• Title/Summary/Keyword: length structure

Search Result 3,784, Processing Time 0.029 seconds

Implant Isolation Characteristics for 1.25 Gbps Monolithic Integrated Bi-Directional Optoelectronic SoC (1.25 Gbps 단일집적 양방향 광전 SoC를 위한 임플란트 절연 특성 분석)

  • Kim, Sung-Il;Kang, Kwang-Yong;Lee, Hai-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.44 no.8
    • /
    • pp.52-59
    • /
    • 2007
  • In this paper, we analyzed and measured implant isolation characteristics for a 1.25 Gbps monolithic integrated hi-directional (M-BiDi) optoelectronic system-on-a-chip, which is a key component to constitute gigabit passive optical networks (PONs) for a fiber-to-the-home (FTTH). Also, we derived an equivalent circuit of the implant structure under various DC bias conditions. The 1.25 Gbps M-BiDi transmit-receive SoC consists of a laser diode with a monitor photodiode as a transmitter and a digital photodiode as a digital data receiver on the same InP wafer According to IEEE 802.3ah and ITU-T G.983.3 standards, a receiver sensitivity of the digital receiver has to satisfy under -24 dBm @ BER=10-12. Therefore, the electrical crosstalk levels have to maintain less than -86 dB from DC to 3 GHz. From analysed and measured results of the implant structure, the M-BiDi SoC with the implant area of 20 mm width and more than 200 mm distance between the laser diode and monitor photodiode, and between the monitor photodiode and digital photodiode, satisfies the electrical crosstalk level. These implant characteristics can be used for the design and fabrication of an optoelectronic SoC design, and expended to a mixed-mode SoC field.

Community Structure of Fish and Inhabiting Status of Natural Monument Cobitis choii in the Baekgok Stream, a Tributary of the Geum River Drainage Systrem of Korea (금강 지류 백곡천의 어류군집 및 천연기념물 미호종개 Cobitis choii의 서식양상)

  • Ko, Myeong-Hun;Hong, Yang-Ki;Kim, Hae-Lim;Bang, In-Chul
    • Korean Journal of Ichthyology
    • /
    • v.26 no.2
    • /
    • pp.99-111
    • /
    • 2014
  • Community structure of fish and inhabiting status of natural monument and endangered species, Cobitis choii were investigated in the Baekgok Stream, a tributary of the Geum River drainage system of Korea from May to November 2012. Ten-15 fish species inhabited upper stream (St. 1~St. 3) with a Aa or Aa-Bb river type composed of mostly pebble and cobble bottoms. 15~21 species did middle stream (St. 4~St. 5) with Aa or Aa-Bb type composed of mostly cobble, boulder and pebble bottoms. Nine species did Reservoir Baekgok (St. 6) with composed of mostly mud bottoms, and Seven species did Reservoir Baekgok outflow (St. 7) with Aa-Bb type composed of mostly boulder and cobble bottoms. And 20~23 species did lower stream (St. 8~St. 9) with a Bb-Bc type composed of mostly cobble and sand bottoms. A total of 35 species belonging to ten families were found in the stream during the survey. The dominant species were in the order of Zacco platypus (34.7%), Pungtungia herzi (9.4%) and Microphysogobio yaluensis (9.0%). Other abundant species included Tridentiger bifasciatus (8.2%), Pseudogobio esocinus (5.9%), Carassius auratus (4.6%), Squalidus chankaensis tsuchigae (3.7%), Rhinogobius brunneus (3.0%). Among residing species, ten (28.6%) species were endemic to Korea, one (Cobits choii) was endangered, and two (Micropterus salmoides and C. cuvieri) were non-indigenous. Natural monument and endangered species, C. choii were only inhabited St. 5, and they are inhabited 30~100 cm in water depth, sand bottom and slowly velocity. Using the mark-recapture method, populations were estimated at $7,838{\pm}6,290$ individuals. Age group in May estimated from total length indicated that the 38~45 mm group is 0 year old, the 46~60 mm group is 1 years old, the 61~80 mm group is 2 years old, and the 81~93 mm group is more than 3 years old. Condition factor (${\times}10^5) was 0.36~0.39 and 0.35~0.38 for female and male, respectively, and they are 13.5% were infected with parasites (digenea). We are discussed the health status, threats and conservation strategies of C. choii in the Baekgok Stream.

