• Title/Summary/Keyword: floating-point arithmetic

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Logic circuit design for high-speed computing of dynamic response in real-time hybrid simulation using FPGA-based system

  • Igarashi, Akira
    • Smart Structures and Systems
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    • v.14 no.6
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    • pp.1131-1150
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    • 2014
  • One of the issues in extending the range of applicable problems of real-time hybrid simulation is the computation speed of the simulator when large-scale computational models with a large number of DOF are used. In this study, functionality of real-time dynamic simulation of MDOF systems is achieved by creating a logic circuit that performs the step-by-step numerical time integration of the equations of motion of the system. The designed logic circuit can be implemented to an FPGA-based system; FPGA (Field Programmable Gate Array) allows large-scale parallel computing by implementing a number of arithmetic operators within the device. The operator splitting method is used as the numerical time integration scheme. The logic circuit consists of blocks of circuits that perform numerical arithmetic operations that appear in the integration scheme, including addition and multiplication of floating-point numbers, registers to store the intermediate data, and data busses connecting these elements to transmit various information including the floating-point numerical data among them. Case study on several types of linear and nonlinear MDOF system models shows that use of resource sharing in logic synthesis is crucial for effective application of FPGA to real-time dynamic simulation of structural response with time step interval of 1 ms.

A Hardware Implementation of Ogg Vorbis Audio Decoder with Embedded Processor

  • Kosaka, Atsushi;Yamaguchi, Satoshi;Okuhata, Hiroyuki;Onoye, Takao;Shirakawa, Isao
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.94-97
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    • 2002
  • A VLSI architecture of an Ogg Vorbis decoder is proposed : which is dedicated to portable audio appliances. Referring to the computational cost analysis of the decoding processes, the LSP (Line Spectrum Pair) process, which takes more than 50% of the total processing time, can be regarded as a bottleneck to achieve realtime processing by embedded Processors. Thus in our decoder a specific hardware architecture is devised for the LSP process so as to be integrated into a single chip together with an ARM7TDMI processor. In addition, in order to reduce the total hardware cost, instead of the floating point arithmetic, the fixed point arithmetic is adopted. The LSP module has been implemented with 9,740 gates by using a Virtual Silicon 0.l5$\mu\textrm{m}$ CMOS technology, which operates at 58.8MHz with the total CPU load reduced by 57%. It is also verified that the use of the fixed point arithmetic does not incur any significant sound distortion.

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A Study on the Implementation of Hopfield Model using Array Processor (어레이 프로세서를 이용한 홉필드 모델의 구현에 관한 연구)

  • 홍봉화;이지영
    • Journal of the Korea Society of Computer and Information
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    • v.4 no.4
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    • pp.94-100
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    • 1999
  • This paper concerns the implementation of a digital neural network which performs the high speed operation of Hopfield model's arithmetic operation. It is also designed to use a look-up table and produce floating point arithmetic of nonlinear function with high speed operation. The arithmetic processing of Hopfleld is able to describe the matrix-vector operation, which is adaptable to design the array processor because of its recursive and iterative operation .The proposed method is expected to be applied to the field of real neural networks because of the realization of the current VLSI techniques.

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MPEG-4 Audio Decoding Technique using Integer Operations for Real-time Playback on Embedded Processor (휴대용 임베디드 프로세서에서의 MPEG-4 오디오의 실시간 재생을 위한 정수 디코딩 기법)

  • Cha, Kyung-Ae
    • Journal of Broadcast Engineering
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    • v.13 no.3
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    • pp.415-418
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    • 2008
  • Some embedded microprocessors do not have an FPU(Floating Point Unit) due to a circuit complexity and power consumption. The performance speed of MPEG-4 AAC decoder on this hardware environment would be slower than corresponding speed for playing back of the decoded results. Therefore, irritating and high-pitched noises are interleaved in the original the audio data. So, in order to play MPEG-4 AAC file on such PDA, a new algorithm that transforms floating-point arithmetic to one with integers, is needed. We have developed a transformation algorithm from floating-point operation to integer operation and implemented the PDA's AAC Player. We also show the efficiency of our proposed method with the experimental results.

IEEE Standard Floating Poing ALU with 60MHz Clock Frequency (60MHz Clock 주파수의 IEEE 표준 Floating Point ALU)

  • Yong Surk Lee
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.11
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    • pp.915-922
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    • 1991
  • This research paper presents an ALU unit using 1.0$\mu$m CMOS technology capable of doing IEEE standard single and double precision floating poing calculation within 32ns (2 clock) at 60 MHz clock speed. This 32ns speed was achieved by using 9ns 1's complement arithmetic 54 bit carry select adder instead of previous 2's complement adders. On the first cycle, this adder is used for addition or subtraction and the second cycle uses this adder for rounding. This reduces the number of required adders from two to one. Speed improvement is 2 to 5 times compared with previous 40MHz design. Design goal was 60MHz, however, this unit is functioning at 80 MHz at room temperature.

