• Title/Summary/Keyword: Bit-Parallel

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Self-Checking Look-up Tables using Scalable Error Detection Coding (SEDC) Scheme

  • Lee, Jeong-A;Siddiqui, Zahid Ali;Somasundaram, Natarajan;Lee, Jeong-Gun
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.13 no.5
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    • pp.415-422
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    • 2013
  • In this paper, we present Self-Checking look-up-table (LUT) based on Scalable Error Detection Coding (SEDC) scheme for use in fault-tolerant reconfigurable architectures. SEDC scheme has shorter latency than any other existing coding schemes for all unidirectional error detection and the LUT execution time remains unaffected with self-checking capabilities. SEDC scheme partitions the contents of LUT into combinations of 1-, 2-, 3- and 4-bit segments and generates corresponding check codes in parallel. We show that the proposed LUT with SEDC performs better than LUT with traditional Berger as well as Partitioned Berger Coding schemes. For 32-bit data, LUT with SEDC takes 39% less area and 6.6 times faster for self-checking than LUT with traditional Berger Coding scheme.

Asymptotic Performance Analysis of Free-Space Optical Links with Transmit Diversity

  • Feng, Jianfeng;Zhao, Xiaohui
    • Journal of the Optical Society of Korea
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    • v.20 no.4
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    • pp.451-463
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    • 2016
  • The misalignment errors and fluctuations in irradiance due to atmospheric turbulence can severely degrade the performance of free-space optical (FSO) systems. In this paper, we investigate the asymptotic bit error rate (BER) performance and diversity orders of FSO links using parallel transmit-diversity schemes. The BER expressions of FSO links with the switch-and-examine transmit (SET), switch-and-examine transmit with post-selection (SETps), dual-branch transmit laser selection (Dual-TLS), and group transmit laser selection (Group-TLS) schemes are derived, based on an approximate channel model. Then numerical simulations for these four schemes in the region of high average signal-to-noise ratio (SNR) are presented under different channel conditions. The results show that the four transmit-diversity schemes can reduce system complexity and overcome the limitation of peak power, without much BER deterioration.

Low Latency Systolic Multiplier over GF(2m) Using Irreducible AOP (기약 AOP를 이용한 GF(2m)상의 낮은 지연시간의 시스톨릭 곱셈기)

  • Kim, Kee-Won;Han, Seung-Chul
    • IEMEK Journal of Embedded Systems and Applications
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    • v.11 no.4
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    • pp.227-233
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    • 2016
  • Efficient finite field arithmetic is essential for fast implementation of error correcting codes and cryptographic applications. Among the arithmetic operations over finite fields, the multiplication is one of the basic arithmetic operations. Therefore an efficient design of a finite field multiplier is required. In this paper, two new bit-parallel systolic multipliers for $GF(2^m)$ fields defined by AOP(all-one polynomial) have proposed. The proposed multipliers have a little bit greater space complexity but save at least 22% area complexity and 13% area-time (AT) complexity as compared to the existing multipliers using AOP. As compared to related works, we have shown that our multipliers have lower area-time complexity, cell delay, and latency. So, we expect that our multipliers are well suited to VLSI implementation.

Design and Analysis of a 2-digit-serial systolic multiplier for GF($2^m$) (GF($2^m$)상에서 2-디지트 시리얼 시스톨릭 곱셈기 설계 및 분석)

  • 김기원;이건직;유기영
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.10a
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    • pp.605-607
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    • 2000
  • 본 논문에서는 유한 필드 GF(2m)상에서 모듈러 곱셈 A(x)B(x) mod p(x)를 수행하는 2-디지트 시리얼 (2-digit-serial) 시스톨릭 어레이 구조인 곱셈기를 제안하였다. LSB-first 곱셈 알고리즘을 분석한 후 2-디지트 시리얼 형태의 자료의존 그래프(data dependency graph, 이하 DG)를 생성하여 시스톨릭 어레이를 설계하였다. 제안한 구조는 정규적이고 서로 반대 방향으로 진행하는 에지들이 없다. 그래서 VLSI 구현에 적합하다. 제안한 2-디지트 시리얼 곱셈기는 비트-패러럴(bit-parallel) 곱셈기 보다는 적은 하드웨어를 사용하며 비트-시리얼(bit-serial) 곱셈기 보다는 빠르다. 본 논문에서 제안한 2-디지트 시리얼 시스톨릭 곱셈기는 기존의 같은 종류의 곱셈기 보다 처리기의 최대 지연 시간이 적다. 그러므로 전체 시스톨릭 곱셈기의 처리시간을 향상시킬 수 있다.

