Presents basic theories, techniques, and procedures used to analyze, design, and implement two-dimensional filters; and surveys a number of applications in image and seismic data processing that demonstrate their use in real-world signal processing. For graduate students in electrical and computer e
Presents basic theories, techniques, and procedures used to analyze, design, and implement two-dimensional filters; and surveys a number of applications in image and seismic data processing that demonstrate their use in real-world signal processing. For graduate students in electrical and computer e
WU-SHENG Lu is Professor in the Department of Electrical and Computer Engineering, Univer¬sity of Victoria, British Columbia, Canada. He is a senior member of the Institute of Electrical and Electronics Engineers and is the author of two books and numerous book chapters and journal articles. Dr. Lu received the B.S. degree (1964) in mathematics from Fudan University, Shanghai, People's Republic of China, the M.E. degree (1981) in automation from the East China Normal University, Shanghai, and the M.S. degree (1983) in electrical engineering and the Ph.D. degree (1984) in control science, both from the University of Minnesota, Minneapolis. ANDREAS ANTONIOU is Professor in the Department of Electrical and Computer Engineering, University of Victoria, British Columbia, Canada. The author of one book and numerous papers and book chapters, he is a Fellow of the Institute of Electrical and Electronics Engineers and the Institution of Electrical Engineers and a member of the Association of Professional Engineers and Geoscientists of British Columbia and the Canadian Society for Electrical and Computer Engineer-ing. Dr. Antoniou received the B.Sc. (1963) and the Ph.D. (1966) degrees in electrical engineering from the University of London, England.
Inhaltsangabe
Preface Introduction Fundamentals 1.1 Introduction 1.2 2 D Discrete Signals 1.3 The 2 D Digital Filter as a System 1.4 Characterization 1.5 Representation in Terms of Flow Graphs and Networks 1.6 Introduction to Space Domain Analysis 1.7 Stability 1.8 Realization 1.9 Multiple Input Multiple Output Filters 1.10 Multidimensional Filters Reference Problems 2 State Space Methods 2.1 Introduction 2.2 The Givone Roesser Model 2.3 Space Domain Analysis 2.4 Controllability and Observability 2.5 Realization References Problems 3 Transform Methods 3.1 Introduction 3.2 The 2 D z Transform 3.3 The 2 D Fourier Transform 3.4 The Sampling Process References Problems 4 The Application of the z Transform 4.1 Introduction 4.2 The Transfer Function 4.3 Stability 4.4 Space Domain Analysis 4.5 Frequency Domain Analysis References Problems 5 Stability Analysis 5.1 Introduction 5.2 Stability Analysis in Frequency Domain 5.3 Stability Analysis in State Space Domain 5.4 2 D Lyapunov Stability Theory 5.5 Stability of Low Order Filters References Problems 6 Approximations for Nonrecursive Filters 6.1 Introduction 6.2 Properties of 2 D Nonrecursive Filters 6.3 Design Based on Fourier Series 6.4 Design Based on Transformations References Problems 7 Approximations for Recursive Filters 7.1 Introduction 7.2 Transformations 7.3 Method of Hirano and Aggarwal 7.4 Design of Circularly Symmetric Filters 7.5 Constantinides Transformations 7.6 Design of Filters Satisfying Prescribed Specifications References Problems 8 Design of Recursive Filters by Optimization 8.1 Introduction 8.2 Design by Least pth Optimization 8.3 Minimax Method 8.4 Design Based on Two Variable Network Theory 8.5 Design of Recursive Filters Using Singular Value Decomposition References Problems 9 Design of Nonrecursive Filters by Optimization 9.1 Introduction 9.2 Minimax Design of Linear Phase Nonrecursive Filters 9.3 Design of Linear Phase Nonrecursive Filters Using SVD References Problems 10 Realization 10.1 Introduction 10.2 Nonrecursive Realizations Based on the McClellan Transformation 10.3 Nonrecursive Realizations Based on Matrix Decompositions 10.4 Direct Realization of Recursive Filters 10.5 LUD Realization of Recursive Filters 10.6 Indirect Realization of Recursive Filters References Problems 11 Finite Wordlength Effects 11.1 Introduction 11.2 Quantization Errors and Their Computation 11.3 State Space Structures with Minimized Roundoff Noise 11.4 Limit Cycles References Problems 12 Implementation 12.1 Introduction 12.2 2 D Discrete Fourier Transform 12.3 Computation of 2 D DFT 12.4 Systolic Implementation References Problems 13 Applications 13.1 Introduction 13.2 Applications of Linear 2 D Filters to Image Enhancement 13.3 Image Restoration 13.4 Applications of Linear 2 D Fan Filters to Seismic. Signal Processing References Problems Index.
