Front Cover -- Nonlinear Digital Filters -- Copyright Page -- Contents -- Preface -- Chapter 1 Introduction -- Why are digital filters associated with nonlinearities? -- Challenges for the analysis and design of digital filters associated with nonlinearities -- An overview -- Chapter 2 Reviews -- Mathematical preliminary -- Backgrounds on signals and systems -- Backgrounds on sampling theorem -- Backgrounds on bifurcation theorem -- Absolute stability theorem -- Exercises -- Chapter 3 Quantization in Digital Filters -- Model of quantizer -- Quantization noise analysis -- Optimal code design -- Summary -- Exercises -- Chapter 4 Saturation in Digital Filters -- System model -- Oscillations of digital filters associated with saturation nonlinearity -- Stability of oscillations of digital filters associated with saturation nonlinearity -- Summary -- Exercises -- Chapter 5 Autonomous Response of Digital Filters with Two's Complement Arithmetic -- System model -- Linear and affine linear behaviors -- Limit cycle behavior -- Chaotic behavior -- Summary -- Exercises -- Chapter 6 Step Response of Digital Filters with Two's Complement Arithmetic -- Affine linear behavior -- Limit cycle behavior -- Fractal behavior -- Summary -- Exercises -- Chapter 7 Sinusoidal Response of Digital Filters with Two's Complement Arithmetic -- No overflow case -- Overflow case -- Summary -- Exercises -- Chapter 8 Two's Complement Arithmetic in Complex Digital Filters -- First order complex digital filters -- Second order complex digital filters -- Summary -- Exercises -- Chapter 9 Quantization and Two's Complement Arithmetic in Digital Filters -- Nonlinear behavioral differences of finite and infinite state machines -- Nonlinear behavior of unstable second order digital filters -- Nonlinear behaviors of digital filters with arbitrary orders and initial conditions -- Summary.

Exercises -- Chapter 10 Properties and Applications of Digital Filters with Nonlinearities -- Admissibility of symbolic sequences -- Statistical property -- Computer cryptography via digital filters associated with nonlinearities -- Summary -- Exercises -- Further Reading -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U.