• Title/Summary/Keyword: Z변환

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Analytic Problems in Applying the Properties of teh Modified z-Transform (변형 Z변환의 특헝의 적용상의 해석적 문제)

  • Chung, Tae-Sang;Lee , Jae-Seok
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.12
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    • pp.549-555
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    • 2002
  • While the z-transform method is a basic mathematical tool to relate the imput/output signals only at the sampling instants in analyzing and designing sampled-data control systems, the modified z-transform which is a variation of the z-transform is widely used to represent the details of continuous signals between the sampling instants. To relate the modified z-transform to the corresponding regular z-transform, some properties were established regarding the modified z-transform method. This paper will show that these properties, in their current forms, cause come analytic problems, when they are applied to the signals with discontinuities at the sampling instants, which accordingly limit their applications significantly. In this paper, those analytic problems will be investigated, and the theorems of the modified z-transform will be revised by adopting new notations on the z-transform so that those can be correctly interpreted and used without any analytic problems. Also some additional useful schemes of applying the modified z-transform will be developed.

Extraction of Initial Conditions For a Recursive Numerical Inverse z-Transform Method (차분방정식에 의한 역 z변환 계산을 위한 초기 조건의 추출)

  • Lee, Jae-Seok;Jeong, Tae-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.8
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    • pp.368-373
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    • 2002
  • The inverse z-transform of a z-domain expression of a sequence can be Performed in many different methods among which the recursive computational method is based on the difference equation. In applying this method, a few initial values of the sequence should be obtained separately. Although the existing method generates the right initial values of the sequence, its derivation and justification are not theoretically in view of the definition of z-transform and its shift theorems. In this paper a general approach for formulating a difference equation and for obtaining required initial values of a sequence is proposed, which completely complies to the definition of the z-transform and an interpretation of the validity of the existing method which is theoretically incorrect.

Three Phase Quasi Z-source AC/AC Power Converter Using a Simple Duty Cycle Control Scheme (간단한 듀티비 제어기법에 의한 3상 Quasi Z-소스 AC/AC 전력 변환기)

  • Eom, Jun-Hyun;Jung, Young-Gook
    • Proceedings of the KIPE Conference
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    • 2016.07a
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    • pp.435-436
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    • 2016
  • 본 논문에서는 3상 Quasi Z-소스 AC/AC 전력변환기를 제안한다. 제안된 전력변환기는 3대의 단상 Quasi Z-소스 AC/AC 컨버터로 구성되어 있으며, 간단한 듀티 비 제어만으로도 동상 및 역상의 벅-부스트 출력 전압의 발생이 가능하다. 제안된 방식은 PSIM 시뮬레이션을 통하여 타당성을 확인하였다.

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A Reconsideration of the Causality Requirement in Proving the z-Transform of a Discrete Convolution Sum (이산 Convolution 적산의 z변환의 증명을 위한 인과성의 필요에 대한 재고)

  • Chung Tae-Sang;Lee Jae Seok
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.1
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    • pp.51-54
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    • 2003
  • The z-transform method is a basic mathematical tool in analyzing and designing digital signal processing systems for discrete input and output signals. There are may cases where the output signal is in the form of a discrete convolution sum of an input function and a designed digital processing algorithm function. It is well known that the z-transform of the convolution sum becomes the product of the two z-transforms of the input function and the digital processing function, whose proofs require the causality of the digital signal processing function in the almost all the available references. However, not all of the convolution sum functions are based on the causality. Many digital signal processing systems such as image processing system may depend not on the time information but on the spatial information, which has nothing to do with causality requirement. Thus, the application of the causality-based z-transform theorem on the convolution sum cannot be used without difficulty in this case. This paper proves the z-transform theorem on the discrete convolution sum without causality requirement, and make it possible for the theorem to be used in analysis and desing for any cases.

A Study on compensation of Frequency Distortion of SCF by Using Prewarping Procedure (Prewarping법을 이용한 SCF의 주파수 #곡 보상에 관한 연구)

  • 최민호;김도현
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.69-74
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    • 1985
  • In this paper five-order Butterworth Low pass active RC filter is designed by using FDNR (Frequency Dependent Ncgative Resistor) Method from LC ladder filter having the lowest sensitivity. In process of Transformation to SCF (Switched Capacitor Filter) from active RC filter, Bilinear Z Transfomation method is utilized. By the design of SCF using the bilinear Z transform method the problem of aliasing can be avoided, but the frequency distortion is generated. The transformation from analog filter to digital filter is not equal in the region of the cut off frequency caused by this effect. Avoiding the problem of this effect, we use prewarping method. The result shows that the prewarped SCF makes more remarkable improvement in the frequency distortion than SCF which is transformed by using bilinear Z transform.

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A Study on the Computation of Digital Filter Frequency characteristics Based on a Difference Equation (차분방정식에 기초를 둔 디지털 필터의 주파수 특성 계산에 관한 연구)

  • 박인정;이태원
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.3
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    • pp.23-30
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    • 1985
  • When a digital filter implementation is based on a difference equation, the frequency characteristics cannot be obtained by direct computation, but be obtained by experiment or analogized by Z-transform. In this paper, the method to compute the frequency magnitude response of the function expressed in a difference equation is derived from PARSEVAL's relation. To verify the validity of this new method two types of digital filters are implemented. Both filters' characteristics are measured and their values are compared with the value obtained by a Z-transform and with the value by a difference equation. The result shows that the measured values and the values obtained by the difference equaton are more closer than the values by a Z-transform. And the difference-equaton-based filters' showed sharper roll off characteristics than the Z-transform-based filters. Therefore when a digital filter implementation is based on a difference equation, the characteristics computation by a difference equation predicts better practical results than based on Z-transform.

