• Title/Summary/Keyword: algorithm complexity

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A Polynomial-Time Algorithm for Breaking the McEliece's Public-Key Cryptosystem (McEliece 공개키 암호체계의 암호해독을 위한 Polynomial-Time 알고리즘)

  • Park, Chang-Seop-
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 1991.11a
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    • pp.40-48
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    • 1991
  • McEliece 공개키 암호체계에 대한 새로운 암호해독적 공격이 제시되어진다. 기존의 암호해독 algorithm이 exponential-time의 complexity를 가지는 반면, 본고에서 제시되어지는 algorithm은 polynomial-time의 complexity를 가진다. 모든 linear codes에는 systematic generator matrix가 존재한다는 사실이 본 연구의 동기가 된다. Public generator matrix로부터, 암호해독에 사용되어질 수 있는 새로운 trapdoor generator matrix가 Gauss-Jordan Elimination의 역할을 하는 일련의 transformation matrix multiplication을 통해 도출되어진다. 제시되어지는 algorithm의 계산상의 complexity는 주로 systematic trapdoor generator matrix를 도출하기 위해 사용되는 binary matrix multiplication에 기인한다. Systematic generator matrix로부터 쉽게 도출되어지는 parity-check matrix를 통해서 인위적 오류의 수정을 위한 Decoding이 이루어진다.

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A Modified PTS Algorithm for P APR Reduction ill OFDM Signal

  • Kim, Jeong-Goo;Wu, Xiaojun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.3C
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    • pp.163-169
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    • 2011
  • Partial transmit sequence (PTS) algorithm is known as one of the most efficient ways to reduce the peak-to-average power ratio (PAPR) in the orthogonal frequency division multiplexing (OFDM) system. The PTS algorithm, however, requires large numbers of computation to implement. Thus there has been a trade-off between performance of PAPR reduction and computational complexity. In this paper, the performance of PAPR reduction and computation complexity of PTS algorithms are analyzed and compared through computer simulations. Subsequently, a new PTS algorithm is proposed which can be a reasonable method to reduce the PAPR of OFDM when both the performance of PAPR reduction and computational complexity are considered simultaneously.

Frequency-Domain RLS Algorithm Based on the Block Processing Technique (블록 프로세싱 기법을 이용한 주파수 영역에서의 회귀 최소 자승 알고리듬)

  • 박부견;김동규;박원석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.240-240
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    • 2000
  • This paper presents two algorithms based on the concept of the frequency domain adaptive filter(FDAF). First the frequency domain recursive least squares(FRLS) algorithm with the overlap-save filtering technique is introduced. This minimizes the sum of exponentially weighted square errors in the frequency domain. To eliminate discrepancies between the linear convolution and the circular convolution, the overlap-save method is utilized. Second, the sliding method of data blocks is studied Co overcome processing delays and complexity roads of the FRLS algorithm. The size of the extended data block is twice as long as the filter tap length. It is possible to slide the data block variously by the adjustable hopping index. By selecting the hopping index appropriately, we can take a trade-off between the convergence rate and the computational complexity. When the input signal is highly correlated and the length of the target FIR filter is huge, the FRLS algorithm based on the block processing technique has good performances in the convergence rate and the computational complexity.

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A Polynomial Complexity Optimal Multiuser Detection Algorithm Based on Monotonicity Properties

  • Quan, Qingyi
    • ETRI Journal
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    • v.32 no.3
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    • pp.479-481
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    • 2010
  • An optimal multiuser detection algorithm with a computational complexity of O(K log K) is proposed for the class of linear multiple-access systems which have constant cross-correlation values. Here the optimal multiuser detection is implemented by searching for a monotone sequence with maximum likelihood, under the ranking of sufficient statistics. The proposed algorithm is intuitive and concise. It is carried out in just two steps, and at each step only one kind of operation is performed. Also, the proposed algorithm can be extended to more complex systems having more than a single cross-correlation value.

An Efficient Low Complexity Blind Equalization Using Micro-Genetic Algorithm

  • Kim, Sung-Soo;Kang, Jee-Hye
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.3
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    • pp.283-287
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    • 2004
  • In this paper, a method of designing the efficient batch blind equalization with low complexity using a micro genetic algorithm (GA), is presented. In general, the blind equalization techniques that are focused on the complexity reduction might be carried out with minor effect on the performance. Among the advanced various subjects in the field of GAs, a micro genetic algorithm is employed to identity the unknown channel impulse response in order to reduce the search space effectively. A new cost function with respect to the constant modulus criterion is suggested considering its relation to the Wiener criterion. We provide simulation results to show the superiority of the proposed techniques compared to other existing techniques.

