• Title/Summary/Keyword: binary number

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Fast Device Discovery for Remote Device Management in Lighting Control Networks

  • Choi, Sang-Il;Lee, Sanghun;Koh, Seok-Joo;Lim, Sang-Kyu;Kim, Insu;Kang, Tae-Gyu
    • Journal of Information Processing Systems
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    • v.11 no.1
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    • pp.125-133
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    • 2015
  • The Remote Device Management (RDM) protocol is used to manage the devices in the lighting control networks. RDM provides bi-directional communications between a controller and many lighting devices over the DMX512-A network. In RDM, using a simple binary search scheme, which is based on the 48-bit unique ID (UID) of each device, discovers the lighting devices. However, the existing binary search scheme tends to require a large delay in the device discovery process. In this paper, we propose a novel partition-based discovery scheme for fast device discovery in RDM. In the proposed scheme, all devices are divided into several partitions as per the device UID, and the controller performs device discovery for each partition by configuring a response timer that each device will use. From numerical simulations, we can see that there is an optimal number of partitions to minimize the device discovery time for a given number of devices in the proposed scheme, and also that the proposed partition-based scheme can reduce the device discovery time, as compared to the existing binary search scheme.

Design and Development of a Novel High Resolution Absolute Rotary Encoder System Based on Affine n-digit N-ary Gray Code

  • Paul, Sarbajit;Chang, Junghwan
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.943-952
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    • 2018
  • This paper presents a new type of absolute rotary encoder system based on the affine n-digit N-ary gray code. A brief comparison of the existing encoder systems is carried out in terms of resolution, encoding and decoding principles and number of sensor heads needed. Using the proposed method, two different types of encoder disks are designed, namely, color-coded disk and grayscale coded disk. The designed coded disk pattern is used to manufacture 3 digit 3 ary and 2 digit 5 ary grayscale coded disks respectively. The manufactured disk is used with the light emitter and photodetector assembly to design the entire encode system. Experimental analysis is done on the designed prototype with LabVIEW platform for data acquisition. A comparison of the designed system is done with the traditional binary gray code encoder system in terms of resolution, disk diameter, number of tracks and data acquisition system. The resolution of the manufactured system is 3 times higher than the conventional system. Also, for a 5 digit 5 ary coded encoder system, a resolution approximately 100 times better than the conventional binary system can be achieved. In general, the proposed encoder system gives $(N/2)^n$ times better resolution compared with the traditional gray coded disk. The miniaturization in diameter of the coded disk can be achieved compared to the conventional binary systems.

Optimal Synthesis Method for Binary Neural Network using NETLA (NETLA를 이용한 이진 신경회로망의 최적 합성방법)

  • Sung, Sang-Kyu;Kim, Tae-Woo;Park, Doo-Hwan;Jo, Hyun-Woo;Ha, Hong-Gon;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2726-2728
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    • 2001
  • This paper describes an optimal synthesis method of binary neural network(BNN) for an approximation problem of a circular region using a newly proposed learning algorithm[7] Our object is to minimize the number of connections and neurons in hidden layer by using a Newly Expanded and Truncated Learning Algorithm(NETLA) for the multilayer BNN. The synthesis method in the NETLA is based on the extension principle of Expanded and Truncated Learning(ETL) and is based on Expanded Sum of Product (ESP) as one of the boolean expression techniques. And it has an ability to optimize the given BNN in the binary space without any iterative training as the conventional Error Back Propagation(EBP) algorithm[6] If all the true and false patterns are only given, the connection weights and the threshold values can be immediately determined by an optimal synthesis method of the NETLA without any tedious learning. Futhermore, the number of the required neurons in hidden layer can be reduced and the fast learning of BNN can be realized. The superiority of this NETLA to other algorithms was proved by the approximation problem of one circular region.

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NUMBER SYSTEMS PERTAINING TO EUCLIDEAN RINGS OF IMAGINARY QUADRATIC INTEGERS

  • Sim, Hyo-Seob;Song, Hyun-Jong
    • East Asian mathematical journal
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    • v.31 no.3
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    • pp.357-362
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    • 2015
  • For a ring R of imaginary quadratic integers, using a concept of a unitary number system in place of the Motzkin's universal side divisor, we show that the following statements are equivalent: (1) R is Euclidean. (2) R has a unitary number system. (3) R is norm-Euclidean. Through an application of the above theorem we see that R admits binary or ternary number systems if and only if R is Euclidean.

A Linear-Time Algorithm to Find the First Overlap in a Binary Word

  • Park, Thomas H.
    • Proceedings of the IEEK Conference
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    • 2000.06c
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    • pp.165-168
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    • 2000
  • First, we give a linear-time algorithm to find the first overlap in an arbitrary binary word. Second, we implement the algorithm in the C language and show that the number of comparisons in this algorithm is less than 31n, where n$\geq$3 is the length of the input word.

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Improved Modular Inversion over GF(p)

  • Choi, Jong-Hwa;Kim, Yong-Dae;Ahn, Young-Il;You, Young-Gap
    • International Journal of Contents
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    • v.3 no.2
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    • pp.40-43
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    • 2007
  • This paper proposed a new modular inverse algorithm based on the right-shifting binary Euclidean algorithm. For an n-bit numbers, the number of operations for the proposed algorithm is reduced about 61.3% less than the classical binary extended Euclidean algorithm. The proposed algorithm implementation shows substantial reduction in computation time over Galois field GF(p).

Digital baseband demodulator for binary FSK signals (기저대역 디지탈 이진 FSK 복조기)

  • 이상윤;윤찬근;이충웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.10
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    • pp.22-27
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    • 1996
  • A digital logic demodulator for binary FSK signals is presented. The operation is based on the quadricorrelator which is known as an ideal frequency detector. The demodulator is especially suitable for high-speed application, and it can be easily implemented in integrated circuit. Computer simulation results show that the performance of the receiver with digital demodulator converges to that of analog quadricorrelator receiver as the number of mixing axes is increased and the optimum bandwidth depending on a modulation index is slightly wider than that of analog demodulator.

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Random number generation by use of de Bruijin sequence

  • Harada, Hiroshi;Kashiwagi, Hiroshi;Oguri, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.1033-1036
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    • 1988
  • This paper proposes a new method for generation of uniform random numbers using binary random sequences. These binary sequences are obtained from a de Bruijn sequence by random sampling method. Several statistical tests are carried out for the random numbers generated by the proposed method, and it is shown that the random numbers have good random properties.

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On desirable conditions for a random number used in the random sampling method

  • Harada, Hiroshi;Kashiwagi, Hiroshi;Takada, Tadashi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1295-1299
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    • 1990
  • A new method called random sampling method has been proposed for generation of binary random sequences. In this paper, a new concept, called merit factor Fn, is proposed for evaluating the randomness of the binary random sequences generated by the random sampling method. Using this merit factor Fn, some desirable conditions are investigated for uniform random numbers used in the random sampling method.

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