Design and implementation of a high-performance 64-bit floating-point reciprocal and square root reciprocal unit

2008 ◽  
Author(s):  
Chaochao Feng ◽  
Shaoqing Li ◽  
Minxuan Zhang
Keyword(s):  
High Performance ◽  
Floating Point ◽  
Square Root ◽  
Design And Implementation

The DSP Design and Implementation of a Directional Audio System through N-Order Approximate Square Root Method

2013 ◽  
Vol 416-417 ◽  
pp. 1147-1151
Author(s):  
Yong Chun Xu ◽  
Zhe Liu ◽  
Jin Yu Guan
Keyword(s):  
Basic Principle ◽  
Floating Point ◽  
Far Field ◽  
Square Root ◽  
Practical Test ◽  
Design And Implementation ◽  
Field Solution ◽  
And Performance ◽  
Square Root Method ◽  
Audio System

The signal preprocessing methods in a directional audio system are almost based on Berkatay far-field solution. In this paper, the basic principle and performance of square root method are analyzed, and also a directional audio system based on floating-point DSP is designed with the 4-order approximate square root method. Through theory simulation and practical test, the effect is proven to be satisfactory.

scholarly journals Design and implementation of fast floating point units for FPGAs

2020 ◽  
Vol 19 (3) ◽  
pp. 1480
Author(s):  
Mohammed Falih Hassan ◽  
Karime Farhood Hussein ◽  
Bahaa Al-Musawi
Keyword(s):  
Open Source ◽  
Numerical Stability ◽  
High Performance ◽  
Low Cost ◽  
Floating Point ◽  
Design And Implementation ◽  
Functional Block ◽  
Open Source Framework ◽  
Floating Point Unit ◽  
Stability And Accuracy

<p>Due to growth in demand for high-performance applications that require high numerical stability and accuracy, the need for floating-point FPGA has been increased. In this work, an open-source and efficient floating-point unit is implemented on a standard Xilinx Sparton-6 FPGA platform. The proposed design is described in a hierarchal way starting from functional block descriptions toward modules level design. Our implementation used minimal resources available on the targeting FPGA board, tested on Sparton-6 FPGA platform and verified on ModelSim. The open-source framework can be embedded or customized for low-cost FPGA devices that do not offer floating-point units.</p>

scholarly journals Numerical algorithms for high-performance computational science

2020 ◽  
Vol 378 (2166) ◽  
pp. 20190066 ◽  
Author(s):  
Jack Dongarra ◽  
Laura Grigori ◽  
Nicholas J. Higham
Keyword(s):  
High Performance ◽  
Numerical Algorithms ◽  
Computational Science ◽  
Floating Point ◽  
Important Criterion ◽  
Data Movement ◽  
Floating Point Arithmetic ◽  
High Performance Computers ◽  
Point Arithmetic ◽  
Speed And Accuracy

A number of features of today’s high-performance computers make it challenging to exploit these machines fully for computational science. These include increasing core counts but stagnant clock frequencies; the high cost of data movement; use of accelerators (GPUs, FPGAs, coprocessors), making architectures increasingly heterogeneous; and multi- ple precisions of floating-point arithmetic, including half-precision. Moreover, as well as maximizing speed and accuracy, minimizing energy consumption is an important criterion. New generations of algorithms are needed to tackle these challenges. We discuss some approaches that we can take to develop numerical algorithms for high-performance computational science, with a view to exploiting the next generation of supercomputers. This article is part of a discussion meeting issue ‘Numerical algorithms for high-performance computational science’.

Design and implementation of a GaAs systolic floating-point processing element

1996 ◽  
Vol 143 (5) ◽  
pp. 325
Author(s):  
A. Beaumont-Smith ◽  
W. Marwood ◽  
C.C. Lim ◽  
K. Eshraghian
Keyword(s):  
Processing Element ◽  
Floating Point ◽  
Design And Implementation
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