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A Study on the Distinction of Solid Characteristics Using Focused Acoustic Wave (집속음향파를 이용한 고체특성 판별에 관한 연구)

  • Moon, Gun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.92-99
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    • 1993
  • On this study. Constructed the system detecting the reflective acoustic waves from the solid-samples using the 3MHZ focused-acoustic transducer and detected the V(Z) charateristics curves varied by the distance between the focusing position and the solid surface. The results of the experimental detection to various solid materials showed that the materials have their own unique shape of V(Z) curves. This paper suggested the possibility distinguishing the solid characteristics by analysing the V (Z) curves.

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A Study on Extended Z for the Concurrency Specification (병행성 명세를 위한 확장된 Z의 연구)

  • Nam, Seong-Uk;Cho, Young-Suck
    • Proceedings of the Korea Information Processing Society Conference
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    • 2000.10a
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    • pp.575-578
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    • 2000
  • 소프트웨어 개발 초기 단계에서의 부정확에 기인한 에러들을 줄이기 위한 노력이나 기술이 절실하다. [1][2] 정형 명세 기법은 명세 단계에서 기인하는 에러들을 줄이기 위해 Z 나 VDM 과 같은 정형 표기법(formal notation)에 의해 쓰여지며, 정형성(formality)과 추상화(abstraction)의 제공 등 두 가지 사항에 대한 요구사항을 충족시켜 준다. [3][4] 그러나, Z 표기법의 병행성 표현 능력의 부족으로 병행성을 요구하는 시스템의 명세에서 사용할 수 없거나, Process Algebra의 CSP (Communicating Sequence Processes)등과 같은 다른 정형 언어와 함께 명세해야 하는 단점이 있다. 본 논문은 이를 보완하기 위해 범용 목적의 명세 언어인 기존의 Z 를 확장하여 병행성을 명세 가능하도록 하고자 한다. 이를 위해서 병행 프로세스(concurrent process) 개념을 도입하며, 이를 나타내는 표기를 정의하고 사용한다. 또한, 병행성의 제어를 위해서 프로시듀어 기술부(procedure description)의 도입 및 관련 스키마(schema)들을 정의한다. 아울러, 확장된 Z 로 작성된 명세서를 목적 언어로 자동 변환(translate)하기 위한 변환기(translator)를 Lex 와 Yacc을 이용하여 구현하고, 변환된 목적 언어 파일을 실행하여 확장된 Z 가 모호성을 포함하지 않는지 시뮬레이션을 통해 검증한다.

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Evaluation of Ride Comfort in Time Domain by Using z-Transform (z변환을 이용한 시간영역에서의 승차감 평가)

  • Kim, Young-Guk;Kim, Seog-Won;Park, Chan-Kyoung;Kim, Sang-Soo;Kim, Ki-Hwan
    • Journal of the Korean Society for Railway
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    • v.14 no.6
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    • pp.495-500
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    • 2011
  • In evaluating the ride comfort of railway vehicles, relationship between passenger's feeling and vibration characteristics is very important because human feeling is dependent on frequency spectrum of vibration. Therefore, the weighing curves in frequency domain are used to evaluate the ride comfort of railway vehicles. These curves have been defined in the Laplace transfer functions. It is necessary to convert the Laplace weighing function to the z weighing function in order to obtain the rms value in the time domain. In the present paper, we have applied Tustin's approximation to transform the Laplace weighing function to the z weighing and validated this method by reviewing the various cases.

Classification of Apparel Fabrics according to Rustling Sounds and Their Transformed Colors

  • Park, Kye-Youn;Kim, Chun-Jeong;Chung, Hye-Jin;Cho, Gil-Soo
    • Science of Emotion and Sensibility
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    • v.5 no.2
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    • pp.23-28
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    • 2002
  • The purpose of this study was to classify apparel fabrics according to rustling rounds and to analyze their transformed colors and mechanical properties. The rustling sounds of apparel fabrics were recorded and then transformed into colors using Mori's color-transforming program. The specimens were clustered into five groups according to sound properties, and each group was named as ‘Silky’,‘Crispy’,‘Paper-like’,‘Worsted’, and ‘Flaxy’, respectively. The Silky consisted of smooth and soft silk fabrics had the lowest value of LPT, $\Delta$f, ARC , loudness(B) and sharpness(z). Their transformed colors showed lots of red portion and color counts. The Crispy with crepe fabrics showed relatively low loudness(z) and sharpness(B), but diverse colors and color counts were appeared. The Paper-like showed the highest value of LPT, $\Delta$f and loudness(z). The Worsted composed of wool and wool-Like fabrics showed high values of LPT, $\Delta$f, loudness(z) and sharpness(B). The transformed rotors of the Paper-like and Worsted showed the blue mostly but color counts were less than the others. The Flaxy with rugged flax fabric had the highest fluctuation strength, and their transformed colors showed diversity.

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