Discrete Fourier transforms and their applications:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English Czech |
| Published: |
Bristol and Boston
Adam Hilger Ltd
1986
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 141 Seiten |
| ISBN: | 0852748000 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002199204 | ||
| 003 | DE-604 | ||
| 005 | 20220201 | ||
| 007 | t | ||
| 008 | 890928s1986 |||| 00||| eng d | ||
| 020 | |a 0852748000 |9 0-85274-800-0 | ||
| 035 | |a (OCoLC)16922498 | ||
| 035 | |a (DE-599)BVBBV002199204 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 1 | |a eng |h cze | |
| 049 | |a DE-91 |a DE-91G |a DE-384 |a DE-739 |a DE-355 |a DE-29T |a DE-706 |a DE-83 |a DE-11 | ||
| 050 | 0 | |a QA404 | |
| 082 | 0 | |a 515.7/23 |2 19 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a MAT 424f |2 stub | ||
| 084 | |a 65T05 |2 msc | ||
| 084 | |a 42A38 |2 msc | ||
| 100 | 1 | |a Čižek, Václav |0 (DE-588)1242345809 |4 aut | |
| 240 | 1 | 0 | |a Diskretní Fourierova transformace a její použití |
| 245 | 1 | 0 | |a Discrete Fourier transforms and their applications |c Čižek, Václav |
| 264 | 1 | |a Bristol and Boston |b Adam Hilger Ltd |c 1986 | |
| 300 | |a 141 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Fourier, transformations de |2 ram | |
| 650 | 4 | |a Fourier transformations | |
| 650 | 0 | 7 | |a Diskrete Fourier-Transformation |0 (DE-588)4150175-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Diskrete Fourier-Transformation |0 (DE-588)4150175-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Jirát, Jaroslav |4 trl | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001444733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001444733 | ||
Record in the Search Index
| _version_ | 1804116654687256576 |
|---|---|
| adam_text | CONTENTS
1. INTRODUCTION 9
1.1 Origin and meaning of discrete Fourier transforms .... 9
1.2 Applications of discrete Fourier transforms 9
1.3 Aim of the book 10
2. FOURIER SERIES 11
2.1 Basic properties of Fourier series 11
2.2 Approximation by a trigonometric polynomial with a mini¬
mum quadratic deviation at given points 19
2.3 Distributions 23
2.4 Fourier transforms 26
3. PRACTICAL METHODS OF COMPUTING FOURIER
TRANSFORMS 31
3.1 Problems of computing Fourier transforms 31
3.2 Computation of Fourier transforms by means of polynomial
interpolation 36
3.3 Elimination of the effect of function discontinuities 47
4. DISCRETE FOURIER TRANSFORMS 51
4.1 Definition of discrete Fourier transforms and their pro¬
perties 51
4.2 Other properties of discrete Fourier transforms 62
4.3 Discrete Fourier transform of modified sequences 72
5. OTHER PROPERTIES OF DISCRETE FOURIER
TRANSFORMS AND THEIR USE IN COMPUTING
FOURIER TRANSFORMS 83
5.1 Relationship between discrete Fourier transforms, Fourier
transforms and Fourier series 83
5.2 Relationship of the discrete Fourier transform to a Fourier
transform of the symbolic expression of function values
at single points 88
5.3 Discrete Fourier transforms and interpolation 92
5
5.4 Computation of a Fourier transform by means of the
discrete Fourier transform 94
6. METHODS OF COMPUTATION OF DISCRETE
FOURIER TRANSFORMS 98
6.1 Introduction 98
6.2 Algorithms for the fast Fourier transform for N= 2m . . . 99
6.3 Fast Fourier transform for general N 108
6.4 Other principles of the fast Fourier transform computation 112
6.5 Algorithms for economical computation of the discrete
Fourier transform 116
7. SOME APPLICATIONS OF DISCRETE FOURIER
TRANSFORMS 121
7.1 Application of the discrete Fourier transform to the compu¬
tation of a convolution 121
7.2 Application of discrete Fourier transforms to computations
of correlation and of power spectrum density 126
7.3 Two dimensional discrete Fourier transforms 128
8. DISCRETE HILBERT TRANSFORMS 130
8.1 Computation of Hilbert transforms by means of the discrete
Fourier transform 130
8.2 Discrete Hilbert transforms 133
8.3 Some applications of discrete Hilbert transforms 134
BIBLIOGRAPHY 136
INDEX 140
6
|
| any_adam_object | 1 |
| author | Čižek, Václav |
| author2 | Jirát, Jaroslav |
| author2_role | trl |
| author2_variant | j j jj |
| author_GND | (DE-588)1242345809 |
| author_facet | Čižek, Václav Jirát, Jaroslav |
| author_role | aut |
| author_sort | Čižek, Václav |
| author_variant | v č vč |
| building | Verbundindex |
| bvnumber | BV002199204 |
| callnumber-first | Q - Science |
| callnumber-label | QA404 |
| callnumber-raw | QA404 |
| callnumber-search | QA404 |
| callnumber-sort | QA 3404 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 450 |
| classification_tum | MAT 424f |
| ctrlnum | (OCoLC)16922498 (DE-599)BVBBV002199204 |