Preface Introduction Fundamentals 1.1 Introduction 1.2 2 D Discrete Signals 1.3 The 2 D Digital Filter as a System 1.4 Characterization 1.5 Representation in Terms of Flow Graphs and Networks 1.6 Introduction to Space Domain Analysis 1.7 Stability 1.8 Realization 1.9 Multiple Input Multiple Output Filters 1.10 Multidimensional Filters Reference Problems 2 State Space Methods 2.1 Introduction 2.2 The Givone Roesser Model 2.3 Space Domain Analysis 2.4 Controllability and Observability 2.5 Realization References Problems 3 Transform Methods 3.1 Introduction 3.2 The 2 D z Transform 3.3 The 2 D Fourier Transform 3.4 The Sampling Process References Problems 4 The Application of the z Transform 4.1 Introduction 4.2 The Transfer Function 4.3 Stability 4.4 Space Domain Analysis 4.5 Frequency Domain Analysis References Problems 5 Stability Analysis 5.1 Introduction 5.2 Stability Analysis in Frequency Domain 5.3 Stability Analysis in State Space Domain 5.4 2 D Lyapunov Stability Theory 5.5 Stability of Low Order Filters References Problems 6 Approximations for Nonrecursive Filters 6.1 Introduction 6.2 Properties of 2 D Nonrecursive Filters 6.3 Design Based on Fourier Series 6.4 Design Based on Transformations References Problems 7 Approximations for Recursive Filters 7.1 Introduction 7.2 Transformations 7.3 Method of Hirano and Aggarwal 7.4 Design of Circularly Symmetric Filters 7.5 Constantinides Transformations 7.6 Design of Filters Satisfying Prescribed Specifications References Problems 8 Design of Recursive Filters by Optimization 8.1 Introduction 8.2 Design by Least pth Optimization 8.3 Minimax Method 8.4 Design Based on Two Variable Network Theory 8.5 Design of Recursive Filters Using Singular Value Decomposition References Problems 9 Design of Nonrecursive Filters by Optimization 9.1 Introduction 9.2 Minimax Design of Linear Phase Nonrecursive Filters 9.3 Design of Linear Phase Nonrecursive Filters Using SVD References Problems 10 Realization 10.1 Introduction 10.2 Nonrecursive Realizations Based on the McClellan Transformation 10.3 Nonrecursive Realizations Based on Matrix Decompositions 10.4 Direct Realization of Recursive Filters 10.5 LUD Realization of Recursive Filters 10.6 Indirect Realization of Recursive Filters References Problems 11 Finite Wordlength Effects 11.1 Introduction 11.2 Quantization Errors and Their Computation 11.3 State Space Structures with Minimized Roundoff Noise 11.4 Limit Cycles References Problems 12 Implementation 12.1 Introduction 12.2 2 D Discrete Fourier Transform 12.3 Computation of 2 D DFT 12.4 Systolic Implementation References Problems 13 Applications 13.1 Introduction 13.2 Applications of Linear 2 D Filters to Image Enhancement 13.3 Image Restoration 13.4 Applications of Linear 2 D Fan Filters to Seismic. Signal Processing References Problems Index.
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