Fast approximate discrete Fourier transform based on subband decomposition:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Bochum
[Arbeitsgruppe Digitale Signalverarbeitung, Ruhr-Univ.]
1994
|
| Series: | Arbeiten über digitale Signalverarbeitung
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Bochum, Univ., Diss., 1994 |
| Physical Description: | IV, 135 S. graph. Darst. |
Staff View
MARC
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| 001 | BV010155907 | ||
| 003 | DE-604 | ||
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| 007 | t | ||
| 008 | 950410s1994 gw d||| m||| 00||| ger d | ||
| 016 | 7 | |a 943878225 |2 DE-101 | |
| 035 | |a (OCoLC)75611130 | ||
| 035 | |a (DE-599)BVBBV010155907 | ||
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| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
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| 084 | |a ELT 502d |2 stub | ||
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| 100 | 1 | |a Hossen, Abdul Nasir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fast approximate discrete Fourier transform based on subband decomposition |c vorgelegt von Abdul Nasir Hossen |
| 264 | 1 | |a Bochum |b [Arbeitsgruppe Digitale Signalverarbeitung, Ruhr-Univ.] |c 1994 | |
| 300 | |a IV, 135 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Arbeiten über digitale Signalverarbeitung |v 6 | |
| 500 | |a Zugl.: Bochum, Univ., Diss., 1994 | ||
| 650 | 0 | 7 | |a Schnelle Fourier-Transformation |0 (DE-588)4136070-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Schnelle Fourier-Transformation |0 (DE-588)4136070-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Arbeiten über digitale Signalverarbeitung |v 6 |w (DE-604)BV004826817 |9 6 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006746215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006746215 | |
Record in the Search Index
| _version_ | 1807320975715336192 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
OUTLINE
OF
THE
DISSERTATION
.
4
2
SB-FFT
7
2.1
INTRODUCTION
.
7
2.2
THE
FAST
FOURIER
TRANSFORM
.
7
2.2.1
DECIMATION-IN-TIME
(DIT)
FFT
.
8
2.2.2
DECIMATION-IN-FREQUENCY
(DIF)
FFT
.
9
2.3
BASIC
IDEA
OF
SB-FFT
.
11
2.3.1
BLOCK
DIAGRAM
.
11
2.3.2
SIGNAL-FLOW
GRAPH
.
12
2.3.2.1
FULL-BAND
SB-FFT
.
12
2.3.2.2
HALF-BAND
SB-FFT
.
13
2.3.2.3
QUARTER-BAND
SB-FFT
.
14
2.4
FILTER-BANK
INTERPRETATION
.
15
2.4.1
DFT
.
15
2.4.2
CT-FFT
.
16
2.4.3
FULL-BAND
SB-FFT
.
17
2.4.4
PARTIAL-BAND
SB-FFT
.
18
2.4.4.1
HALF-BAND
SB-FFT
.
18
2.4.4.2
QUARTER-BAND
SB-FFT
.
19
2.5
CONCLUDING
REMARKS
.
19
3
ACCURACY
OF
SB-FFT
21
3.1
INTRODUCTION
.
21
3.2
DERIVING
THE
EQUATIONS
OF
THE
APPROXIMATION
ERRORS
.
21
II
C
ONTENTS
3.2.1
TWO-BAND
LOW-PASS
CASE
.
21
3.2.2
FOUR-BAND
LOW-LOW
CASE
.
23
3.3
LINEAR
DISTORTIONS
.
24
3.3.1
LOW-PASS
CASE
.
24
3.3.2
HIGH-PASS
CASE
.
24
3.3.3
GENERAL
CASE
.
25
3.4
ALIASING
ERRORS
.
25
3.5
CONCLUDING
REMARKS
.
I
.
31
4
COMPLEXITY
OF
SB
-
FFT
33
4.1
INTRODUCTION
.
33
4.2
FULL-BAND
ANALYSIS
.
34
4.2.1
SIMPLIFIED
FULL-BAND
SFG
.
34
4.2.2
ALGORITHMIC
COMPLEXITY
.
34
4.3
HALF-BAND
ANALYSIS
.
36
4.4
GENERAL
NARROW-BAND
ANALYSIS
.
38
4.4.1
PARTIAL-BAND
ALGORITHMS
.