Algorithm for Efficient D-Class Computation (효율적인 D-클래스 계산을 위한 알고리즘)

  • Han, Jae-Il
    • Journal of Information Technology Services
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    • v.6 no.1
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    • pp.151-158
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    • 2007
  • D-class computation requires multiplication of three Boolean matrices for each of all possible triples of $n{\times}n$ Boolean matrices and search for equivalent $n{\times}n$ Boolean matrices according to a specific equivalence relation. It is easy to see that even multiplying all $n{\times}n$ Boolean matrices with themselves shows exponential time complexity and D-Class computation was left an unsolved problem due to its computational complexity. The vector-based multiplication theory shows that the multiplication of three Boolean matrices for each of all possible triples of $n{\times}n$ Boolean matrices can be done much more efficiently. However, D-Class computation requires computation of equivalent classes in addition to the efficient multiplication. The paper discusses a theory and an algorithm for efficient D-class computation, and shows execution results of the algorithm.

Frame Rate up-conversion Algorithm using Adaptive Overlapped Block Motion Compensation (적응적 중첩 블록 움직임 보상을 이용한 프레임 율 향상 알고리즘)

  • Lee, Kangjun
    • Journal of Broadcast Engineering
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    • v.24 no.5
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    • pp.785-790
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    • 2019
  • In this paper, a new bilateral frame rate up-conversion algorithm using adaptive overlapped block motion compensation is proposed. In this algorithm, the adaptive overlapped block motion compensation is based on the motion complexity of the reference region. As the motion complexity is determined by the size of the previously coded motion estimation prediction, the overlapped block motion compensation method is selected without any additional computational complexity. Experimental results show that the proposed algorithm provides better image quality than conventional methods both objectively and subjectively.

A Hierarchical Mode Decision Method for H.264 Intra Image Coding

  • Liu, Jiantan;Yoo, Kook-Yeol
    • Proceedings of the Korea Information Processing Society Conference
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    • 2007.05a
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    • pp.297-300
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    • 2007
  • Due to its impressive compression performance, the H.264 video coder is highlighted in the video communications industry, such as DMB (Digital Multimedia Broadcasting), PMP (Portable Multimedia Player), etc. The main bottleneck to use the H.264 coder lays in the computational complexity, i.e. five times more complex than the market leading MPEG-4 Simple Profile codec. In this paper, we propose the hierarchical mode decision method for intraframe coding for the reduction of the computation complexity of the encoder. By determining the mode group early, the propose algorithm can skip the computationally demanding computation in the mode decision. The proposed algorithm is composed of three steps: $16{\times}16$ mode decision, $4{\times}4$ mode-group decisions, and final mode decision among the selected mode group. The simulation results show that the proposed algorithm achieves 20% to 50% reduction in the computational complexity compared with the conventional algorithm.

Fixed-Complexity Sphere Encoder for Multi-User MIMO Systems

  • Mohaisen, Manar;Chang, Kyung-Hi
    • Journal of Communications and Networks
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    • v.13 no.1
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    • pp.63-69
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    • 2011
  • In this paper, we propose a fixed-complexity sphere encoder (FSE) for multi-user multi-input multi-output (MU-MIMO) systems. The proposed FSE accomplishes a scalable tradeoff between performance and complexity. Also, because it has a parallel tree-search structure, the proposed encoder can be easily pipelined, leading to a tremendous reduction in the precoding latency. The complexity of the proposed encoder is also analyzed, and we propose two techniques that reduce it. Simulation and analytical results demonstrate that in a $4{\times}4$ MU-MIMO system, the proposed FSE requires only 11.5% of the computational complexity needed by the conventional QR decomposition with M-algorithm encoder (QRDM-E). Also, the encoding throughput of the proposed encoder is 7.5 times that of the QRDM-E with tolerable degradation in the BER performance, while achieving the optimum diversity order.

Fast Macroblock Mode Selection Algorithm for B Frames in Multiview Video Coding

  • Yu, Mei;He, Ping;Peng, Zongju;Zhang, Yun;Si, Yuehou;Jiang, Gangyi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.2
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    • pp.408-427
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    • 2011
  • Intensive computational complexity is an obstacle of enabling multiview video coding for real-time applications. In this paper, we present a fast macroblock (MB) mode selection algorithm for B frames which are based on the computational complexity analyses between the MB mode selection and reference frame selection. Three strategies are proposed to reduce the coding complexity jointly. First, the temporal correlation of MB modes between current MB and its temporal corresponding MBs is utilized to reduce computational complexity in determining the optimal MB mode. Secondly, Lagrangian cost of SKIP mode is compared with that of Inter $16{\times}16$ modes to early terminate the mode selection process. Thirdly, reference frame correlation among different Inter modes is exploited to reduce the number of reference frames. Experimental results show that the proposed algorithm can promote the encoding speed by 3.71~7.22 times with 0.08dB PSNR degradation and 2.03% bitrate increase on average compared with the joint multiview video model.