degree and arithmetic genus, we find additional geometric information it can provide for smooth varieties of codimension 2. To do this, we introduce the concept of Gotzmann coefficients, which helps to extract more information from the Hilbert polynomial. These coefficients are based on the binomial expansion of values of the Hilbert function. Our method involves combining techniques from initial ideals and partial elimination ideals in a novel way. We show how these coefficients can determine the degree of certain geometric features, such as the singular locus appearing in a generic projection, for smooth varieties of codimension 2.

Homosexuality and Utopia: A Reading of Whitman's Calamus (동성애와 유토피아 -휘트먼의 『창포』를 중심으로)

  • Son, Hyesook
    • Journal of English Language & Literature
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    • v.58 no.1
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    • pp.43-67
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    • 2012
  • My essay aims at illustrating Whitman's homosexual vision of utopia with a close reading of his representative homosexual text, Calamus. His expansive self is based upon his intimate contact with the world and is almost always drawn to a wider vision of community in which different individuals share the locus of commonness and reach beyond their empirical boundaries. While foregrounding the contingent and the singular, Whitman forges bonds with other people through a series of ecstatic moments that carry us into the public sphere and common interests. Contrary to the current Whitman studies, his homosexual text doesn't repress contingency in order to celebrate the universal, but fully develops the commensurability among diverse historical agents. Whitman knows well the social taboos and inhibitions at the time of national crisis and expansion, but keeps imagining the world where homosexuality plays a central and significant role in founding a democratic solidarity and achieving a desirable social structure. His ideal of America is not a deferred wish for the future, but a concrete vision that can be achieved here and now, realized by the spontaneous bonding and instant attraction among free men. Instead of interpreting history or suggesting practical alternatives, he keeps questioning the dominant ideologies and the given orders of social control, and suggests a free and open relationship among men where no exterior power or mediating other intervenes. His utopian vision is radical as well as ideal, in that it rejects the interventions of the power structure and its institutions and courageously inscribes his homosexuality in the process of writing about and reading his contemporary America. As a predecessor of a homosexual utopian vision of America, Whitman has inspired many later poets, showing a possibility of infusing a homosexual identity into a radical imaging of the nation and its future.

Matrix Decomposition for Low Computational Complexity in Orthogonal Precoding of N-continuous Schemes for Sidelobe Suppression of OFDM Signals

  • Kawasaki, Hikaru;Matsui, Takahiro;Ohta, Masaya;Yamashita, Katsumi
    • IEIE Transactions on Smart Processing and Computing
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    • v.6 no.2
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    • pp.117-123
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    • 2017
  • N-continuous orthogonal frequency division multiplexing (OFDM) is a precoding method for sidelobe suppression of OFDM signals and seamlessly connects OFDM symbols up to the high-order derivative for sidelobe suppression, which is suitable for suppressing out-of-band radiation. However, it severely degrades the error rate as it increases the continuous derivative order. Two schemes for orthogonal precoding of N-continuous OFDM have been proposed to achieve an ideal error rate while maintaining sidelobe suppression performance; however, the large size of the precoder matrices in both schemes causes very high computational complexity for precoding and decoding. This paper proposes matrix decomposition of precoder matrices with a large size in the orthogonal precoding schemes in order to reduce computational complexity. Numerical experiments show that the proposed method can drastically reduce computational complexity without any performance degradation.

A Study on the Image of a Brand Apartment and Self-Image Consentaneity (브랜드 아파트의 이미지와 자아이미지의 일치성에 관한 연구)

  • Kim, Jin-Hwa;Lee, Youn-Jung;Jeong, Jun-Hyun
    • Journal of the Korean housing association
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    • v.21 no.2
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    • pp.31-39
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    • 2010
  • The trend in which an apartment is regarded as not only a substantial property or 'residence' but also as a 'means of self-expression' for consumers is increasing in the present housing marketing, and thus, the apartment brand image has become an important field of marketing management. Therefore, the present study aimed to verify the difference between the image of a housing brand and the self-image of consumers in order to propose a singular direction of strategies for the formation of a differentiated brand image. As a result of research, analysis showed that there is a trend in which consumers show a more positive attitude towards a brand apartment that has a brand image closer to an ideal selfimage. Even if this trend is weak, it was confirmed that the consentaneity between a brand image and the self-image of housing products can become a variable having some influence on brand attitude. The survey method compared a brand image and a self-image by using Likert's 5-point scale on the apartment brands of the top three companies according to the study result of a national brand competitiveness index (NBCI). Self-consentaneity was determined by using the distance measurement model of self-consentaneity proposed by Sirgy (1982). The study data was collected from 210 persons and the PASW program was used for statistical data analysis.

Estimation of Circularly Symmetric Point Spread Function for Digital Auto-Focusing (디지털 자동 초점을 위한 등방성 점확산함수 추정)

  • Kim, Dong-Gyun;Park, Young-Uk;Lee, Jin-Hee;Paik, Joon-Ki
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.1
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    • pp.7-13
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    • 2009
  • This paper presents a circularly symmetric point spread function (PSF) estimation technique for a fully digital auto-focusing system. The proposed algorithm provides realistic, unsupervised PSF estimation by establishing the relationship between one-dimensional ideal step response and two-dimensional circularly symmetric PSF.

Semi M-Projective and Semi N-Injective Modules

  • Hakmi, Hamza
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.83-94
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    • 2016
  • Let M and N be modules over a ring R. The purpose of this paper is to study modules M, N for which the bi-module [M, N] is regular or pi. It is proved that the bi-module [M, N] is regular if and only if a module N is semi M-projective and $Im({\alpha}){\subseteq}^{\oplus}N$ for all ${\alpha}{\in}[M,N]$, if and only if a module M is semi N-injective and $Ker({\alpha}){\subseteq}^{\oplus}N$ for all ${\alpha}{\in}[M,N]$. Also, it is proved that the bi-module [M, N] is pi if and only if a module N is direct M-projective and for any ${\alpha}{\in}[M,N]$ there exists ${\beta}{\in}[M,N]$ such that $Im({\alpha}{\beta}){\subseteq}^{\oplus}N$, if and only if a module M is direct N-injective and for any ${\alpha}{\in}[M,N]$ there exists ${\beta}{\in}[M,N]$ such that $Ker({\beta}{\alpha}){\subseteq}^{\oplus}M$. The relationship between the Jacobson radical and the (co)singular ideal of [M, N] is described.