New Generalizations of Migdal-Kadanoff Bond-Moving Recursion Procedures and Their Applications

Considering in symmetrical half-length bond operations,we present in this paper two types of newlydeveloped generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures.The predominance in application of these generalized procedures are illustrated by making use of them to study the critical behavior of the spin-continuous Gaussian model constructed on the typical translational invariant lattices and fractals respectively.Results such as the correlation length critical exponents obtained by these means are found to be in good conformity with the classical results from other previous studies.     

安装误差角引起的加速度计旋转误差建模

在导航过程中惯性平台绕方位轴旋转能够有效地调制陀螺的常值漂移,但加速度计安装坐标系和陀螺安装坐标系的不重合会导致加速度计零偏也被调制为一个变化量,因此需要建立其旋转误差模型进行补偿。针对平台惯导台体绕方位轴旋转时加速度计误差补偿的实际需要,建立加速度计由初始安装误差角引起的旋转误差模型。模型主要针对旋转过程中由初始安装误差角导致的加速度计和水平面之间的不重合度,模型包括角度叠加模型和单位矢量旋转模型。通过对两种模型仿真分析,表明角度叠加模型计算量小,并且能够满足实际误差补偿需要。