• 제목/요약/키워드: algebraic function

검색결과 207건 처리시간 0.025초

LFM 신호에 대한 효과적인 시간지연 및 도플러 추정 (A Computationally Efficient Time Delay and Doppler Estimation for the LFM Signal)

  • 윤경식;박도현;이철목;이균경
    • 한국음향학회지
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    • 제20권8호
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    • pp.58-66
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    • 2001
  • 본논문에서는 LFM (Linear Frequency Modulated) 신호를 사용하는 능동소나에서 적은 연산량으로 표적반사신호의 시간지연과 도플러를 추정하는 기법을 제안하였다. 제안한 기법에서는 일반적인 추정기법들이 가지는 연산량의 문제를 해결하기 위해 LFM 신호의 상호모호함수 (cross ambiguity function)에서 시간지연과 도플러의 관계를 나타내는 대수적인 관계식을 이용하였다. FML (Fast Maximum Likelihood) 기법을 기반으로 하여 시간지연과 도플러의 대수적 관계식을 유도하였으며, 이를 이용하여 일반적인 2차원 탐색 대신 2번의 1차원 탐색으로 시간지연과 도플러를 추정하였다. 다양한 신호대 잡음비 (SNR)에서 제안한 알고리즘의 추정오차를 분석하였으며, 제안한 알고리즘이 우수한 추정 성능을 보임을 확인하였다.

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새로운 BPF 변환식을 이용한 동적 시스템의 대수적 보상기 설계 (Algebraic compensator design for dynamic systems using a novel BPF transformation method)

  • 안비오;김민형;김종부;이재춘;오민환;안두수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.595-597
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    • 1998
  • This paper deals with an algebraic compensator design for dynamic systems using a novel BPF transformation method. To obtain an algebraic compensator for the system, block pulse function's differential operation is used. Compare to unalgebraic compensator, proposed algebraic compensator is less sensitive to the measurement noise.

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다구찌 품질손실개념에 의한 다특성치 품질손실함수 도출의 분석적 접근방법 (An Analytical Approach to Derive the Quality Loss Function with Multi-characteristics by Taguchi's Quality Loss Concept)

  • 배후석;임채관
    • 품질경영학회지
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    • 제48권4호
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    • pp.535-552
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    • 2020
  • Purpose: The main theme of this study is to derive a specific quality loss function with multiple characteristics according to the same analytical structure as the single characteristic quality loss function of Taguchi. In other words, it presents an analytical framework for measuring quality costs that can be controlled in practice. Methods: This study followed the analytical methodology through geometric, linear algebraic, and statistical approaches Results: The function suggested by this study is as follows; $$L(x_1,x_2,{\cdots},x_t)={\sum\limits_{i=1}^{t}}k_i\{x_i+{\sum\limits_{j=1}^{t}}\({\rho}_{ij}{\frac{d_i}{d_j}}\)x_j\}x_i$$ Conclusion: This paper derived the quality loss function with multiple quality characteristics to expand the usefulness of the Taguchi quality loss function. The function derived in this paper would be more meaningful to estimate quality costs under the practical situation and general structure with multiple quality characteristics than the function by linear algebraic approach in response surface analysis.

대수기하부호와 Hermitian 함수체의 부분체 (Algebraic Geometric Codes and Subfields of Hermitian Function Field)

  • 양경철
    • 한국통신학회논문지
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    • 제19권3호
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    • pp.418-424
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    • 1994
  • GF(q2) 위의 Hermitian 함수체와 마찬가지로, q+1을 나누는 정수 s에 대해 y + y=x 로 정의되는 부분체들도 Hasse-Weil 한계식에 의해 허용되는 최대수의 1차 점들을 가지므로 최상이 된다. 본 논문에 서는 Hermitian 함수체의 이러한 부분체들로부터 생성되는 기하 Goppa 부호(혹은 대수기하부호)룰 연구한다. n을 부호장, m을 이들 부호의 차원과 최소거리를 결정하는 패러미터라 할때, n보다 작은 임의의 m에 대해 차원과 최소거리가 명확하면서도 완전하게 주어진다.

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블럭펄스 함수를 이용한 기준 모델 적응 제어기 설계 (The Design of Model Reference Adaptive Controller via Block Pulse Functions)

  • 김진태;김태훈;이명규;안두수
    • 대한전기학회논문지:시스템및제어부문D
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    • 제51권1호
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    • pp.1-7
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    • 2002
  • This paper proposes a algebraic parameter determination of MRA(Model Reference Adaptive Control) controller using block Pulse functions and block Pulse function's differential operation. Generally, adaption is performed by solving differential equations which describe adaptive low for updating controller parameter. The proposes algorithm transforms differential equations into algebraic equation, which can be solved much more easily inn a recursive manner. We believe that proposes methods are very attractive and proper for parameter estimation of MRAC controller on account of its simplicity and computational convergence.

Unknown Inputs Observer Design Via Block Pulse Functions

  • Ahn, Pius
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권3호
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    • pp.205-211
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    • 2002
  • Unknown inputs observer(UIO) which is achieved by the coordinate transformation method has the differential of system outputs in the observer and the equation for unknown inputs estimation. Generally, the differential of system outputs in the observer can be eliminated by defining a new variable. But it brings about the partition of the observer into two subsystems and need of an additional differential of system outputs still remained to estimate the unknown inputs. Therefore, the block pulse function expansions and its differential operation which is a newly derived in this paper are presented to alleviate such problems from an algebraic form.

ALGEBRAIC POINTS ON THE PROJECTIVE LINE

  • Ih, Su-Ion
    • 대한수학회지
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    • 제45권6호
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    • pp.1635-1646
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    • 2008
  • Schanuel's formula describes the distribution of rational points on projective space. In this paper we will extend it to algebraic points of bounded degree in the case of ${\mathbb{P}}^1$. The estimate formula will also give an explicit error term which is quite small relative to the leading term. It will also lead to a quasi-asymptotic formula for the number of points of bounded degree on ${\mathbb{P}}^1$ according as the height bound goes to $\infty$.

대수적 미지입력관측기 설계를 위한 직교함수의 응용 (Comparison of Algebraic design methodologies for Unknown Inputs Observer via Orthogonal Functions)

  • 안비오;이승진;김현우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 D
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    • pp.2543-2545
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    • 2005
  • It is well known that the orthogonal function is a very useful to estimate an unknown inputs in the linear dynamic systems for its recursive algebraic algorithm. At this aspects, derivative operation(matrix) of orthogonal functions(walsh, block pulse and haar) are introduced and shown how it can useful to design an UIO(unknown inputs observer) design.

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ALGEBRAIC OPERATIONS ON FUZZY NUMBERS USING OF LINEAR FUNCTIONS

  • Myung, Jae Deuk
    • Korean Journal of Mathematics
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    • 제11권1호
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    • pp.1-7
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    • 2003
  • In this paper, we introduce two types of algebraic operations on fuzzy numbers using piecewise linear functions and then show that the Zadeh implication is smaller than the Diense-Rescher implication, which is smaller than the Lukasiewicz implication. If ($f$, *) is an available pair, then $A*_mB{\leq}A*_pB{\leq}A*_jB$.

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