• Title/Summary/Keyword: binary field

Search Result 284, Processing Time 0.025 seconds

An Efficient Intra-Field Deinterlacing Algorithm using Edges Extracted from the Interpolated Binary Image (보간된 이진 영상으로부터 검출된 정확한 에지를 이용한 효율적인 디인터레이싱 알고리즘)

  • Son, Joo-Yung;Lee, Sang-Hoon;Lee, Dong-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.34 no.5C
    • /
    • pp.514-520
    • /
    • 2009
  • This paper proposes a new deinterlacing algorithm which improves the performance of the spatial filter. Extracting exact edges is very important element of deinterlacing performance. So the proposed algorithm has interpolated locally adaptive-thresholded binary image, and extracted exact edges from the interpolated binary image. The values of pixels on edges extracted from binary image are interpolated using neighborhood lines on the same edge. With computer simulations for a variety of images, it is shown that the proposed algorithm is much better than traditional methods.

A New Iterative LT Decoding Algorithm for Binary and Nonbinary Galois Fields

  • Mao, Yuexin;Huang, Jie;Wang, Bing;Huang, Jianzhong;Zhou, Wei;Zhou, Shengli
    • Journal of Communications and Networks
    • /
    • v.15 no.4
    • /
    • pp.411-421
    • /
    • 2013
  • Digital fountain codes are record-breaking codes for erasure channels. They have many potential applications in both wired and wireless communications. Most existing digital fountain codes operate over binary fields using an iterative belief-propagation (BP) decoding algorithm. In this paper, we propose a new iterative decoding algorithm for both binary and nonbinary fields. The basic form of our proposed algorithm considers both degree-1 and degree-2 check nodes (instead of only degree-1 check nodes as in the original BP decoding scheme), and has linear complexity. Extensive simulation demonstrates that it outperforms the original BP decoding scheme, especially for a small number of source packets. The enhanced form of the proposed algorithm combines the basic form of the algorithm and a guess-based algorithm to further improve the decoding performance. Simulation results demonstrate that it can provide better decoding performance than the guess-based algorithm with fewer guesses, and can achieve decoding performance close to that of the maximum likelihood decoder at a much lower decoding complexity. Last, we show that our nonbinary scheme has the potential to outperform the binary scheme when choosing suitable degree distributions, and furthermore it is insensitive to the size of the Galois field.

A Study on Computational Efficiency Enhancement by Using Full Gray Code Genetic Algorithm (전 영역 그레이코드 유전자 알고리듬의 효율성 증대에 관한 연구)

  • 이원창;성활경
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.20 no.10
    • /
    • pp.169-176
    • /
    • 2003
  • Genetic algorithm (GA), which has a powerful searching ability and is comparatively easy to use and also to apply, is in the spotlight in the field of the optimization for mechanical systems these days. However, it also contains some problems of slow convergence and low efficiency caused by a huge amount of repetitive computation. To improve the processing efficiency of repetitive computation, some papers have proposed paralleled GA these days. There are some cases that mention the use of gray code or suggest using gray code partially in GA to raise its slow convergence. Gray code is an encoding of numbers so that adjacent numbers have a single digit differing by 1. A binary gray code with n digits corresponds to a hamiltonian path on an n-dimensional hypercube (including direction reversals). The term gray code is open used to refer to a reflected code, or more specifically still, the binary reflected gray code. However, according to proposed reports, gray code GA has lower convergence about 10-20% comparing with binary code GA without presenting any results. This study proposes new Full gray code GA (FGGA) applying a gray code throughout all basic operation fields of GA, which has a good data processing ability to improve the slow convergence of binary code GA.

AN ALGORITHM FOR MULTIPLICATIONS IN F2m

  • Oh, SeYoung;Yoon, ChungSup
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.15 no.2
    • /
    • pp.85-96
    • /
    • 2003
  • An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.

  • PDF

A Neural Network Based Handwritten-Charater Recognition using Binary Wavelet Transform (이진 웨이브렛 변환을 이용한 신경회로망의 필기체 문자 인식)

  • Lee, Jung-Moon;You, Kyoung-San
    • Journal of Industrial Technology
    • /
    • v.17
    • /
    • pp.331-338
    • /
    • 1997
  • In this paper, we propose a new neural pattern recognition from wavelet transform. We first analysis in BFT(Binary Field Transform) in character image. The proposed neural network and wavelet transform is able to improve learning time and scaling. The ability and effectiveness of identifying image using the proposed wavelet transform will be demonstrated by computer simulation.

