Two-Dimensional Digital Filters [Hardcover]

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 ePreface -- 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-InputMultiple-Output Filters -- 1.10 Multidimensional Filters -- Reference -- Problems -- 2 State-Space Methods -- 2.1 Introduction -- 2.2 The GivoneRoesser Model -- 2.3 SpaceDomain 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 lCK