Verfügbarkeit: Digital filters

Digital filters:

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Bibliographische Detailangaben
1. Verfasser:	Hamming, Richard W. 1915-1998 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Mineola, NY Dover Publ. [ca. 2007]
Ausgabe:	3. ed., corr.
Schriftenreihe:	Dover books on engineering
Schlagworte:	Bildverarbeitung Digitalfilter Filter
Online-Zugang:	Inhaltsverzeichnis Inhaltsverzeichnis Klappentext
Beschreibung:	XIV, 284 S. graph. Darst.
ISBN:	048665088X 9780486650883

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Datensatz im Suchindex

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adam_text	IMAGE 1 DIGITALFILTERS THIRD EDITION R. W. HAMMING BELLLABORATORIES DOVERPUBLICATIONS,INC. MINEOLA,NEWYORK IMAGE 2 CONTENTS PREFACE TO TIIETILLRD EDFFION 1 INTRODUCTION 1.1 WHATISADIGITALFILTER? 1 1.2 WHYSHOULDWECAREABOUTDIGITAL FILTERS?7 1.3 HOWSHALLWETREATTHESUBJECT? 10 1.4 GENERAL-PURPOSEYERSUSSPECIAL-PURPOSE COMPUTERS 10 1.5 ASSUMEDSTATISTICALBACKGROUND 11 1.6THEDISTRIBUTION OF ASTATISTIC 15 1.7 NOISEAMPLIFICATION IN AFILTER 17 1.8GEOMETRIEPROGRESSIONS 19 2 THEFREQUENCYAPPROACH 2.1 INTRODUCTION 21 2.2ALIASING 22 2.3THEIDEAOFANEIGENFUNCTION 25 2.4INVARIANCEUNDERTRANSLATION 28 2.5LINEARSYSTEMS 31 2.6THEEIGENFUNCTIONS OF EQUALLYSPACED SAMPLING 33 2.7SUMMARY 34 XI 1 21 V IMAGE 3 VI I CONTENTS 3 SOMECLASSICALAPPLICATIONS 3.1 INTRODUCTION 36 3.2LEAST-SQUARESFITTING OF POLYNOMIALS 37 3.3LEAST-SQUARESQUADRATICSANDQUARTICS 42 3.4MODIFIEDLEASTSQUARES47 3.5DIFFERENCESANDDERIVATIVES 50 3.6MOREONSMOOTHING:DECIBLES54 3.7MISSINGDATAANDINTERPOLATION 56 3.8ACLASS OF NONRECURSIVESMOOTHING FILTERS59 3.9 AN EXAMPLE OF HOWAFILTERWORKS 63 3.10INTEGRATION:RECURSIVEFILTERS 66 3.11 SUMMARY 70 4 FOURIERSERIES:CONTINUOUSCASE 4.1 NEEDFORTHETHEORY 71 4.2ORTHOGONALITY 72 4.3 FORMALEXPANSIONS 75 4.4ODDANDEVENFUNCTIONS 82 4.5 FOURIERSERIESANDLEASTSQUARES 86 4.6CLASSOFFUNCTIONSANDRATE OF CONVERGENCE88 4.7CONVERGENCEATAPOINT OF CONTINUITY 90 4.8CONVERGENCEATAPOINTOF DISCONTINUITY 94 4.9THECOMPLEXFOURIERSERIES 95 4.10THEPHASEFORMOFAFOURIERSERIES 99 5 WINDOWS 5.1 INTRODUCTION 102 5.2GENERATINGNEWFOURIERSERIES: THECONVOLUTIONTHEOREMS 103 5.3 THEGIBBSPHENOMENON 107 5.4LANCZOSSMOOTHING:THESIGMA FACTORS 109 5.5THEGIBBSPHENOMENONAGAIN112 5.6MODIFIEDFOURIERSERIES 115 5.7THEVONHANNWINDOW:THERAISEDCOSINE WINDOW 116 36 71 102 IMAGE 4 5.8HAMMINGWINDOW:RAISEDCOSINEWITHA PLATFORM 118 5.9REVIEWOFWINDOWS LU 6 DESIGNOFNONRECURSIVEFILTERS 6.1 INTRODUCTION 124 6.2ALOW-PASSFILTERDESIGN127 6.3 CONTINUOUSDESIGNMETHODS: AREVIEW 130 6.4ADIFFERENTIATIONFILTER 133 6.5TESTINGTHEDIFFERENTIATINGFILTERON DATA 138 6.6NEWFILTERSFROM OLD ONES:SHARPENINGA FILTER 140 6.7BANDPASSDIFFERENTIATORS147 6.8MIDPOINTFORMULAS147 7 SMOOTHNONRECURSIVEFILTERS 7.1 OBJECTIONSTORIPPLES IN ATRANSFER FUNCTION 150 