  • PDF

Improved Modular Inversion over GF(p)

  • Choi, Jong-Hwa;Kim, Yong-Dae;Ahn, Young-Il;You, Young-Gap
    • International Journal of Contents
    • /
    • v.3 no.2
    • /
    • pp.40-43
    • /
    • 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).

FPGA Design of Modified Finite Field Divider Using Extended Binary GCD Algorithm (확장 이진 GCD 알고리듬을 이용한 개선된 유한체 나눗셈 연산기의 FPGA 설계)

  • Park, Ji-Won;Kang, Min-Sup
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2011.11a
    • /
    • pp.925-927
    • /
    • 2011
  • 본 논문에서는 확장 이진 최대공약수 알고리듬 (Extended Binary GCD algorithm)을 기본으로 GF($2^m$) 상에서 유한체 나눗셈 연산을 위한 고속 알고리듬을 제안하고, 제안한 알고리듬을 기본으로 한 나눗셈 연산기의 FPGA 설계 구현에 관하여 기술한다. 제안한 알고리듬은 Verilog HDL 로 기술하였고, Xilinx FPGA virtex4-xc4vlx15 디바이스를 타겟으로 하였다.

A Fast Inversion for Low-Complexity System over GF(2 $^{m}$) (경량화 시스템에 적합한 유한체 $GF(2^m)$에서의 고속 역원기)

  • Kim, So-Sun;Chang, Nam-Su;Kim, Chang-Han
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.42 no.9 s.339
    • /
    • pp.51-60
    • /
    • 2005
  • The design of efficient cryptosystems is mainly appointed by the efficiency of the underlying finite field arithmetic. Especially, among the basic arithmetic over finite field, the rnultiplicative inversion is the most time consuming operation. In this paper, a fast inversion algerian in finite field $GF(2^m)$ with the standard basis representation is proposed. It is based on the Extended binary gcd algorithm (EBGA). The proposed algorithm executes about $18.8\%\;or\;45.9\%$ less iterations than EBGA or Montgomery inverse algorithm (MIA), respectively. In practical applications where the dimension of the field is large or may vary, systolic array sDucture becomes area-complexity and time-complexity costly or even impractical in previous algorithms. It is not suitable for low-weight and low-power systems, i.e., smartcard, the mobile phone. In this paper, we propose a new hardware architecture to apply an area-efficient and a synchronized inverter on low-complexity systems. It requires the number of addition and reduction operation less than previous architectures for computing the inverses in $GF(2^m)$ furthermore, the proposed inversion is applied over either prime or binary extension fields, more specially $GF(2^m)$ and GF(P) .

Real-time Footstep Planning and Following for Navigation of Humanoid Robots

  • Hong, Young-Dae
    • Journal of Electrical Engineering and Technology
    • /
    • v.10 no.5
    • /
    • pp.2142-2148
    • /
    • 2015
  • This paper proposes novel real-time footstep planning and following methods for the navigation of humanoid robots. A footstep command is defined by a walking direction and step lengths for footstep planning. The walking direction is determined by a uni-vector field navigation method, and the allowable yawing range caused by hardware limitation is considered. The lateral step length is determined to avoid collisions between the two legs while walking. The sagittal step length is modified by a binary search algorithm when collision occurs between the robot body and obstacles in a narrow space. If the robot body still collides with obstacles despite the modification of the sagittal step length, the lateral step length is shifted at the next footstep. For footstep following, a walking pattern generator based on a 3-D linear inverted pendulum model is utilized, which can generate modifiable walking patterns using the zero-moment point variation scheme. Therefore, it enables a humanoid robot to follow the footstep command planned for each footstep. The effectiveness of the proposed method is verified through simulation and experiment.

Vibrational Spectroscopic Studies of Crystallization in Mixed n-Paraffins (진동분광실험을 이용한 n-Paraffin혼합물의 결정화에 관한 연구)

  • 김도균;임현주;최선남;김성수;송기국
    • Polymer(Korea)
    • /
    • v.26 no.6
    • /
    • pp.752-758
    • /
    • 2002
  • FTIR, FT-Raman, and X-ray diffraction techniques were used to determine chain segregations and lamellar structures of the mixed binary n-paraffins with different chain lengths. The results of three different techniques, infrared spectroscopic studies of crystal field splitting, the Raman longitudinal acoustic mode, and the SAXS long period measurements were compared one another to understand the crystallization mechanism of separated or mixed n- paraffin lamellae.