• 대한전기학회:학술대회논문집
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• 대한전기학회 1991년도 하계학술대회 논문집
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• pp.657-665
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• 1991

Although orthogonal function is introduced in control theory in early 1970's, it is not perfect. Since the concept of integral operator by Chen and Hsiao in mid 1970's, orthogonal function (for example Walsh, Block-pulse, Haar, Laguerre, Legendre, Chebychev etc) has been widely applied In system's analysis and identification, model reduction, state estimation, optimal control, signal processing, image processing, EEG, and ECG etc. The reason why Walsh Functions introduces in control theory is that as integral of Walsh function is also developed in Walsh orthogonal function, if we transfer give system into integral equation and introduce Walsh function. We can know that system's characteristic by algebraical expression. This approach is based on least square error and that result is expressed as computer calculation and partly continuous constant value which is easy to apply. Such a Walsh function has been actively studied in USA, TAIWAN, INDO, CHINA, EUROPE etc and in domestic, author has studied it for 10 years since it was is introduced in 1982. This paper is consider the that author has studied for 10 years and Walsh function's efficiency.

• 대한기계학회논문집
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• 제10권1호
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• pp.164-169
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• 1986

본 연구에서는 구성원의 분포를 명확히 지시하는 체적 distribution을 기본 으로하고 Walsh 해석을 적용하므로서 혼합상태를 일련의 수치로 표시한다.이변환 과정에서 정보량의 분포가 변하는 현상을 고찰한 후 그 특징을 비균질체의 단순한 형태인 다공성고체의 체적변화거동에 응용하여, 현재 통용되는 구형모텔해석의 이론 적 근거를 밝힌다.

• 한국통신학회논문지
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• 제32권3C호
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• pp.331-337
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• 2007

본 논문에서는 MIMO-OFDM 시스템에서 월쉬 부호화된 훈련신호를 이용하는 새로운 채널 추정 방식을 제안하였다. 월쉬 부호화된 훈련신호는 시간 영역에서 서로 직교하도록 설계된다. 이러한 직교성을 이용하여 월쉬 디코딩을 수행하면 시간 영역에서 원하는 훈련 신호를 분리할 수 있고 채널 추정이 가능하다. 컴퓨터 시뮬레이션 결과 제안된 방법은 계산량 감소에도 불구하고 최적 훈련 신호를 사용하는Li의 원래 방법[4]과 비교했을 때 거의 동일한 mean square error (MSE) 성능을 보였다.

• 융합신호처리학회논문지
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• 제9권4호
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• pp.304-312
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• 2008

Walsh 코드나 Golay 코드와 같은 직교 코드는 동기가 맞지 않은 경우 상호상관 값이 커질 수 있으므로 CDMA 시스템의 역방향 링크와 같이 사용자간 동기가 맞지 않는 경우 직교성이 손상되어 사용자간 간섭이 발생하기 때문에 사용자 구별용으로 거의 사용되지 않는다. Wysocki는 기존의 Walsh-Hadamard 행렬에 직교변환 행렬을 곱함으로써 생성된 코드들이 직교성을 유지하면서 코드간 상호상관 값이 커지지 않도록 할 수 있음을 보였다. Soberly와 Wysocki는 Golay 코드에 대해서 유사한 상호상관 함수의 제어방식을 제안하였다. 이것은 적절한 직교변환을 사용하면 Walsh 코드나 Golay 코드의 상호상관 값을 감소시킬 수 있고, 따라서 CDMA 역방향 링크에서 사용자 구별용으로 사용될 수 있음을 의미한다. 본 논문에서는 비동기 CDMA 링크의 성능에 영향을 주는 코드간의 상호상관 관련 파라미터들을 알아보고, 직교변환에 의해 이들 파라미터들이 어떻게 변화되는지 분석하였다. Walsh 코드와 Golay 코드에 대한 직교변환 행렬을 설계함에 있어 수정된 Walsh 또는 Golay 코드의 직교성을 유지하면서 결과 코드의 비주기 상호상관 피크치의 최대값($ACC_{max}$) 또는 비주기 상호상관의 제곱평균($R_{cc}$)을 최소화하도록 하였다. 직교변환에 의해 생성된 코드집합을 사용한 CDMA 시스템에 대하여 사용자간 동기가 맞지 않은 경우에 대해 비트오율 성능을 시뮬레이션을 통해 분석하여 성능을 개선시킬 수 있음을 확인하였다.