| dewey-full | 515.7/23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/23 |
| dewey-search | 515.7/23 |
| dewey-sort | 3515.7 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01589nam a2200421 c 4500</leader><controlfield tag="001">BV002199204</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220201 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1986 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0852748000</subfield><subfield code="9">0-85274-800-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)16922498</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002199204</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">cze</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA404</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7/23</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 424f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65T05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42A38</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Čižek, Václav</subfield><subfield code="0">(DE-588)1242345809</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Diskretní Fourierova transformace a její použití</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Discrete Fourier transforms and their applications</subfield><subfield code="c">Čižek, Václav</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bristol and Boston</subfield><subfield code="b">Adam Hilger Ltd</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">141 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fourier, transformations de</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier transformations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diskrete Fourier-Transformation</subfield><subfield code="0">(DE-588)4150175-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Diskrete Fourier-Transformation</subfield><subfield code="0">(DE-588)4150175-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jirát, Jaroslav</subfield><subfield code="4">trl</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001444733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001444733</subfield></datafield></record></collection> |
| id | DE-604.BV002199204 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:41:57Z |
| institution | BVB |
| isbn | 0852748000 |
| language | English Czech |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001444733 |
| oclc_num | 16922498 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-29T DE-706 DE-83 DE-11 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-29T DE-706 DE-83 DE-11 |
| physical | 141 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Adam Hilger Ltd |
| record_format | marc |
| spelling | Čižek, Václav (DE-588)1242345809 aut Diskretní Fourierova transformace a její použití Discrete Fourier transforms and their applications Čižek, Václav Bristol and Boston Adam Hilger Ltd 1986 141 Seiten txt rdacontent n rdamedia nc rdacarrier Fourier, transformations de ram Fourier transformations Diskrete Fourier-Transformation (DE-588)4150175-5 gnd rswk-swf Diskrete Fourier-Transformation (DE-588)4150175-5 s DE-604 Jirát, Jaroslav trl HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001444733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Čižek, Václav Discrete Fourier transforms and their applications Fourier, transformations de ram Fourier transformations Diskrete Fourier-Transformation (DE-588)4150175-5 gnd |
| subject_GND | (DE-588)4150175-5 |
| title | Discrete Fourier transforms and their applications |
| title_alt | Diskretní Fourierova transformace a její použití |
| title_auth | Discrete Fourier transforms and their applications |
| title_exact_search | Discrete Fourier transforms and their applications |
| title_full | Discrete Fourier transforms and their applications Čižek, Václav |
| title_fullStr | Discrete Fourier transforms and their applications Čižek, Václav |
| title_full_unstemmed | Discrete Fourier transforms and their applications Čižek, Václav |
| title_short | Discrete Fourier transforms and their applications |
| title_sort | discrete fourier transforms and their applications |
| topic | Fourier, transformations de ram Fourier transformations Diskrete Fourier-Transformation (DE-588)4150175-5 gnd |
| topic_facet | Fourier, transformations de Fourier transformations Diskrete Fourier-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001444733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cizekvaclav diskretnifourierovatransformaceajejipouziti AT jiratjaroslav diskretnifourierovatransformaceajejipouziti AT cizekvaclav discretefouriertransformsandtheirapplications AT jiratjaroslav discretefouriertransformsandtheirapplications |