LEADER 02329nam 2200589 450 001 996466627303316 005 20220303111200.0 010 $a3-540-35551-0 024 7 $a10.1007/BFb0074319 035 $a(CKB)1000000000438748 035 $a(SSID)ssj0000324369 035 $a(PQKBManifestationID)12117096 035 $a(PQKBTitleCode)TC0000324369 035 $a(PQKBWorkID)10314188 035 $a(PQKB)11390258 035 $a(DE-He213)978-3-540-35551-9 035 $a(MiAaPQ)EBC5591654 035 $a(Au-PeEL)EBL5591654 035 $a(OCoLC)1066194131 035 $a(MiAaPQ)EBC6842959 035 $a(Au-PeEL)EBL6842959 035 $a(PPN)155217062 035 $a(EXLCZ)991000000000438748 100 $a20220303d1967 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLectures on injective modules and quotient rings /$fCarl Faith 205 $a1st ed. 1967. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1967] 210 4$dİ1967 215 $a1 online resource (XVIII, 146 p.) 225 1 $aLecture Notes in Mathematics ;$v49 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-03920-1 327 $aInjective modules -- Essential extensions and the injective hull -- Quasi-Injective modules -- Radical and semiprimitivity in rings -- The endomorphism ring of a quasi-injective module -- Noetherian, artinian, and semisimple modules and rings -- Rational extensions and lattices of closed submodules -- Maximal quotient rings -- Semiprime rings with maximum condition -- Nil and singular ideals under maximum conditions -- Structure of noetherian prime rings -- Maximal quotient rings -- Quotient rings and direct products of full linear rings -- Johnson rings -- Open problems. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v46. 606 $aInjective modules (Algebra) 606 $aQuotient rings 615 0$aInjective modules (Algebra) 615 0$aQuotient rings. 676 $a512.4 700 $aFaith$b Carl$f1927-2014,$046677 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466627303316 996 $aLectures on injective modules and quotient rings$9262962 997 $aUNISA LEADER 05519nam 2200697 450 001 9910818223603321 005 20230120010249.0 010 $a1-282-28683-8 010 $a9786612286834 010 $a0-08-092274-0 035 $a(CKB)1000000000716392 035 $a(EBL)421069 035 $a(OCoLC)476255035 035 $a(SSID)ssj0000140153 035 $a(PQKBManifestationID)11159898 035 $a(PQKBTitleCode)TC0000140153 035 $a(PQKBWorkID)10029755 035 $a(PQKB)11770312 035 $a(MiAaPQ)EBC421069 035 $a(MiAaPQ)EBC4434961 035 $a(CaSebORM)9780080922744 035 $a(EXLCZ)991000000000716392 100 $a20081022h20092009 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDistributed source coding $etheory, algorithms, and applications /$fPier Luigi Dragotti, Michael Gastpar 210 1$aAmsterdam ;$aBoston :$cAcademic Press/Elsevier,$d[2009] 210 4$dİ2009 215 $a1 online resource (359 p.) 300 $aDescription based upon print version of record. 311 $a0-12-374485-7 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Distributed Source Coding; Copyright Page; Table of Contents; List of Contributors; Introduction; Part I: Theory; Chapter 1. Foundations of Distributed Source Coding; 1.1 Introduction; 1.2 Centralized Source Coding; 1.2.1 Lossless Source Coding; 1.2.2 Lossy Source Coding; 1.2.3 Lossy Source Coding for Sources with Memory; 1.2.4 Some Notes on Practical Considerations; 1.3 Distributed Source Coding; 1.3.1 Lossless Source Coding; 1.3.2 Lossy Source Coding; 1.3.3 Interaction; 1.4 Remote Source Coding; 1.4.1 Centralized; 1.4.2 Distributed: The CEO Problem 327 $a1.5 Joint Source-channel CodingAcknowledgments; Appendix A: Formal Definitions and Notations; A.1 Notation; A.1.1 Centralized Source Coding; A.1.2 Distributed Source Coding; A.1.3 Remote Source Coding; References; Chapter 2. Distributed Transform Coding; 2.1 Introduction; 2.2 Foundations of Centralized Transform Coding; 2.2.1 Transform Coding Overview; 2.2.2 Lossless Compression; 2.2.3 Quantizers; 2.2.4 Bit Allocation; 2.2.5 Transforms; 2.2.6 Linear Approximation; 2.3 The Distributed Karhunen--Loe?ve Transform; 2.3.1 Problem Statement and Notation; 2.3.2 The Two-terminal Scenario 327 $a2.3.3 The Multiterminal Scenario and the Distributed KLT Algorithm2.4 Alternative Transforms; 2.4.1 Practical Distributed Transform Coding with Side Information; 2.4.2 High-rate Analysis of Source Coding with Side Informationat Decoder; 2.5 New Approaches to Distributed Compression with FRI; 2.5.1 Background on Sampling of 2D FRI Signals; 2.5.2 Detailed Example: Coding Scheme for Translatinga Bi-level Polygon; 2.6 Conclusions; References; Chapter 3. Quantization for Distributed Source Coding; 3.1 Introduction; 3.2 Formulation of the Problem; 3.2.1 Conventions 327 $a3.2.2 Network Distributed Source Coding3.2.3 Cost, Distortion, and Rate Measures; 3.2.4 Optimal Quantizers and Reconstruction Functions; 3.2.5 Example: Quantization of Side Information; 3.3 Optimal Quantizer Design; 3.3.1 Optimality Conditions; 3.3.2 Lloyd Algorithm for Distributed Quantization; 3.4 Experimental Results; 3.5 High-rate Distributed Quantization; 3.5.1 High-rate WZ Quantization of Clean Sources; 3.5.2 High-rate WZ Quantization of Noisy Sources; 3.5.3 High-rate Network Distributed Quantization; 3.6 Experimental Results Revisited; 3.7 Conclusions; References 327 $aChapter 4. Zero-error Distributed Source Coding4.1 Introduction; 4.2 Graph Theoretic Connections; 4.2.1 VLZE Coding and Graphs; 4.2.2 Basic Definitions and Notation; 4.2.3 Graph Entropies; 4.2.4 Graph Capacity; 4.3 Complementary Graph Entropy and VLZE Coding; 4.4 Network Extensions; 4.4.1 Extension 1: VLZE Coding When Side Information May Be Absent; 4.4.2 Extension 2: VLZE Coding with Compound Side Information; 4.5 VLZE Code Design; 4.5.1 Hardness of Optimal Code Design; 4.5.2 Hardness of Coding with Length Constraints; 4.5.3 An Exponential-time Optimal VLZE Code Design Algorithm 327 $a4.6 Conclusions 330 $aThe advent of wireless sensor technology and ad-hoc networks has made DSC a major field of interest. Edited and written by the leading players in the field, this book presents the latest theory, algorithms and applications, making it the definitive reference on DSC for systems designers and implementers, researchers, and graduate students.This book gives a clear understanding of the performance limits of distributed source coders for specific classes of sources and presents the design and application of practical algorithms for realistic scenarios. Material covered includes the use of 606 $aData compression (Telecommunication) 606 $aMultisensor data fusion 606 $aCoding theory 606 $aElectronic data processing$xDistributed processing 615 0$aData compression (Telecommunication) 615 0$aMultisensor data fusion. 615 0$aCoding theory. 615 0$aElectronic data processing$xDistributed processing. 676 $a621.382/16 22 676 $a621.38216 700 $aDragotti$b Pier Luigi$01698897 702 $aGastpar$b Michael 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818223603321 996 $aDistributed source coding$94080729 997 $aUNINA