Open AccessOcean duct inversion from radar clutter using variation adjoint and regularization method (Ⅰ): Theoretical part
Author(s) -
盛峥,
黄思训
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1734
Subject(s) - inversion (geology) , regularization (linguistics) , clutter , mathematics , radar , adjoint equation , self adjoint operator , inverse problem , mathematical analysis , computer science , boundary value problem , algorithm , mathematical optimization , geology , partial differential equation , hilbert space , paleontology , telecommunications , structural basin , artificial intelligence
Since the traditional anti-statistical algorithms in the inversion of refractivity from radar clutter RFC need too much calculation, a new physical algorithm variation adjoint combined with the regularization method is proposed instead. In the variation adjoint method, the tangent model, adjoint equations and accompanying boundary conditions, the solving expression of adjoint equations, and the mathematical functional expression of the gradient were derived respectively, and the problem of how to coordinate functional gradient of the complex equations is solved. In the regularization method, to take into account the characteristics of radar electromagnetic wave propagation, we choose a suitable regularization term to solve the inversion of the ill-posed problems. Finally, the implementation of the iterative inversion algorithm was derived.