38
4.4.1.1
GOERTZEL
'
S
ALGORITHM
.
38
4.4.1.2
TRANSFORM-DECOMPOSITION
METHOD
.
40
4.4.1.3
PRUNED
FFT
.
41
4.4.2
SPLIT-RADIX
FFT
.
43
4.4.3
COMPUTATIONAL
COMPLEXITY
COMPARISON
WITH
SB-DFT
.
46
4.5
CONCLUDING
REMARKS
.
48
5
ADAPTIVE
SB-FFT
49
5.1
INTRODUCTION
.
49
5.2
ADAPTIVE
SB-FFT
.
49
5.2.1
BAND
SELECTION
.
50
5.2.1.1
THE
METHOD
DUE
TO
MITRA
AND
SHENTOV
[19]
.
50
5.2.1.2
THE
MODIFIED
BAND
SELECTION
METHOD
.
51
5.2.1.3
COMPARISON
.
52
5.2.2
GENERAL
INDEX-CALCULATION
ALGORITHM
.
53
5.2.3
RUNNING-TIME
COMPARISON
.
55
5.2.4
DIFFERENT
DECISION
ALGORITHMS
.
56
5.2.4.1
FIXED
DECISION
ALGORITHM
.
56
5.2.4.2
SOFT
DECISION
ALGORITHM
.
57
5.3
CONCLUDING
REMARKS
.
59
C
ONTENTS
III
6
COEFFICIENT
ERRORS
IN
SB-FFT
61
6.1
INTRODUCTION
.
61
6.2
COEFFICIENT
ERRORS
.
61
6.2.1
DFT
AND
RADIX-2
DECIMATION-IN-TIME
CT-FFT
.
61
6.2.2
FULL-BAND
SB-FFT
.
64
6.2.3
VARIOUS
REPRESENTATIONS
OF
THE
COEFFICIENT
ERRORS
.
68
6.2.4
PARTIAL-BAND
SB-FFT
.
71
6.3
CONCLUDING
REMARKS
.
74
7
ARITHMETIC
ERRORS
IN
SB-FFT
75
7.1
INTRODUCTION
.
75
7.2
ARITHMETIC
ERRORS
.
75
7.2.1
RADIX-2
DIT
FFT
.
75
7.2.2
SB-FFT
.
76
7.2.3
DIFFERENT
ERRORS
.
77
7.3
DIFFERENT
VARIANTS
.
78
7.3.1
RADIX-2
DIT
FFT
.
78
7.3.2
SB-FFT
.
79
7.4
ERROR
MODEL
.
80
7.5
DERIVATION
OF
ERROR
EQUATIONS
.
80
7.5.1
SCALING
ERRORS
.
81
7.5.1.1
SCALING
IN
THE
HADAMARD
PART
.
81
7.5.1.2
SCALING
IN
THE
RECOMBINATION
PART
.
82
7.5.2
WORDLENGTH
REDUCTION
AFTER
MULTIPLICATION
.
84
7.5.2.1
WORDLENGTH
REDUCTION
DIRECTLY
AFTER
THE
MULTIPLICATION
.
.
84
7.5.2.2
WORDLENGTH
REDUCTION
AT
THE
OUTPUT
OF
THE
BUTTERFLY
.
86
7.6
RESULTS
FOR
DIFFERENT
REALIZATIONS
.
88
7.6.1
CT-FFT
REALIZATION
.
88
7.6.2
FULL-BAND
SB-FFT
REALIZATION
.
88
7.6.3
PARTIAL-BAND
SB-FFT
REALIZATION
.
92
7.7
COMPARISON
.
97
7.7.1
CT-FFT
VARIANTS
.
97
7.7.2
SB-FFT
VARIANTS
.
97
7.7.3
FFT3
AND
SBFFT3
VARIANTS
.
97
7.7.4
COMPARISON
BETWEEN
THE
ALIASING
ERROR
AND
ARITHMETIC
ERROR
IN
PARTIAL-BAND
SB-FFT
.
99
7.8
CONCLUDING
REMARKS
.
'
.
100
IV
C
ONTENTS
8
TWO-DIMENSIONAL
SB-FFT
103
8.1
INTRODUCTION
.
103
8.2
2-D
SB-DFT
.
103
8.3
2-D
SB-FFT
.
104
8.4
APPROXIMATION
ERRORS
.
