Stability Analysis of Third-order Magnetic Gradient Tensor

نویسندگان

چکیده

Abstract So far, magnetic gradient tensor has been studied in the field of exploration. The third-order tensor(MGT) can obtain more target information. But its stability is poor. It will lead to a large error under condition noise. Aiming at above shortcomings, this paper puts forward an improved method. approximate calculation formula MGT analyzed and improved. be got from simulation that proposed method excellent.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Center of Mass Estimation of Simple Shaped Magnetic Bodies Using Eigenvectors of Computed Magnetic Gradient Tensor

Computed Magnetic Gradient Tensor (CMGT) includes the first derivatives of three components of magnetic field of a body. At the eigenvector analysis of Gravity Gradient Tensors (GGT) for a line of poles and point pole, the eigenvectors of the largest eigenvalues (first eigenvectors) point precisely toward the Center of Mass (COM) of a body. However, due to the nature of the magnetic field, it i...

متن کامل

Independent component analysis and (simultaneous) third-order tensor diagonalization

Comon’s well-known scheme for independent component analysis (ICA) is based on the maximal diagonalization, in a least-squares sense, of a higher-order cumulant tensor. In a previous papr, we proved that for fourth-order cumulants, the computation of an elementary Jacobi rotation is equivalent to the computation of the best rank-1 approximation of a fourth-order tensor. In this paper, we show t...

متن کامل

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

متن کامل

Low-rank Multi-view Clustering in Third-Order Tensor Space

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on the fact that the multi-view data are generated from a latent subspace. To recover the underlying subspace structure, the success of the sparse and/or low-r...

متن کامل

Third-Order Tensor Decompositions and Their Application in Quantum Chemistry

A tensor is a multidimensional array, where the order of tensor denotes the dimension of the array. For example, a scalar is simply an order-0 tensor, a vector order-1, a matrix order-2, and any tensor with order-3 or greater is described as a higher order tensor. For this paper I will be focusing on the simplest higher-order tensor, the order-3 tensor, which can be visualized as a sort of Rubi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of physics

سال: 2022

ISSN: ['0022-3700', '1747-3721', '0368-3508', '1747-3713']

DOI: https://doi.org/10.1088/1742-6596/2381/1/012028