• 대한전기학회논문지
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• 제35권3호
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• pp.95-101
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• 1986

This paper describes two methods for analyzing distributed parameter systems (DPS) via Walsh series expansions. Firstly, a Walsh-Galerkin expansion approach technique (WGA) introduced by S.G. Tzafestas. is considered. The method which is based on Galerkin scheme, is well established by using Walsh series. But then, there are some difficulty in finding the proper basic functions at each systems. Secondly, a double Walsh series approach technique (DWA) is developed. The essential feature of DWA propoesed here is that it reduces the analysis problem of DPS to that of solving a set of linear algebraic equation which is extended in double Walsh series.

• 대한전기학회논문지:시스템및제어부문D
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• 제49권11호
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• pp.610-616
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• 2000

This paper presents an active noise control algorithm via Walsh transform domain controller learned by genetic algorithm. Typical active noise control algorithms such as the filtered-x lms algorithm are based on the gradient algorithm. Gradient algorithm have two major problems; local minima and eigenvalue ratio. To solve these problems, we propose a combined algorithm which consist of genetic learning algorithm and discrete Walsh transform called Walsh Transform Domain Genetic Algorithm(WTDGA). Analyses and computer simulations on the effect of Walsh transform to the genetic algorithm are performed. The results show that WTDGA increase convergence speed and reduce steady state errors.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1995년도 하계학술대회 논문집 B
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• pp.758-760
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• 1995

The purpose of noise cancellation is to estimating signals corrupted by additive noise or interference. In this paper, an adaptive noise canceller is built from a Walsh filter with a new adaptive algorithm. The Walsh filter consists of a Walsh function. Since the Walsh functions are either even or odd functions, the covariance matrix in the tap gain adjustment algorithm can be reduced to a simple form. In this paper, minimization of the mean squre error is accomplished by a proposed adaptive algorithm. The conventional adaptation techniques use a fixed time constant convergence factor by trial and error methods. In this paper, a convergence factor is obtained that is tailored for each adaptive filter coefficient and is updated at each block iteration.

• 대한전기학회논문지:전력기술부문A
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• 제48권5호
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• pp.601-606
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• 1999

A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily.

• 대한전기학회논문지
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• 제41권8호
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• pp.914-921
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• 1992

In this paper, we introduce a Walsh network and an LMS algorithm, and show how these can be realized as an adaptive equalizer. The Walsh network is built from a set of Walsh and Block pulse functions. In the LMS algorithm, the convergence factor is an important design parameter because it governs stability and convergence speed, which depend on the proper choice of the convergence facotr. The conventional adaptation techniques use a fixed time constant convergence factor by the method of trial and error. In this paper, we propose an optimal method in the choice of the convergence factor. The proposed algorithm depends on the received signal and the output of the Walsh network in real time.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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• pp.640-643
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• 2003

A Walsh function based associative memory is capable of storing m patterns in a single pattern storage space with Walsh encoding of each pattern. Furthermore, each stored pattern can be matched against the stored patterns extremely fast using algorithmic parallel processing. As such, this special type of memory is ideal for real-time processing of large scale information. However this incredible efficiency generates large amount of crosstalk between stored patterns that incurs mis-recognition. This crosstalk is a function of the set of different sequencies [number of zero crossings] of the Walsh function associated with each pattern to be stored. This sequency set is thus optimized in this paper to minimize mis-recognition, as well as to maximize memory saying. In this paper, this Walsh memory has been applied to the problem of face recognition, where PCA is applied to dimensionality reduction. The maximum Walsh spectral component and genetic algorithm (GA) are applied to determine the optimal Walsh function set to be associated with the data to be stored. The experimental results indicate that the proposed methods provide a novel and robust technology to achieve an error-free, real-time, and memory-saving recognition of large scale patterns.