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Design method of numerical function generators based on polynomial approximation for FPGA implementation

机译：基于多项式逼近的数值函数发生器的FPGA设计方法

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DSD 2007, 10th EUROMICRO Conference on Digital System Design, Architectures, Methods and Tools, Aug. 27 - 31, 2007, Lubeck, Germany, pp. 280-287.

机译：DSD 2007，第十届EUROMICRO数字系统设计，体系结构，方法和工具会议，2007年8月27日至31日，德国吕贝克，第280-287页。

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Nagayama Shinobu; Sasao Tsutomu; Butler Jon T.;
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1. FPGA-based implementation of chaotic oscillators by applying the numerical method based on trigonometric polynomials [J] . A. D. Pano-Azucena, E. Tlelo-Cuautle, G. Rodriguez-Gomez, AIP Advances . 2018,第7期

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2. Compact Numerical Function Generators Based on Quadratic Approximation: Architecture and Synthesis Method [J] . Shinobu NAGAYAMA, Tsutomu SASAO, Jon T. BUTLER IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2006,第12期

机译：基于二次逼近的紧凑型数值函数发生器：体系结构和综合方法
3. A novel secure chaos-based pseudo random number generator based on ANN-based chaotic and ring oscillator: design and its FPGA implementation [J] . Tuna Murat Analog Integrated Circuits and Signal Processing . 2020,第2期

机译：基于ANN的混沌和环形振荡器的基于安全混沌的伪随机数发生器：设计及其FPGA实现
4. Design Method for Numerical Function Generators Based on Polynomial Approximation for FPGA Implementation [C] . Nagayama, Shinobu, Sasao, . 2007

机译：基于多项式逼近的数值函数发生器的设计方法及其FPGA实现
5. Design, implementation and analysis of efficient FPGA based physical unclonable functions. [D] . Habib, Bilal. 2016

机译：基于高效FPGA的物理不可克隆功能的设计，实现和分析。
6. A Model-Based Design Floating-Point Accumulator. Case of Study: FPGA Implementation of a Support Vector Machine Kernel Function [O] . Marco Bassoli, Valentina Bianchi, Ilaria De Munari 2020

机译：基于模型的设计浮点累加器。研究案例：支持向量机内核功能的FPGA实现
7. The performance of available methods for computing the polynomial coefficients of the quadratic function approximation is evaluated. By comparing the numerical results to those obtained by symbolic methods, for a variety of functions, the direct solution of the matrix equation and a variety of recursive algorithms are all shown to be numerically unstable. AMS classification [O] . Balakrishnan Easwaran, McInnes A.W. 1991

机译：评估了用于计算二次函数逼近的多项式系数的可用方法的性能。通过将数值结果与通过符号方法获得的数值结果进行比较，对于多种函数，矩阵方程的直接解法和多种递归算法均显示出数值上的不稳定。 AMS分类

Design method of numerical function generators based on polynomial approximation for FPGA implementation

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