LEADER 04430nam 2200637Ia 450 001 9910458579003321 005 20200520144314.0 010 $a1-281-01883-X 010 $a9786611018832 010 $a0-08-055001-0 035 $a(CKB)1000000000383594 035 $a(EBL)307123 035 $a(OCoLC)173649135 035 $a(SSID)ssj0000211885 035 $a(PQKBManifestationID)11181455 035 $a(PQKBTitleCode)TC0000211885 035 $a(PQKBWorkID)10135754 035 $a(PQKB)11627985 035 $a(MiAaPQ)EBC307123 035 $a(CaSebORM)9780123725363 035 $a(Au-PeEL)EBL307123 035 $a(CaPaEBR)ebr10186667 035 $a(CaONFJC)MIL101883 035 $a(EXLCZ)991000000000383594 100 $a20070125d2007 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear digital filters$b[electronic resource] $eanalysis and applications /$fWing-Kuen Ling 205 $a1st edition 210 $aAmsterdam ;$aBoston ;$aLondon $cAcademic$d2007 215 $a1 online resource (217 p.) 300 $aDescription based upon print version of record. 311 $a0-12-372536-4 320 $aIncludes bibliographical references (p. 199-203) and index. 327 $aFront 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 327 $aChapter 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 327 $aChapter 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 327 $aExercises 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; 330 $aThis book provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops and turbo coders.Features: Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters Gives practical, 'real-world' applications of 606 $aElectric filters, Digital 606 $aElectric networks, Nonlinear 608 $aElectronic books. 615 0$aElectric filters, Digital. 615 0$aElectric networks, Nonlinear. 676 $a621.3815324 700 $aLing$b Wing-Kuen$0903656 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458579003321 996 $aNonlinear digital filters$92243427 997 $aUNINA