A unified signal algebra approach to two-dimensional parallel digital signal processing:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1998
|
| Series: | Pure and applied mathematics
210 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 290 S. graph. Darst. |
| ISBN: | 0824700252 |
Staff View
MARC
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Record in the Search Index
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| adam_text | A UNIFIED SIGNAL ALGEBRA APPROACH TO TWO-DIMENSIONAL PARALLEL DIGITAL
SIGNAL PROCESSING LOUIS A. D ALOTTO YORK COLLEGE THE CITY UNIVERSITY OF
NEW YORK QUEENS, NEW YORK CHARLES R. GIARDINA COLLEGE OFSTATEN ISLAND
THE CITY UNIVERSITY OF NEW YORK STATEN ISLAND, NEW YORK HUA LUO YORK
COLLEGE THE CITY UNIVERSITY OF NEW YORK QUEENS, NEW YORK MARCEL DEKKER,
INC. NEW YORK * BASEL * HONG KONG CONTENTS PREFACE V 1 TWO DIMENSIONAL
SIGNALS 1 1.1 TWO DIMENSIONAL DIGITAL SIGNALS 1 1.2 IMPORTANT TWO
DIMENSIONAL DIGITAL SIGNALS 5 1.3 BOUND MATRIX REPRESENTATION 8 1.4
EXERCISES 14 2 FUNDAMENTAL OPERATIONS ON TWO DIMENSIONAL SIG- NALS 17
2.1 FUNDAMENTAL RANGE INDUCED OPERATIONS 17 2.2 TERMS INVOLVING
FUNDAMENTAL RANGE INDUCED OPERA- TIONS 20 2.3 ADDITIONAL IMPORTANT
DIGITAL SIGNALS AND MACRO OP- ERATORS 26 2.4 EQUATIONAL IDENTITIES
INVOLVING RANGE INDUCED OPER- ATIONS 29 2.5 FUNDAMENTAL DOMAIN INDUCED
OPERATIONS 35 2.6 TERMS INVOLVING FUNDAMENTAL DOMAIN INDUCED OPER-
ATIONS 42 2.7 FURTHER EQUATIONAL IDENTITIES 50 2.8 EXERCISES , 53 3
CONVOLUTION OF DIGITAL SIGNALS 59 3.1 THE SUPPORT REGION FOR CONVOLUTION
59 3.2 CONVOLUTION FOR SIGNALS OF FINITE SUPPORT . . . . . . . 61 3.3
BOUND MATRICES FOR CONVOLUTION 65 3.4 PARALLEL CONVOLUTION ALGORITHMS 68
3.5 CONVOLUTION OF SIGNALS OF NON-FINITE SUPPORT 73 3.6 BANACH ALGEBRA
PROPERTIES OF CONVOLUTION IN /I . . . . 79 3.7 FILTERING BY CONVOLUTION
83 3.8 CORRELATION 92 IX CONTENTS 3.9 APPLICATIONS OF CORRELATION 103
3.10 EXERCISES 109 Z TRANSFORMS 115 4.1 FORMAL INTRODUCTION TO Z
TRANSFORMS 115 4.2 SOME OPERATIONS INVOLVING Z TRANSFORMS 118 4.3 Z
TRANSFORMS FOR DIGITAL SIGNALS OF FINITE SUPPORT . . 125 4.4 LAURENT
EXPANSIONS 129 4.5 Z TRANSFORM FOR L SIGNALS AND SIGNALS OF ARBITRARY
SUPPORT 143 4.6 THE Z TRANSFORM FOR CALCULATING CORRELATION 146 4.7
TRANSFER FUNCTIONS 148 4.8 EXERCISES: 153 DIFFERENCE EQUATIONS 159 5.1
FUNCTION EQUATIONS 159 5.2 LINEAR SPACE INVARIANT DIFFERENCE EQUATIONS
161 5.3 DIFFERENCE EQUATIONS INVOLVING ONE UNIT TRANSLATION . 168 5.4 Z
TRANSFORMS FOR SOLVING DIFFERENCE EQUATIONS . . . .178 5.5 EXERCISES 185
WRAPAROUND SIGNAL PROCESSING 187 6.1 WRAPAROUND SIGNALS 187 6.2 RANGE
INDUCED OPERATIONS AND TERMS FOR WRAPAROUND SIGNALS 190 6.3 DOMAIN
INDUCED OPERATIONS FOR WRAPAROUND SIGNALS . 195 6.4 SET MORPHOLOGY IN Z
N X Z M 204 6.5 SEQUENTIAL AND PARALLEL FORMULATION OF WRAPAROUND
CONVOLUTION 212 6.6 SEQUENTIAL AND PARALLEL FORMULATIONS OF WRAPAROUND
CORRELATION 218 ,6.7 WRAPAROUND Z TRANSFORMS 223 6.8 DISCRETE FOURIER
TRANSFORMS 230 6.9 WRAPAROUND ALGEBRA IN Z N X Z M 234 6.10 EXERCISES ,
243 CONTENTS XI PARALLEL MULTIDIMENSIONAL ALGORITHMS FOR SINGLE DI-
MENSIONAL SIGNAL PROCESSING 249 7.1 TWO DIMENSIONAL PROCESSING OF ONE
DIMENSIONAL SIG- NALS 249 7.2 DIAGONAL TRANSFORM FROM ONE DIMENSION INTO
TWO DIMENSIONS 252 7.3 KRONECKER PRODUCTS 254 7.4 TRIPLE CONVOLUTION 259
7.5 TRIPLE CONVOLUTION PERFORMED USING PARALLEL TWO DI- MENSIONAL
CONVOLUTION 261 7.6 VOLTERRA CONVOLUTION AND VOLTERRA SERIES 265 7.7
PARALLEL ALGORITHMS FOR VOLTERRA CONVOLUTION 269 7.8 EXERCISES 275
APPENDIX 279 REFERENCES 287
|
| any_adam_object | 1 |
| author | D'Alotto, Louis A. Giardina, Charles R. Luo, Hua |
| author_facet | D'Alotto, Louis A. Giardina, Charles R. Luo, Hua |
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| author_variant | l a d la lad c r g cr crg h l hl |
