观测结构的度量
Measurement of Observation Structure
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摘要: 给出了超平行多面体体积的表达式,论证了超平行多面体体积与Gram行列式的值之间的关系,提出了一种度量观测结构优劣的方法,并通过实例对该方法进行了验证。Abstract: The irrationality of observation structure is one of the reasons resulting in ill-condition in parameter estimation,and measuring observation structure is an effective way to diagnose whether it is ill-conditioned in a system or not.An expression of the volume of hyper-parallel polyhedron is presented,the relationship between the volume and the value of Gram DET is proposed and a method is put forward to measure the advantages and disadvantages of observation structure.