LEADER 03815nam 2200589 a 450 001 9910438154903321 005 20200520144314.0 010 $a1-283-62171-1 010 $a9786613934161 010 $a0-8176-8373-9 024 7 $a10.1007/978-0-8176-8373-3 035 $a(CKB)2670000000242245 035 $a(EBL)1030321 035 $a(OCoLC)811059043 035 $a(SSID)ssj0000767024 035 $a(PQKBManifestationID)11436181 035 $a(PQKBTitleCode)TC0000767024 035 $a(PQKBWorkID)10732100 035 $a(PQKB)10878282 035 $a(DE-He213)978-0-8176-8373-3 035 $a(MiAaPQ)EBC1030321 035 $a(PPN)168288664 035 $a(EXLCZ)992670000000242245 100 $a20120906d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFinite frames $etheory and applications /$fPeter G. Casazza, Gitta Kutyniok, editors 205 $a1st ed. 2013. 210 $a[New York] $cBirkhauser$dc2013 215 $a1 online resource (491 p.) 225 0$aApplied and numerical harmonic analysis 300 $aDescription based upon print version of record. 311 $a0-8176-8372-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames -- Group Frames -- Gabor Framses in Finite Dimensions -- Frames as Codes -- Quantization and Finite Frames -- Finite Frames for Sparse Signal Processing -- Finite Frames and Filter Banks -- Finite Frame theory in Pure Mathematics -- Probabilitstic Frames -- Fusion Frames. 330 $aHilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics.  More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas.  The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications.  With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more.  It is designed to be used as a supplemental textbook, self-study guide, or reference book. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aFrames (Vector analysis) 615 0$aFrames (Vector analysis) 676 $a515.733 701 $aCasazza$b Peter G$055468 701 $aKutyniok$b Gitta$0472510 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438154903321 996 $aFinite frames$94201256 997 $aUNINA