7.2SMOOTHFILTERS 153 7.3 TRANSFORMINGTOTHEFOURIERSERIES 157 7.4 POLYNOMIALPROCESSING IN GENERAL 159 7.5 THEDESIGNOFASMOOTHFILTER 160 7.6SMOOTHBANDPASSFILTERS 162 8 THE FOURIERINTEGRAL AND THESAMPLING THEOREM 8.1 INTRODUCTION 164 8.2SUMMARYOFRESULTS 165 8.3 THESAMPLINGTHEOREM 166 8.4THEFOURIERINTEGRAL 169 8.5SOMETRANSFORMPAIRS 170 8.6BAND-LIMITEDFUNCTIONSANDTHESAMPLING THEOREM 173 8.7THECONVOLUTIONTHEOREM 176 8.8THEEFFECT OF AFINITESAMPIESIZE 177 8.9WINDOWS 179 8.10THEUNCERTAINTYPRINCIPLE 181 CONTENTS / VII 124 150 164 IMAGE 5 VIII I CONTENTS 9 KAISERWINDOWS AND OPTIMIZATION 9.1WINDOWS185 9.2REVIEW OF GIBBSPHENOMENONANDTHE RECTANGULARWINDOW187 9.3THEKAISERWINDOW:IO-SINHWINDOW189 9.4DERIVATION OF THEKAISERFORMULAS194 9.5DESIGN OF ABANDPASSFILTER195 9.6REVIEW OF KAISERWINDOWFILTER DESIGN 196 9.7THESAMEDIFFERENTIATORAGAIN198 9.8APARTICULARCASE OF DIFFERENTIATION199 9.9OPTIMIZINGADESIGN 203 9.10ACRUDEMETHOD OF OPTIMIZING 204 10 THEFINITEFOURIERSERIES 10.1INTRODUCTION 208 10.2ORTHOGONALITY 208 10.3 RELATIONSHIPBETWEENTHEDISCRETEAND CONTINUOUSEXPANSIONS 212 10.4 THE FAST FOURIERTRANSFORM214 10.5COSINEEXPANSIONS 216 10.6ANOTHERMETHOD OF DESIGN 217 10.7PADDINGOUTZEROS217 11 THESPECTRUM 11.1 REVIEW 219 11. 2FINITESAMPLEEFFECTS 220 11.3ALIASING 221 11.4COMPUTINGTHESPECTRUM 221 11.5NONHARMONIEFREQUENCIES 223 11.6REMOVAL OF THEMEAN224 11.7THEPHASESPECTRUM 227 11.8SUMMARY228 12 RECURSIVEFILTERS 12.1 WHYRECURSIVEFILTERS? 230 12.2LINEARDIFFERENTIALEQUATIONTHEORY 233 12.3LINEARDIFFERENCEEQUATIONS 238 185 208 219 230 IMAGE 6 12.4 REDUCTIONTOSIMPLERFORM 240 12.5 STABILITYANDTHEZTRANSFORMATION 244 12.6 BUTTERWORTHFILTERS 246 12.7 ASIMPLECASE OF BUTTERWORTHFILTER DESIGN 250 12.8 REMOVINGTHEPHASE:TWO-WAYFILTERS 252 13 CHEBYSHEV APPROXIMATION AND CHEBYSHEV FILTERS 13.1 INTRODUCTION 253 13.2 CHEBYSHEVPOLYNAMIALS 254 13.3 THECHEBYSHEVCRITERION 256 13.4 CHEBYSHEVFILTERS258 13.5 CHEBYSHEVFILTERS,TYPE1258 13.6CHEBYSHEVFILTERS,TYPE2 263 13.7 ELLIPTICFILTERS264 13.8 LEVELINGAN ERRAR CURVE264 13.9ACHEBYSHEVIDENTITY 265 13.10 AN EXAMPLE OF THEDESIGNOFAN INTEGRATOR267 13.11 PHASE-FREERECURSIVEFILTERS 270 13.12 THETRANSIENT 270 14 MISCELLANEOUS 14.1 TYPESOFFILTERDESIGN 272 14.2 FINITEARITHMETICEFFECTS 273 14.3 RECURSIVEVERSUSNONRECURSIVEFILTERS 275 14.4 DIRECTMODELING276 14.5 DECIMATION277 14.6TIME-VARYINGFILTERS277 14.7REFERENCES 278 INDEX CONTENTS / IX 253 272 281 і ■ Digital signals, occur in an increasing number of applications; in telephone communications; in radio, television, and stereo sound systems, and in spacecraft transmissions, to name just a few. This introductory text examines digital filtering, the processes of smoothing, predicting, differentiating, inte¬ grating, and separating signals, as well as the removal of noise from a signal. The processes bear particular relevance to computer applications, one