The Crystal Structure of Cholesteryl Carbonates (콜레스테롤 카보네이트 결정구조에 관한 연구)

  • 박영자;신정미
    • Korean Journal of Crystallography
    • /
    • v.7 no.1
    • /
    • pp.8-19
    • /
    • 1996
  • Cholestryl Methyl and Propyl Carbonate(CH3OCOOC27H45, C3H7OCOOC27H45) are monoclinic, space group P21, with a=17.014(1), b=7.682(1), c=10.612(1)Å, β=103.05(1)°, Z=2, V=1351.16Å3, Dc=1.09 g/cm3 for methyl carbonate, and with a=13.683(1), b=11.864(2), c=18.904(2)Å, β=106.30(1)°, Z=4, V=2945.4Å3, Dc=1.06 g/cm3, Dm=1.06 g/cm3 for propyl carbonate. The intensity data were collected on an Enraf-Nonius CAD-4 diffractometer with a graphite monochromated Cu-Kα radiation. The structure was solved by direct methods and refined by full matrix least-squares methods. The final R factor was 0.051 for 2323 observed reflections for methyl carbonate and 0.074 for 3323 observed reflections for propyl carbonate. Compared with other cholesteryl derivatives, the cholesteryl ring and tail region of the molecules are normal. The molecules are stacked in clearly separated layers. At center of the layer, there are cholesteryl-C(17) side chain interactions. The interface region between layers is occupied by the loosely packed methyl carbonate chains. The structure of cholesteryl propyl carbonates have two propyl carbonates have two molecules(A, B) that are not related by crystal symmetry and have their tetracyclic system almost parallel to each other. Cholesteryl-cholesteryl interactions between symmetry related A-molecules, and cholesteryl-C(17) side chain interactions between symmetry related B-molecules occur at the center of the layers and these molecules stack along 2₁ screw axes. There are also C(17)chain-carbonate chain and C(17)chain-C(17)chain interactions in the interface region between layers. There is efficient packing between cholesteryl ring systems in propyl carbonates. Temperature ranges of cholesteric mesophases of cholesteryl alkyl cargonates are narrow for methyl, pentyl and hexyl carbonates, and rather broader for ethyl and propyl carbonates. Cholesteryl-isotropic transitions change very little with chain length.

  • PDF

An Experimental Study on Evaluation of Axially Compressive Buckling Strength of Corroded Temporary Steel (부식 손상된 가시설 강재의 축압축 좌굴강도 추정에 관한 실험적 연구)

  • Kim, In Tae;Lee, Myoung Jin;Shin, Chang Hee
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.15 no.6
    • /
    • pp.135-146
    • /
    • 2011
  • Steel structures have been generally painted to prevent corrosion damage. However, the painted film is deteriorated with increase in service life, and then corrosion damage resulting in cross sectional area occurs on steel surface. As a result, the buckling strength of steel structures can be decreased due to the corrosion damages. The evaluation method of the axial buckling strength of columns about a variety of section shapes and supporting conditions have been presented, but evaluation method of buckling strength about irregular nonprismatic columns is not established. In this study, the axial buckling strength of corroded steels was evaluated based on the buckling test results of corroded steel specimens that were cut off at a temporary steel structure. The corroded specimens were picked up total 10 specimens according to various slenderness ratio from the web of a temporary structure's main beam. The length of specimens is 200, 300, 400, 500 and 600mm respectively. The rust productions were removed by the chemical treatment. Then, the surface geometry was measured at intervals of $1{\times}1mm$ by using the optical 3D digitizing system, and the residual thickness of the specimens was calculated. The axial buckling test was performed on 10 corroded specimens and 12 non-corroded specimens under the fixed-fixed support condition. From the test results, the effect of corrosion damages on axial buckling load was investigated. Regardless of corrosion damage degree, the axial buckling strength of corroded specimens and non-corroded specimens was evaluated identically by using minimum average residual thickness or average residual thickness to minus its standard deviation. Reasonable measuring intervals of residual thickness was proposed by using the results to apply for practical works.

