Fractional Fourier Transform of Gauss Pulse Modulated Chirp Signal and Its Analytical Representation 高斯脉冲调制Chirp信号分数阶Fourier变换的解析表示
The linear fractional representation is developed for flexible structures with piezoelectric material as actuators and sensors, taking into account uncertainties due to modal parameters variation and un-modeled residual modes. 以不确定压电柔性结构为对象,考虑其被控模态参数的不确定性以及剔除残余模态所引起的模型误差,建立了模态空间内结构的不确定线性分式模型;
The fractional order differential equations and the fractional order linear time-invariant systems are introduced, and their transfer function representation and state-space representation are given. 介绍了分数阶微分方程和分数阶系统,给出分数阶线性定常系统的传递函数描述和状态空间描述。
Based on the theory we have also discussed the mapping matrix formula of the optical fractional Fourier transforms in different joint representation spaces, and the order-drag problem of the optical fractional Fourier transforms. 最后用此理论讨论了光学分数傅立叶变换在各联合表象空间的仿射变换矩阵形式及级次牵制问题。
The high order approximate conditions for fractional differentials/ integrals are given and verified, and based on that the numerical formula of the state space representation of linear time-invariant fractional order systems is deduced. 给出并证明了分数阶微积分的高阶近似所应满足的条件,并在此基础上推导出分数阶线性定常系统状态空间描述的数值计算公式。
These formulas establish a possible way to use the fractional representation approach in the synthesis of the generalized dynamical systems. 这些公式提供了在广义系统的综合中应用分式表示方法的一条可能途径。
Then discrete fractional Brownian random field is set up as scene's model. Fractal feature, which differs from the density and edge features, is extracted based on the wavelet representation of the image. 然后建立了景象的离散分数布朗随机场模型,在小波多分辨率分析的基础上提取了分形特征;