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Bit-rate Scalable Video Coder Using a $2{\times}2{\times}2$ DCT for Progressive Transmission

  • Woo, Seock-Hoon;Park, Jin-Hyung;Won, Chee-Sun
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.66-69
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    • 2000
  • In this paper, we propose a progressive transmission of a video using a 2$\times$2$\times$2 DCT First of all, the video data is transformed into multiresolution represented video data using a 2$\times$2$\times$2 DCT. Then. it is represented by a 3-D EZT(Embedded Zero Tree) coding fur the progressive transmission with a bit-rate scalability. The proposed progressive transmission algorithm needs much less computations and buffer memories than the higher-order convolution based wavelet filter. Also, since the 2$\times$2$\times$2 DCT requires independent local computations, parallel processing can be applied.

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Bit-Level Systolic Array for Modular Multiplication (모듈러 곱셈연산을 위한 비트레벨 시스토릭 어레이)

  • 최성욱
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 1995.11a
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    • pp.163-172
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    • 1995
  • In this paper, the bit-level 1-dimensionl systolic array for modular multiplication are designed. First of all, the parallel algorithms and data dependence graphs from Walter's Iwamura's methods based on Montgomery Algorithm for modular multiplication are derived and compared. Since Walter's method has the smaller computational index points in data dependence graph than Iwamura's, it is selected as the base algorithm. By the systematic procedure for systolic array design, four 1-dimensional systolic arrays ale obtained and then are evaluated by various criteria. Modifying the array derived from 〔0,1〕 projection direction by adding a control logic and serializing the communication paths of data A, optimal 1-dimensional systolic array is designed. It has constant I/O channels for modular expandable and is good for fault tolerance due to unidirectional paths. And so, it is suitable for RSA Cryptosystem which deals with the large size and many consecutive message blocks.

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Bit-level 1-dimensional systolic modular multiplication (비트 레벨 일차원 시스톨릭 모듈러 승산)

  • 최성욱;우종호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.9
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    • pp.62-69
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    • 1996
  • In this paper, the bit-level 1-dimensional systolic array for modular multiplication is designed. First of all, the parallel algorithm and data dependence graph from walter's method based on montgomery algorithm suitable for array design for modular multiplication is derived. By the systematic procedure for systolic array design, four 1-dimensional systolic arrays are obtained and then are evaluated by various criteria. As it is modified the array which is derived form [0,1] projection direction by adding a control logic and it is serialized the communication paths of data A, optimal 1-dimensional systolic array is designed. It has constant I/O channels for expansile module and it is easy for fault tolerance due to unidirectional paths. It is suitable for RSA cryptosystem which deals iwth the large size and many consecutive message blocks.

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A lower bound of bit error rate of chip asynchronous Pattern codes in 2-dimensional optical CDMA system (2차원 광부호분할 다중접속 시스템에서 칩 비동기 패턴부호의 비트오류율 하한값 유도)

  • Lee, Tae-Hoon;Park, Young-Jae;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3239-3241
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    • 1999
  • Two-dimensional optical code-division multiple access is a system to transmit a two- dimensional data via parallel transmission line. The probability density function (pdf) of interference noise from other users is calculated and the pdf of asynchronous interference noise is newly calculated to present lower bounds of probability of error. The corresponding bit error rate is evaluated from this results.

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Optical Look-ahead Carry Full-adder Using Dual-rail Coding

  • Gil Sang Keun
    • Journal of the Optical Society of Korea
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    • v.9 no.3
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    • pp.111-118
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    • 2005
  • In this paper, a new optical parallel binary arithmetic processor (OPBAP) capable of computing arbitrary n-bit look-ahead carry full-addition is proposed and implemented. The conventional Boolean algebra is considered to implement OPBAP by using two schemes of optical logic processor. One is space-variant optical logic gate processor (SVOLGP), the other is shadow-casting optical logic array processor (SCOLAP). SVOLGP can process logical AND and OR operations different in space simultaneously by using free-space interconnection logic filters, while SCOLAP can perform any possible 16 Boolean logic function by using spatial instruction-control filter. A dual-rail encoding method is adopted because the complement of an input is needed in arithmetic process. Experiment on OPBAP for an 8-bit look-ahead carry full addition is performed. The experimental results have shown that the proposed OPBAP has a capability of optical look-ahead carry full-addition with high computing speed regardless of the data length.

Optical 2-bit Adder Using the Rule of Symbolic Substitiution (부호치환 규칙을 이용한 광2-비트가산기)

  • 조웅호;배장근;김정우;노덕수;김수중
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.6
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    • pp.871-880
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    • 1993
  • Conventional binary addition rules require a carry formation and propagation to the most significant bit, and lead to serial addition. Thus, the carry progapation in a binary addition stands as a hindrance to the full utilization of parallelism optics offers, Optical adders using a modified signed-digit(MSD) number system have been proposed to eliminate the carry propagation chain states to represent the three possible digits of MSD number system must encode three different states to represent the three possible digits of MSD. In the paper, we propose the design of a parallel optical adder based on 2-bit addition rules using the method of symbolic substitution(SS).

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