It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that...It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.展开更多
为了实现基于FPGA的CCSDS图像压缩算法,在提升小波变换结构的基础上,提出了一种改进的基于行的并行3级2-D整数9/7小波变换实现结构。结构充分利用流水线设计技术,对于每一级2-DDWT,结构包含2个行处理器同时处理2行数据,借助10个行缓存...为了实现基于FPGA的CCSDS图像压缩算法,在提升小波变换结构的基础上,提出了一种改进的基于行的并行3级2-D整数9/7小波变换实现结构。结构充分利用流水线设计技术,对于每一级2-DDWT,结构包含2个行处理器同时处理2行数据,借助10个行缓存存储变换的中间数据,实现了行、列变换的并行运算。同时对于3级小波变换,也采用了流水线结构,减少了存储器的使用量和对其访问造成的时间延迟,提高了变换速度。本结构完成分辨率为N×N灰度图像的3级小波分解所用的时钟周期约为O(N2/2)。采用Altera的Stratix II FPGA实验,结果表明,本整数小波变换结构具有较高的吞吐率和变换速度,可以工作在86.5MHz的频率下,实现1024×1024灰度图像100fps的图像实时变换。展开更多
基金This project was supported by National Natural Science Foundation of China (69971002).
文摘It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.
文摘为了实现基于FPGA的CCSDS图像压缩算法,在提升小波变换结构的基础上,提出了一种改进的基于行的并行3级2-D整数9/7小波变换实现结构。结构充分利用流水线设计技术,对于每一级2-DDWT,结构包含2个行处理器同时处理2行数据,借助10个行缓存存储变换的中间数据,实现了行、列变换的并行运算。同时对于3级小波变换,也采用了流水线结构,减少了存储器的使用量和对其访问造成的时间延迟,提高了变换速度。本结构完成分辨率为N×N灰度图像的3级小波分解所用的时钟周期约为O(N2/2)。采用Altera的Stratix II FPGA实验,结果表明,本整数小波变换结构具有较高的吞吐率和变换速度,可以工作在86.5MHz的频率下,实现1024×1024灰度图像100fps的图像实时变换。