| building | Verbundindex |
| bvnumber | BV012311692 |
| callnumber-first | T - Technology |
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| dewey-full | 621.382/2/0285575 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
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| dewey-search | 621.382/2/0285575 |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV012311692 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:25:22Z |
| institution | BVB |
| isbn | 0824700252 |
| language | English |
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| physical | XI, 290 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | D'Alotto, Louis A. Verfasser aut A unified signal algebra approach to two-dimensional parallel digital signal processing Louis A. D'Alotto ; Charles R. Giardina ; Hua Luo New York [u.a.] Dekker 1998 XI, 290 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 210 Algèbre linéaire ram Calcul parallèle Convolutions (mathématiques) ram Exercice signal Filtrage Traitement du signal - Techniques numériques ram Transformation Fourier discrète Transformation Z ram Algebras, Linear Signal processing Digital techniques Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 s Lineare Algebra (DE-588)4035811-2 s DE-604 Giardina, Charles R. Verfasser aut Luo, Hua Verfasser aut Pure and applied mathematics 210 (DE-604)BV000001885 210 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008346483&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | D'Alotto, Louis A. Giardina, Charles R. Luo, Hua A unified signal algebra approach to two-dimensional parallel digital signal processing Pure and applied mathematics Algèbre linéaire ram Calcul parallèle Convolutions (mathématiques) ram Exercice signal Filtrage Traitement du signal - Techniques numériques ram Transformation Fourier discrète Transformation Z ram Algebras, Linear Signal processing Digital techniques Lineare Algebra (DE-588)4035811-2 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4113314-6 |
| title | A unified signal algebra approach to two-dimensional parallel digital signal processing |
| title_auth | A unified signal algebra approach to two-dimensional parallel digital signal processing |
| title_exact_search | A unified signal algebra approach to two-dimensional parallel digital signal processing |
| title_full | A unified signal algebra approach to two-dimensional parallel digital signal processing Louis A. D'Alotto ; Charles R. Giardina ; Hua Luo |
| title_fullStr | A unified signal algebra approach to two-dimensional parallel digital signal processing Louis A. D'Alotto ; Charles R. Giardina ; Hua Luo |
| title_full_unstemmed | A unified signal algebra approach to two-dimensional parallel digital signal processing Louis A. D'Alotto ; Charles R. Giardina ; Hua Luo |
| title_short | A unified signal algebra approach to two-dimensional parallel digital signal processing |
| title_sort | a unified signal algebra approach to two dimensional parallel digital signal processing |
| topic | Algèbre linéaire ram Calcul parallèle Convolutions (mathématiques) ram Exercice signal Filtrage Traitement du signal - Techniques numériques ram Transformation Fourier discrète Transformation Z ram Algebras, Linear Signal processing Digital techniques Lineare Algebra (DE-588)4035811-2 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd |
| topic_facet | Algèbre linéaire Calcul parallèle Convolutions (mathématiques) Exercice signal Filtrage Traitement du signal - Techniques numériques Transformation Fourier discrète Transformation Z Algebras, Linear Signal processing Digital techniques Lineare Algebra Digitale Signalverarbeitung |
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