of the focuses of this book. Readers will find Hammings analysis accessible and engaging, in recognition of the fact that many people with the strongest need for an understanding of digital filtering do not have a strong background in mathematics or electrical engineering. Thus, this book assumes only a knowledge of calculus and a smattering of statistics (reviewed in the text). Adopting the simplest, most direct mathematical tools, the author concentrates on linear signal process¬ ing; the main exceptions are the examination of round-off effects and a brief mention of Kalman filters. This updated edition includes more matericu on the z-transfòrni as well us additional examples and exercises for further reinforcement of each chapter s contents. The result is an accessible, highly useful resource for the broad range of people working in the iïeld of digital signal processing.
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author	Hamming, Richard W. 1915-1998
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discipline	Elektrotechnik / Elektronik / Nachrichtentechnik
edition	3. ed., corr.
format	Book
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spelling	Hamming, Richard W. 1915-1998 Verfasser (DE-588)131671863 aut Digital filters R. W. Hamming 3. ed., corr. Mineola, NY Dover Publ. [ca. 2007] XIV, 284 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dover books on engineering Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Digitalfilter (DE-588)4070477-4 gnd rswk-swf Filter (DE-588)4017157-7 gnd rswk-swf Digitalfilter (DE-588)4070477-4 s DE-604 Filter (DE-588)4017157-7 s 1\p DE-604 Bildverarbeitung (DE-588)4006684-8 s 2\p DE-604 http://www.gbv.de/dms/weimar/toc/600380432_toc.pdf Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600070&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600070&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Hamming, Richard W. 1915-1998 Digital filters Bildverarbeitung (DE-588)4006684-8 gnd Digitalfilter (DE-588)4070477-4 gnd Filter (DE-588)4017157-7 gnd
subject_GND	(DE-588)4006684-8 (DE-588)4070477-4 (DE-588)4017157-7
title	Digital filters
title_auth	Digital filters
title_exact_search	Digital filters
title_full	Digital filters R. W. Hamming
title_fullStr	Digital filters R. W. Hamming
title_full_unstemmed	Digital filters R. W. Hamming
title_short	Digital filters
title_sort	digital filters
topic	Bildverarbeitung (DE-588)4006684-8 gnd Digitalfilter (DE-588)4070477-4 gnd Filter (DE-588)4017157-7 gnd
topic_facet	Bildverarbeitung Digitalfilter Filter
url	http://www.gbv.de/dms/weimar/toc/600380432_toc.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600070&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600070&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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