Geomorphic Features of Bing-gye Valley Area(Kyongbuk Province, South Korea) -Mainly about Talus- (의성 빙계계곡 일대의 지형적 특성 -테일러스를 중심으로-)

  • Jeon, Young-Gweon
    • Journal of the Korean association of regional geographers
    • /
    • v.4 no.2
    • /
    • pp.49-64
    • /
    • 1998
  • Bing-gye valley(Kyongbuk Province, South Korea) is well known as a tourist attraction because of its meteorologic characteristics that show subzero temperature during midsummer. Also, there are some interesting geomorphic features in the valley area. Therefore, the valley is worth researching in geomorphology field. The aim of this paper is to achieve two purposes. These are to clarify geomorphic features on talus within Bing-gye valley area, and to infer the origin of Bing-gye valley. The main results are summarized as follows. 1) The formation of Bing-gye valley It would be possible to infer the following two ideas regarding the formation of Bing-gye valley. One is that the valley was formed by differential erosion of stream along fault line, and the other is that the rate of upheaval comparatively exceeded the rate of stream erosion. Especially, the latter may be associated with the fact that the width of the valley is much narrow. Judging that the fact the width of the valley is much narrow, compared with one of its upper or lower valley, it is inferred that Bing-gye valley is transverse valley. 2) The geomorphic features of talus (1) Pattern It seems to be true that the removal of matrix(finer materials) by the running water beneath the surface can result in partly collapse hollows. Taluses are tongue-shaped or cone-shaped in appearance. They are $120{\sim}200m$ in length, $30{\sim}40m$ in maximum width. and $32{\sim}33^{\circ}$ in mean slope gradient. The component blocks are mostly homogeneous in size and shape(angular), which reflect highly jointed free face produced by frost action under periglacial environment. (2) Origin On the basis of previous studies, the type of the talus is classified into rock fall talus. When considered in conjunction with the degrees of both weathering of blocks and hardness of blocks, it can be explained that the talus was formed under periglacial environment in pleistocene time. (3) The inner structure of block accumulation I recognize a three-layered structure in the talus as follows: (a) superficial layer; debris with openwork texture at the surface, 1.3m thick. (b) intermediate layer: small debris(about 5cm in diameter) with fine matrix(including humic soil), 70cm thick. (c) basal layer: over 2m beneath surface, almost pure soil horizon without debris (4) The stage of landform development Most of the blocks are now covered with lichen, and/or a mantle of weathering. It is believed that downslope movement by talus creep well explains the formation of concave slope of the talus. There is no evidence of present motion in the deposit. Judging from above-mentioned facts, the talus of this study area appears to be inactive and fossil landform.

  • PDF

An Examination on the Origin of Stone Pagodas of the Silla Kingdom (신라석탑(新羅石塔)의 시원(始源) 고찰(考察))

  • Nam, Si Jin
    • Korean Journal of Heritage: History & Science
    • /
    • v.42 no.2
    • /
    • pp.154-169
    • /
    • 2009
  • Korea is famous for a number of stone pagodas. In particular, it is noticeable that the stone pagodas came after wooden pagodas in all the Kingdoms of Goguryeo, Baekje, and Silla. Since the advent of wooden pagodas, it was during the latter half period of Three Kingdoms(especially, in the early Seventh century) that the first stone pagoda appeared at Mireuksa Temple site in imitation of the wooden ones. Now that no one can deny that Korean stone pagodas have developed, imitating the wooden pagodas. It is also obvious that the Stone Pagoda at Mireuksa site is the prototype of Korean stone pagodas. However, this study casts doubt on the theory that the stone pagodas in the Silla Kingdom originated not from the wooden pagodas, but from the brick pagodas, whereas the stone pagodas in Baekje Kingdom which has been said to come from the wooden ones. The fact that the temples and pagodas in both Baekje and Silla were erected by the same builders and technicians is one of the evidences supporting the assertion of the study. This study, accordingly, examines on the origin of the Silla pagodas by supposing the two genealogies. The first one can be summarized in chronological order as follows: starting from wooden pagodas, Stone Pagoda at Mireuksa site, Stone Pagoda at Jungrimsa site, Stone Pagoda at Gameunsa site, and Stone Pagoda at Goseonsa site. The second one, on the other hand, runs as follows: starting from bick pagodas, Stone Pagoda at Bunhwangsa, Uiseong Tapri five-storied Stone Pagoda, Seonsan Jukjang-ri five-storied Stone Pagoda, and Seonsan Naksan-ri three-storied Stone Pagoda in order. As the above genealogies show, the origin of the stone pagodas has been an controversy, especially because of the two different points of view: the one is that the roof-supporting strata(Okgaesuk-Bachim) originated from the brick structure and the ancient tomb ceiling of Goguryeo Kingdom, and the other is that the strata is a sort of the simplified design of the wooden roof structure. This study, however, takes note of the difference in length of the strata between the brick pagodas and the stone pagodas; the former stretches out its strata longer than the latter. Consequently, the study points out that the roof-supporting strata of the stone pagodas is originally a sort of modification of the wooden roof structure.

