雷达与控制系统中波动场的分形学及其应用

作者: [俄] 亚历山大·A.波塔波夫（Alexander A.Potapov）著 , 吴浩著 , 熊珊著

出版社: 华南理工大学出版社

出版时间: 2020-11

ISBN: 9787562362760

定价: 168.00

分类: 工程技术

1 张插图图片

  The book is devoted to contemporary issues of radar， control， fractal theory and the detection of weak radar signals in intense real non-Gaussian interference.
  The core of the book is the lectures and reports of Prof. Alexander Potapov （V. A. Kotelnikov Institute of Radio Engineering and Electronics RAS， Moscow， Russia） for the period 2011-2019， read at universities in China and at many international conferences in China.
  The theory of wave scattering by anisotropic statistically rough surfaces， which is an important part of statistical radiophysics and radar， is considered. A new analytic method is developed and generalized for solving problems of radar imaging. The method involves analytic determination of the functionals of stochastic backscattered fields and can be applied to solve a wide class of physical problems with allowance for the finite width of an antenna\' s pattern. The unified approach based on this method is used to analyze the generalized frequency response of a scattering radio channel， a generalized correlator of scattered fields， spatial correlation functions of stochastic backscattered fields， frequency coherence functions of stochastic backscattered fields， the coherence band of a spatial-temporal scattering radar channel， the kernel of the generalized uncertainty function， and the measure of noise immunity characterizing radar probing of the Earth\'s surface or extended targets. The introduced frequency coherence functions are applied for thorough and consistent study of techniques for measuring the characteristics of a rough surface， aircraft altitude， and distortions observed when radar signals are scattered by statistically rough surfaces， including fractal ones. To exemplify urgent applications， radiophysical synthesis of detailed digital reference radar terrain maps and microwave radar images that was proposed earlier is considered and improved with the use of the theory of fractals. 亚历山大?阿列克谢耶维奇?波塔波夫，IRE RAS首席研究员，俄罗斯科学院院士。吴浩，广州创天电子有限公司总经理。在以色列理工学院工作。波多谢诺夫?斯坦尼斯拉夫?亚历山大，俄罗斯光学和物理测量研究所的主要研究员(退休人员)。Menkova Romanovna是俄罗斯光学和物理测量研究所的高级研究员。熊珊，广州创天电子有限公司研发经理。 Chapter 1 The Theory of Functionals of Stochastic Backscattered Fields
1．1 Introduction
1．2 The angular spectrum of wave fields
1．3 The angular spectrum of modulated waves
1．4 Simulation of the spatial-temporal structure of the field scattered by a statistically rough anisotropic surface： a mathematical model taking into accout the effect of an antenna
1．5 Generalized frequency response of a scattering radio channel
1．6 Generalized correlator of fields scattered by a statistically rough anisotropic surface
1．7 Generalized correlator of anisotropically scattered fields for the Gaussian pattern of the antenna
1．8 Normalized generalized correlator of fields scattered by a statistically rough anisotropic surface
1．9 Spatial correlations of stochastic backscattered fields
1．10 Frequency coherence functions of stochastic backscattered fields
1．11 Calculation and analysis of the frequency coherence functions of millimeter-wave stochastic backscattered fields
1．12 Frequency coherence band of a spatial-temporal microwave probing radar channel
1．13 Radar measurements of the characteristics of a rough surface and of a flight\'s altitude according to the frequency coherence function
1．14 The kernel of the generalized ambiguity function and a measure of noise immunity involved in radar probing of a rough surface and extended targets
1．15 Formalism of high-order correlators and bispectra in the wave theory and multidimensional-signal precessing
1．16 The effect of irregularities of a scattering surface on the structure of reflected signals
1．17 The effect of a fractal scattering surface on the structure of reflected signals
1．18 The effect of hydrometeors on radar imaging
……

Chapter 2 Strong Large Deviations Principles of Non-Freidl in-Wentzell Type． Optimal Control Problem with Imperfect Information． Jumps Phenomena in Financial Markets
Chapter 3 Exact Quasi-Classical Asymptotic Beyond Maslov Canonical Operator and Quantum Jumps Nature
Chapter 4 Creation and Development of Fractal-Scaling or Scale-Invariant Radiolocation for Detection and Recognition of Low-Contrast Targets Against the Background of High Intensity Earth and Sea Disturbances
Chapter 5 Multiple Scattering of Waves in Fractal Discrete Randomly-Inhomogeneous Media from the Point of View of Radiolocation of the Multiple Targets
Chapter 6 Examples of Fractal Devices and Their Theory