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On the Real Time Implementation of the TWS System Using the TMS320C25 DSP (TMS320C25 DSP를 이용한 실시간 TWS 시스템 구현)

  • Kee, Seok-Cheol;Lee, Sang-Uk
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.147-155
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    • 1989
  • In this paper, a real-time implementation of the TWS(track-while-scan) system using the high-speed DSP (digital signal processor) TMS320C25 is described. First, attempts have been made to investigate the FWL (finite word length) effect, which is caused by employing a fixed point arithmetic, of implementing the Kalman filter. The real-time TWS system consists of TWS arithmetic unit, scan converter, and system controller. In addition, the TWS system is in tegrated in the Multi-Bus. In experiment, it is observed that by employing the floating point arithmetic the computation time of 0.35sec is required for tracking 8 targets simultaneously, while 0.28sec is required for the fixed point arithmetic. Since the TWS system is designed to track up to 8 targets simultaneously, we conclude that the system is enough to process Kalman filter in a real-time.

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A Design of Floating-Point Geometry Processor for Embedded 3D Graphics Acceleration (내장형 3D 그래픽 가속을 위한 부동소수점 Geometry 프로세서 설계)

  • Nam Ki hun;Ha Jin Seok;Kwak Jae Chang;Lee Kwang Youb
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.2 s.344
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    • pp.24-33
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    • 2006
  • The effective geometry processing IP architecture for mobile SoC that has real time 3D graphics acceleration performance in mobile information system is proposed. Base on the proposed IP architecture, we design the floating point arithmetic unit needed in geometry process and the floating point geometry processor supporting the 3D graphic international standard OpenGL-ES. The geometry processor is implemented by 160k gate area in a Xilinx-Vertex FPGA and we measure the performance of geometry processor using the actual 3D graphic data at 80MHz frequency environment The experiment result shows 1.5M polygons/sec processing performance. The power consumption is measured to 83.6mW at Hynix 0.25um CMOS@50MHz.

NUMERICAL IMPLEMENTATION OF THE QMR ALGORITHM BY USING DISCRETE STOCHASTIC ARITHMETIC

  • TOUTOUNIAN FAEZEH;KHOJASTEH SALKUYEH DAVOD;ASADI BAHRAM
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.457-473
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    • 2005
  • In each step of the quasi-minimal residual (QMR) method which uses a look-ahead variant of the nonsymmetric Lanczos process to generate basis vectors for the Krylov subspaces induced by A, it is necessary to decide whether to construct the Lanczos vectors $v_{n+l}\;and\;w{n+l}$ as regular or inner vectors. For a regular step it is necessary that $D_k\;=\;W^{T}_{k}V_{k}$ is nonsingular. Therefore, in the floating-point arithmetic, the smallest singular value of matrix $D_k$, ${\sigma}_min(D_k)$, is computed and an inner step is performed if $\sigma_{min}(D_k)<{\epsilon}$, where $\epsilon$ is a suitably chosen tolerance. In practice it is absolutely impossible to choose correctly the value of the tolerance $\epsilon$. The subject of this paper is to show how discrete stochastic arithmetic remedies the problem of this tolerance, as well as the problem of the other tolerances which are needed in the other checks of the QMR method with the estimation of the accuracy of some intermediate results. Numerical examples are used to show the good numerical properties.

A Study on the Development of the Real-Time G.723.1 Speech Codec Using a Fixed-Point DSP(ADSP-2181) (고정소수점 DSP(ADSP-2181)을 이용한 실시간 G.723.1 음성부호화기 개발에 관한 연구)

  • Park, Jung-Jae;Chung, Ik-Joo
    • Speech Sciences
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    • v.3
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    • pp.177-186
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    • 1998
  • This paper describes the procedure of implementing a real-time speech codec, G.723.1 which was developed by DSP Group and standardized by ITU-T, using fixed-point DSP, ADSP-2181. This codec has two bit rates associated with it, 5.3 and 6.3 kbit/s. We implemented only one bit rate, 6.3 kbit/s, of the two with fixed-point 32-bit precision. According to the result of the experiment, the amount of computational burden is about 55 MIPS and its quality is similar to the result of the PC simulation with floating-point arithmetic. In this paper, we proposed a method to use a fixed-point DSP and a procedure for developing a real-time speech codec using DSPs and finally developed a G.723.l speech codec for ADSP-2181.

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A Design of a 8-Thread Graphics Processor Unit with Variable-Length Instructions

  • Lee, Kwang-Yeob;Kwak, Jae-Chang
    • Journal of information and communication convergence engineering
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    • v.6 no.3
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    • pp.285-288
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    • 2008
  • Most of multimedia processors for 2D/3D graphics acceleration use a lot of integer/floating point arithmetic units. We present a new architecture with an efficient ALU, built in a smaller chip size. It reduces instruction cycles significantly based on a foundation of multi-thread operation, variable length instruction words, dual phase operation, and phase instruction's coordination. We can decrease the number of instruction cycles up to 50%, and can achieve twice better performance.