A Study on the Characteristics and Model of Lotus Pond in Joseon Royal Tombs (조선왕릉 연지(蓮池)의 특성과 전형)

  • Ko, Seung-Kwan;Koo, Bon-Hak;Choi, Jong-Hee
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.29 no.3
    • /
    • pp.116-123
    • /
    • 2011
  • This study investigates the characteristics(form, material, structure, method of construction, vegetation) and model of lotus pond in Joseon Royal Tombs for conservation and restoration. The objects of study are the lotus pond of Namyangju Gwangreung, Hyoreung, Gimpo Jangreung and Sungreung that are well-preserved and the record is remaining. The form is two plane types, square shaped include an island and square shaped. The pond is 7.5~81m in width and 6.5~45m in length and the island is 8~16m in diameter. The depth of water is 0.5~1.2m and the cross section form is narrow bottom and wide top. The material of shore protection is soil in Hyoreung, Gimpo Jangreung and Sungreung. The bottom is mud in all sites. I think that the main material of the lotus pond in Joseon Royal Tombs is soil. The lotus pond is built by soil bank in the structure and method of construction. The water supply and drainage are worked through the culvert. There are many kinds of plants in the lotus pond today, however I think that the model of vegetation of lotus pond in Joseon Royal Tombs is lotus the inside, pine tree, fir tree and flowers the around and pine tree the inside of island in compared the present and the old literature. In comparison with the lotus pond in Joseon Royal Tombs and the lotus pond in the Joseon palace, the material is the biggest difference. The main material is soil in Royal Tombs but isodomic in Royal Palace. I think that the difference of material in between two causes the difference of structure and method of construction. The Royal Tombs is valuable in architecture, landscape and esthetics, this study investigated the characteristics and model of lotus pond in Joseon Royal Tombs. I think that this study serves as a momentum to find a traditional technique in Royal water space and offer the foundation to plan in the contemporary water space.

The significance and structural improvement of burial mound in Geonwonneung and Heonneung in the early Joseon Dynasty - Focusing on the Byeongpungsadaeseok and Nanganseok - (조선초 건원릉과 헌릉의 봉릉 구조개선과 의의 - 병풍사대석과 난간석을 중심으로 -)

  • SHIN Jihye
    • Korean Journal of Heritage: History & Science
    • /
    • v.55 no.4
    • /
    • pp.118-135
    • /
    • 2022
  • The primary purpose of this study is to estimate the structure of Byeongpungsadaseok (屛風莎臺石) and Nanganseok (欄干石) in Geonwonneung (建元陵) and Heonneung (獻陵), which were built in the early of 15th century, based on the Annals of King Sejong. In addition, the ultimate purpose of this study is to reveal structural changes and their significance by comparing the differences with the contents of the dismantlement survey. Geonwonneung, Jereung(齊陵), and Heonneung were repaired at the same time in 1442, and the structural changes were the similar. The purpose of the repair in 1442 was to prevent water from flowing into the underground palace with smooth drainage. As a result of estimating the structure of Geonwonneung and Heonneung according to the records of the Annals of King Sejong, it was created in a very similar form to the Hyeonneung and Jeongneung of Goryeo. And it was clearly recognized that the Royal Tomb of Goryeo was followed. However, as the structure was improved in 1442, the unique characteristics of the Royal Tomb of the Joseon Dynasty were formed. First is the appearance of the Bokbuhyeong lime (覆釜形石灰, which is a convex roof on the Byeongpungsadaseok that serves to prevent rainwater from penetrating into the burial mound. It also plays a role in connecting and fixing the Manseok (滿石) and the Inseok (引石), which are the upper structures of the Sadaseok (莎臺石). Second, the Bakseok (薄石) between the nanganseok and the sadaseok has been transformed into the Sangseok (裳石) with a slope. This plays a role in protecting the inner stone chamber by expanding the length of the bakseok, which forms an overall slope, like the eaves of the roof. After both of these features were first attempted in 1442, they were applied to all Royal Tombs of the Joseon Dynasty and became unique features of these Royal Tombs.