References

Appendix A
Appendix B
内容简介:
  The book is devoted to contemporary issues of radar， control， fractal theory and the detection of weak radar signals in intense real non-Gaussian interference.
  The core of the book is the lectures and reports of Prof. Alexander Potapov （V. A. Kotelnikov Institute of Radio Engineering and Electronics RAS， Moscow， Russia） for the period 2011-2019， read at universities in China and at many international conferences in China.
  The theory of wave scattering by anisotropic statistically rough surfaces， which is an important part of statistical radiophysics and radar， is considered. A new analytic method is developed and generalized for solving problems of radar imaging. The method involves analytic determination of the functionals of stochastic backscattered fields and can be applied to solve a wide class of physical problems with allowance for the finite width of an antenna\' s pattern. The unified approach based on this method is used to analyze the generalized frequency response of a scattering radio channel， a generalized correlator of scattered fields， spatial correlation functions of stochastic backscattered fields， frequency coherence functions of stochastic backscattered fields， the coherence band of a spatial-temporal scattering radar channel， the kernel of the generalized uncertainty function， and the measure of noise immunity characterizing radar probing of the Earth\'s surface or extended targets. The introduced frequency coherence functions are applied for thorough and consistent study of techniques for measuring the characteristics of a rough surface， aircraft altitude， and distortions observed when radar signals are scattered by statistically rough surfaces， including fractal ones. To exemplify urgent applications， radiophysical synthesis of detailed digital reference radar terrain maps and microwave radar images that was proposed earlier is considered and improved with the use of the theory of fractals.
作者简介:
亚历山大?阿列克谢耶维奇?波塔波夫，IRE RAS首席研究员，俄罗斯科学院院士。吴浩，广州创天电子有限公司总经理。在以色列理工学院工作。波多谢诺夫?斯坦尼斯拉夫?亚历山大，俄罗斯光学和物理测量研究所的主要研究员(退休人员)。Menkova Romanovna是俄罗斯光学和物理测量研究所的高级研究员。熊珊，广州创天电子有限公司研发经理。
目录:
Chapter 1 The Theory of Functionals of Stochastic Backscattered Fields
1．1 Introduction
1．2 The angular spectrum of wave fields
1．3 The angular spectrum of modulated waves
1．4 Simulation of the spatial-temporal structure of the field scattered by a statistically rough anisotropic surface： a mathematical model taking into accout the effect of an antenna
1．5 Generalized frequency response of a scattering radio channel
1．6 Generalized correlator of fields scattered by a statistically rough anisotropic surface
1．7 Generalized correlator of anisotropically scattered fields for the Gaussian pattern of the antenna
1．8 Normalized generalized correlator of fields scattered by a statistically rough anisotropic surface
1．9 Spatial correlations of stochastic backscattered fields
1．10 Frequency coherence functions of stochastic backscattered fields
1．11 Calculation and analysis of the frequency coherence functions of millimeter-wave stochastic backscattered fields
1．12 Frequency coherence band of a spatial-temporal microwave probing radar channel
1．13 Radar measurements of the characteristics of a rough surface and of a flight\'s altitude according to the frequency coherence function
1．14 The kernel of the generalized ambiguity function and a measure of noise immunity involved in radar probing of a rough surface and extended targets
1．15 Formalism of high-order correlators and bispectra in the wave theory and multidimensional-signal precessing
1．16 The effect of irregularities of a scattering surface on the structure of reflected signals
1．17 The effect of a fractal scattering surface on the structure of reflected signals
1．18 The effect of hydrometeors on radar imaging
……

Chapter 2 Strong Large Deviations Principles of Non-Freidl in-Wentzell Type． Optimal Control Problem with Imperfect Information． Jumps Phenomena in Financial Markets
Chapter 3 Exact Quasi-Classical Asymptotic Beyond Maslov Canonical Operator and Quantum Jumps Nature
Chapter 4 Creation and Development of Fractal-Scaling or Scale-Invariant Radiolocation for Detection and Recognition of Low-Contrast Targets Against the Background of High Intensity Earth and Sea Disturbances
Chapter 5 Multiple Scattering of Waves in Fractal Discrete Randomly-Inhomogeneous Media from the Point of View of Radiolocation of the Multiple Targets
Chapter 6 Examples of Fractal Devices and Their Theory

References

Appendix A
Appendix B