基于IEEE-754标准和现场可编程门阵列技术的混沌产生器设计与实现

Design and implementation of chaotic generators based on IEEE-754 standard and field programmable gate array technology

提出了基于IEEE-754标准的现场可编程门阵列(FPGA)通用混沌与超混沌信号产生器设计与硬件实现的一种新方法.首先,根据Euler算法,对连续混沌系统作离散化处理,便于FPGA等一类数字信号处理器件的实现.其次,基于IEEE-754标准和模块化设计理念,用硬件描述语言构建出浮点数的乘法运算、加法运算、符号函数运算、正负绝对值运算、初始值与迭代值选择等5个基本模块,并以此为基础,进一步在FPGA平台上产生包括网格状多涡卷蔡氏系统在内的多种不同类型的混沌与超混沌信号.最后,通过对语音芯片的配置,利用其立体声左右通道输出两路混沌信号,可在示波器上显示多种混沌与超混沌吸引子的相图.该方案的主要特点是通用性强.对IEEE-754标准的浮点数算法以及在FPGA平台上产生混沌与超混沌信号的原理进行了分析,给出了算法流程图、技术开发过程以及硬件设计与实现结果.

A new approach for the design and hardware implementation of field programmable gate array（FPGA） general chaotic and hyperchaotic signal generators based on IEEE-754 standard is proposed.Firstly,using Euler algorithm and appropriate discrete processing,the continuous chaotic systems can be converted to discrete chaotic systems,which is appropriate for realization by digital signal processor.Secondly,according to IEEE-754 standard and module-based design idea,five basic floating-point operational modules,namely the multiplication operation module,addition operation module,symbolic function operation module,positive and negative absolute operation module,and initial and iteration value selection module,are constructed by using Verilog-HDL.Based on this method,different types of chaotic and hyperchaotic signals via FPGA are generated.Finally,using configurable voice device,chaotic signals are output through the stereo left and right channels and attractors can be observed by the oscillograph.The characteristic of this method is its universality.Furthermore,the floating-point algorithm and working principle are analyzed.The algorithm flow chart,technical development process,hardware design and realization result are given.