Interpreting Bounded Rationality in Business and Industrial Marketing Contexts: Executive Training Case Studies (집행관배훈안례연구(阐述工商业背景下的有限合理性):집행관배훈안례연구(执行官培训案例研究))

  • Woodside, Arch G.;Lai, Wen-Hsiang;Kim, Kyung-Hoon;Jung, Deuk-Keyo
    • Journal of Global Scholars of Marketing Science
    • /
    • v.19 no.3
    • /
    • pp.49-61
    • /
    • 2009
  • This article provides training exercises for executives into interpreting subroutine maps of executives' thinking in processing business and industrial marketing problems and opportunities. This study builds on premises that Schank proposes about learning and teaching including (1) learning occurs by experiencing and the best instruction offers learners opportunities to distill their knowledge and skills from interactive stories in the form of goal.based scenarios, team projects, and understanding stories from experts. Also, (2) telling does not lead to learning because learning requires action-training environments should emphasize active engagement with stories, cases, and projects. Each training case study includes executive exposure to decision system analysis (DSA). The training case requires the executive to write a "Briefing Report" of a DSA map. Instructions to the executive trainee in writing the briefing report include coverage in the briefing report of (1) details of the essence of the DSA map and (2) a statement of warnings and opportunities that the executive map reader interprets within the DSA map. The length maximum for a briefing report is 500 words-an arbitrary rule that works well in executive training programs. Following this introduction, section two of the article briefly summarizes relevant literature on how humans think within contexts in response to problems and opportunities. Section three illustrates the creation and interpreting of DSA maps using a training exercise in pricing a chemical product to different OEM (original equipment manufacturer) customers. Section four presents a training exercise in pricing decisions by a petroleum manufacturing firm. Section five presents a training exercise in marketing strategies by an office furniture distributer along with buying strategies by business customers. Each of the three training exercises is based on research into information processing and decision making of executives operating in marketing contexts. Section six concludes the article with suggestions for use of this training case and for developing additional training cases for honing executives' decision-making skills. Todd and Gigerenzer propose that humans use simple heuristics because they enable adaptive behavior by exploiting the structure of information in natural decision environments. "Simplicity is a virtue, rather than a curse". Bounded rationality theorists emphasize the centrality of Simon's proposition, "Human rational behavior is shaped by a scissors whose blades are the structure of the task environments and the computational capabilities of the actor". Gigerenzer's view is relevant to Simon's environmental blade and to the environmental structures in the three cases in this article, "The term environment, here, does not refer to a description of the total physical and biological environment, but only to that part important to an organism, given its needs and goals." The present article directs attention to research that combines reports on the structure of task environments with the use of adaptive toolbox heuristics of actors. The DSA mapping approach here concerns the match between strategy and an environment-the development and understanding of ecological rationality theory. Aspiration adaptation theory is central to this approach. Aspiration adaptation theory models decision making as a multi-goal problem without aggregation of the goals into a complete preference order over all decision alternatives. The three case studies in this article permit the learner to apply propositions in aspiration level rules in reaching a decision. Aspiration adaptation takes the form of a sequence of adjustment steps. An adjustment step shifts the current aspiration level to a neighboring point on an aspiration grid by a change in only one goal variable. An upward adjustment step is an increase and a downward adjustment step is a decrease of a goal variable. Creating and using aspiration adaptation levels is integral to bounded rationality theory. The present article increases understanding and expertise of both aspiration adaptation and bounded rationality theories by providing learner experiences and practice in using propositions in both theories. Practice in ranking CTSs and writing TOP gists from DSA maps serves to clarify and deepen Selten's view, "Clearly, aspiration adaptation must enter the picture as an integrated part of the search for a solution." The body of "direct research" by Mintzberg, Gladwin's ethnographic decision tree modeling, and Huff's work on mapping strategic thought are suggestions on where to look for research that considers both the structure of the environment and the computational capabilities of the actors making decisions in these environments. Such research on bounded rationality permits both further development of theory in how and why decisions are made in real life and the development of learning exercises in the use of heuristics occurring in natural environments. The exercises in the present article encourage learning skills and principles of using fast and frugal heuristics in contexts of their intended use. The exercises respond to Schank's wisdom, "In a deep sense, education isn't about knowledge or getting students to know what has happened. It is about getting them to feel what has happened. This is not easy to do. Education, as it is in schools today, is emotionless. This is a huge problem." The three cases and accompanying set of exercise questions adhere to Schank's view, "Processes are best taught by actually engaging in them, which can often mean, for mental processing, active discussion."

  • PDF

Memory Organization for a Fuzzy Controller.

