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- W2029046986 abstract "위너-킨친 정리(Wiener-Khinchin)는 어떤 신호의 자기상관 함수(Autocorrelation)가 그 신호의 일율 분광띠(Power Spectrum)에 해당됨을 보이는 것으로써, 분광학 및 통신 공학에서 신호 처리와 관련된 매우 중요한 정리이다. 학부 실험실에서 이 정리를 시현하려면 상관기(Correlator)와 신호 처리 장비와 같은 비교적 고가의 장비가 요구되므로, 정리의 시현이 용이하지 않다. 근래에 들어 디지털 공학의 발전과 함께 보급되고 있는 디지탈 오실로스코프들은 측정 결과의 수치화와 그들에 관한 연산 기능이 포함되어 있어, 이 정리를 간단히 시현시킬 수 있다. 본고에서는 정리의 유도 과정에서 얻어지는 실험 이론과 함께 디지털 오실로스코프를 이용해서 이 정리를 시현시키는 방법을 소개한다. 1930년대에 소개된 정리를 다시 재조명하려는 이유는, 비록 정리가 오래전에 소개되었다고는 할지라도 구체적인 유도 과정이나 물리 분야와 관련된 내용들은 우리에게는 여전히 잘 알려져 있지 않기 때문이다. 유도 과정에서 교류 복소 총저항(Impedence) Z, 역율(Power Factor), 위너 분광곡선의 확장된 물리적 의미와 함께, 나아가, 흑체 복사에서 플랑크(M. Planck)의 양자화에 대한 배경이 자연스럽게 나타나므로, 일반물리학, 현대물리학, 분광학 및 물성실험 등과 관련된 강의에 참고가 될 수 있다고 생각된다. The Wiener-Khinchin theorem, which means that the autocorrelation function of a signal corresponds to the power spectrum of the signal, is very important in signal processing, spectroscopy and telecommunications engineering. However, because of needs for some relatively expensive equipments such as a correlator and the signal processing system, its demonstration in most undergraduate class is not easy so far. Recently, digital oscilloscopes whose functions can be replaced foresaid equipments are marketed with development of digital engineering. In this paper, a simple demonstration of the theorem is given by a digital storage oscilloscope and a personal computer with its theoretical background. The reason that deals again with this theorem which has been introduced in 1930 is that it has been not well informed yet to us and theoretical background of the demonstration is directly introduced from its driving process. Through deriving process of the theorem, some extended physical meanings of the impedance, power, power factor, Wiener spectrum, linear system response and, furthermore, basic idea of the Planck's quantization in the black body theory reveal themselves naturally. Hence it can be referred to lectures in general physics, modern physics, spectroscopy and material characterization experiment." @default.
- W2029046986 created "2016-06-24" @default.
- W2029046986 creator A5036586539 @default.
- W2029046986 date "2013-10-25" @default.
- W2029046986 modified "2023-09-27" @default.
- W2029046986 title "A simple Demonstration of the Wiener-Khinchin Theorem using a Digital Oscilloscope and Personal Computer" @default.
- W2029046986 cites W1563200777 @default.
- W2029046986 doi "https://doi.org/10.3807/kjop.2013.24.5.245" @default.
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