LEADER 05948nam 22007095 450 001 9910818048003321 005 20240516012258.0 010 $a1-4613-9757-X 024 7 $a10.1007/978-1-4613-9757-1 035 $a(CKB)3400000000093660 035 $a(SSID)ssj0001007239 035 $a(PQKBManifestationID)11523001 035 $a(PQKBTitleCode)TC0001007239 035 $a(PQKBWorkID)10935312 035 $a(PQKB)10799025 035 $a(DE-He213)978-1-4613-9757-1 035 $a(MiAaPQ)EBC3079448 035 $a(PPN)238075923 035 $a(EXLCZ)993400000000093660 100 $a20121227d1993 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced Topics in Shannon Sampling and Interpolation Theory /$fedited by Robert J.II Marks 205 $a1st ed. 1993. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1993. 215 $a1 online resource (XIII, 360 p.) 225 1 $aSpringer Texts in Electrical Engineering,$x1431-8482 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-97906-9 311 $a1-4613-9759-6 320 $aIncludes bibliographical references and index. 327 $a1 Gabor?s Signal Expansion and Its Relation to Sampling of the Sliding-Window Spectrum -- 1.1 Introduction -- 1.2 Sliding-Window Spectrum -- 1.3 Sampling Theorem for the Sliding-Window Spectrum -- 1.4 Examples of Window Functions -- 1.5 Gabor?s Signal Expansion -- 1.6 Examples of Elementary Signals -- 1.7 Degrees of Freedom of a Signal -- 1.8 Optical Generation of Gabor?s Expansion Coefficients for Rastered Signals -- 1.9 Conclusion -- 2 Sampling in Optics -- 2.1 Introduction -- 2.2 Historical Background -- 2.3 The von Laue Analysis -- 2.4 Degrees of Freedom of an Image -- 2.5 Superresolving Pupils -- 2.6 Fresnel SampHng -- 2.7 Exponential SampHng -- 2.8 Partially Coherent Fields -- 2.9 Optical Processing -- 2.10 Conclusion -- 3 A Multidimensional Extension of Papoulis? Generalized Sampling Expansion with the Application in Minimum Density Sampling -- I: A Multidimensional Extension of Papoulis? Generalized Sampling Expansion -- 3.1 Introduction -- 3.2 GSE Formulation -- 3.3 M-D Extension -- 3.4 Extension Generalization -- 3.5 Conclusion -- II: Sampling Multidimensional Band-Limited Functions At Minimum Densities -- 3.6 Sample Interdependency -- 3.7 Sampling Density Reduction Using M-D GSE -- 3.8 Computational Complexity of the Two Formulations -- 3.9 Sampling at the Minimum Density -- 3.10 Discussion -- 3.11 Conclusion -- 4 Nonuniform Sampling -- 4.1 Preliminary Discussions -- 4.2 General Nonuniform Sampling Theorems -- 4.3 Spectral Analysis of Nonuniform Samples and Signal Recovery -- 4.4 Discussion on Reconstruction Methods -- 5 Linear Prediction by Samples from the Past -- 5.1 Preliminaries -- 5.2 Prediction of Deterministic Signals -- 5.3 Prediction of Random Signals -- 6 Polar, Spiral, and Generalized Sampling and Interpolation -- 6.1 Introduction -- 6.2 Sampling in Polar Coordinates -- 6.3 Spiral Sampling -- 6.4 Reconstruction from Non-Uniform Samples by Convex Projections -- 6.5 Experimental Results -- 6.6 Conclusions -- Appendix A -- Appendix B -- 7 Error Analysis in Application of Generalizations of the Sampling Theorem -- Foreword: Welcomed General Sources for the Sampling Theorems -- 7.1 Introduction ? Sampling Theorems -- 7.2 Error Bounds of the Present Extension of the Sampling Theorem -- 7.3 Applications -- Appendix A -- A.1 Analysis of Gibbs? Phenomena. 330 $aAdvanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field. 410 0$aSpringer Texts in Electrical Engineering,$x1431-8482 606 $aElectrical engineering 606 $aComputers 606 $aChemometrics 606 $aComputational intelligence 606 $aElectrical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T24000 606 $aModels and Principles$3https://scigraph.springernature.com/ontologies/product-market-codes/I18016 606 $aMath. Applications in Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C17004 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 615 0$aElectrical engineering. 615 0$aComputers. 615 0$aChemometrics. 615 0$aComputational intelligence. 615 14$aElectrical Engineering. 615 24$aModels and Principles. 615 24$aMath. Applications in Chemistry. 615 24$aComputational Intelligence. 676 $a621.3 702 $aMarks$b Robert J.II$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818048003321 996 $aAdvanced Topics in Shannon Sampling and Interpolation Theory$92673198 997 $aUNINA