  • Jee, K.D.S.;Poluzzi, R.;Russo, B.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1993.06a
    • /
    • pp.1041-1043
    • /
    • 1993
  • Fuzzy logic based Control Theory has gained much interest in the industrial world, thanks to its ability to formalize and solve in a very natural way many problems that are very difficult to quantify at an analytical level. This paper shows a solution for treating membership function inside hardware circuits. The proposed hardware structure optimizes the memoried size by using particular form of the vectorial representation. The process of memorizing fuzzy sets, i.e. their membership function, has always been one of the more problematic issues for the hardware implementation, due to the quite large memory space that is needed. To simplify such an implementation, it is commonly [1,2,8,9,10,11] used to limit the membership functions either to those having triangular or trapezoidal shape, or pre-definite shape. These kinds of functions are able to cover a large spectrum of applications with a limited usage of memory, since they can be memorized by specifying very few parameters ( ight, base, critical points, etc.). This however results in a loss of computational power due to computation on the medium points. A solution to this problem is obtained by discretizing the universe of discourse U, i.e. by fixing a finite number of points and memorizing the value of the membership functions on such points [3,10,14,15]. Such a solution provides a satisfying computational speed, a very high precision of definitions and gives the users the opportunity to choose membership functions of any shape. However, a significant memory waste can as well be registered. It is indeed possible that for each of the given fuzzy sets many elements of the universe of discourse have a membership value equal to zero. It has also been noticed that almost in all cases common points among fuzzy sets, i.e. points with non null membership values are very few. More specifically, in many applications, for each element u of U, there exists at most three fuzzy sets for which the membership value is ot null [3,5,6,7,12,13]. Our proposal is based on such hypotheses. Moreover, we use a technique that even though it does not restrict the shapes of membership functions, it reduces strongly the computational time for the membership values and optimizes the function memorization. In figure 1 it is represented a term set whose characteristics are common for fuzzy controllers and to which we will refer in the following. The above term set has a universe of discourse with 128 elements (so to have a good resolution), 8 fuzzy sets that describe the term set, 32 levels of discretization for the membership values. Clearly, the number of bits necessary for the given specifications are 5 for 32 truth levels, 3 for 8 membership functions and 7 for 128 levels of resolution. The memory depth is given by the dimension of the universe of the discourse (128 in our case) and it will be represented by the memory rows. The length of a world of memory is defined by: Length = nem (dm(m)+dm(fm) Where: fm is the maximum number of non null values in every element of the universe of the discourse, dm(m) is the dimension of the values of the membership function m, dm(fm) is the dimension of the word to represent the index of the highest membership function. In our case then Length=24. The memory dimension is therefore 128*24 bits. If we had chosen to memorize all values of the membership functions we would have needed to memorize on each memory row the membership value of each element. Fuzzy sets word dimension is 8*5 bits. Therefore, the dimension of the memory would have been 128*40 bits. Coherently with our hypothesis, in fig. 1 each element of universe of the discourse has a non null membership value on at most three fuzzy sets. Focusing on the elements 32,64,96 of the universe of discourse, they will be memorized as follows: The computation of the rule weights is done by comparing those bits that represent the index of the membership function, with the word of the program memor . The output bus of the Program Memory (μCOD), is given as input a comparator (Combinatory Net). If the index is equal to the bus value then one of the non null weight derives from the rule and it is produced as output, otherwise the output is zero (fig. 2). It is clear, that the memory dimension of the antecedent is in this way reduced since only non null values are memorized. Moreover, the time performance of the system is equivalent to the performance of a system using vectorial memorization of all weights. The dimensioning of the word is influenced by some parameters of the input variable. The most important parameter is the maximum number membership functions (nfm) having a non null value in each element of the universe of discourse. From our study in the field of fuzzy system, we see that typically nfm 3 and there are at most 16 membership function. At any rate, such a value can be increased up to the physical dimensional limit of the antecedent memory. A less important role n the optimization process of the word dimension is played by the number of membership functions defined for each linguistic term. The table below shows the request word dimension as a function of such parameters and compares our proposed method with the method of vectorial memorization[10]. Summing up, the characteristics of our method are: Users are not restricted to membership functions with specific shapes. The number of the fuzzy sets and the resolution of the vertical axis have a very small influence in increasing memory space. Weight computations are done by combinatorial network and therefore the time performance of the system is equivalent to the one of the vectorial method. The number of non null membership values on any element of the universe of discourse is limited. Such a constraint is usually non very restrictive since many controllers obtain a good precision with only three non null weights. The method here briefly described has been adopted by our group in the design of an optimized version of the coprocessor described in [10].

  • PDF