106
8.4.1
LINEAR
DISTORTION
.
106
8.4.2
ALIASING
ERRORS
.
106
8.5
COMPUTATIONAL
COMPLEXITY
.
108
8.6
ADAPTIVE
2-D
SB-DFT
METHOD
.
110
8.7
IMAGE-TRANSFORM
EXAMPLE
.
111
8.8
CONCLUDING
REMARKS
.
111
9
DIFFERENT
APPROACHES
FOR
RESOLUTION
IMPROVEMENT
115
9.1
INTRODUCTION
.
115
9.2
ZOOM-FFTS
.
115
9.3
RESOLUTION
IMPROVEMENT
USING
DIFFERENT
APPROACHES
.
117
9.3.1
PARTIAL-BAND
DFT
ALGORITHMS
.
117
9.3.2
PARTIAL-BAND
ALGORITHMS
WITH
ZERO-PADDING
.
119
9.3.3
SB-ZOOM
FFT
.
121
9.4
MEASUREMENTS
OF
DOPPLER
FREQUENCY
.
123
9.4.1
DOPPLER-FREQUENCY
ESTIMATION
METHODS
.
125
9.4.1.1
DIRECT
METHODS
.
125
9.4.1.2
INDIRECT
METHODS
.
125
9.5
CONCLUDING
REMARKS
.
127
10
CONCLUSIONS
129
10.1
SUMMARY
.
129
10.2
CONCLUDING
REMARKS
.
129
10.3
IDEAS
FOR
FUERTHER
WORK
.
132
BIBLIOGRAPHY
133 |
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| author | Hossen, Abdul Nasir |
| author_facet | Hossen, Abdul Nasir |
| author_role | aut |
| author_sort | Hossen, Abdul Nasir |
| author_variant | a n h an anh |
| building | Verbundindex |
| bvnumber | BV010155907 |
| classification_tum | ELT 502d ELT 515d |
| ctrlnum | (OCoLC)75611130 (DE-599)BVBBV010155907 |
| discipline | Elektrotechnik Medizin |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV010155907 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:33:14Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006746215 |
| oclc_num | 75611130 |
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| owner_facet | DE-29T DE-355 DE-BY-UBR DE-91 DE-BY-TUM |
| physical | IV, 135 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | [Arbeitsgruppe Digitale Signalverarbeitung, Ruhr-Univ.] |
| record_format | marc |
| series | Arbeiten über digitale Signalverarbeitung |
| series2 | Arbeiten über digitale Signalverarbeitung |
| spelling | Hossen, Abdul Nasir Verfasser aut Fast approximate discrete Fourier transform based on subband decomposition vorgelegt von Abdul Nasir Hossen Bochum [Arbeitsgruppe Digitale Signalverarbeitung, Ruhr-Univ.] 1994 IV, 135 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Arbeiten über digitale Signalverarbeitung 6 Zugl.: Bochum, Univ., Diss., 1994 Schnelle Fourier-Transformation (DE-588)4136070-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Schnelle Fourier-Transformation (DE-588)4136070-9 s DE-604 Arbeiten über digitale Signalverarbeitung 6 (DE-604)BV004826817 6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006746215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hossen, Abdul Nasir Fast approximate discrete Fourier transform based on subband decomposition Arbeiten über digitale Signalverarbeitung Schnelle Fourier-Transformation (DE-588)4136070-9 gnd |
| subject_GND | (DE-588)4136070-9 (DE-588)4113937-9 |
| title | Fast approximate discrete Fourier transform based on subband decomposition |
| title_auth | Fast approximate discrete Fourier transform based on subband decomposition |
| title_exact_search | Fast approximate discrete Fourier transform based on subband decomposition |
| title_full | Fast approximate discrete Fourier transform based on subband decomposition vorgelegt von Abdul Nasir Hossen |
| title_fullStr | Fast approximate discrete Fourier transform based on subband decomposition vorgelegt von Abdul Nasir Hossen |
| title_full_unstemmed | Fast approximate discrete Fourier transform based on subband decomposition vorgelegt von Abdul Nasir Hossen |
| title_short | Fast approximate discrete Fourier transform based on subband decomposition |
| title_sort | fast approximate discrete fourier transform based on subband decomposition |
| topic | Schnelle Fourier-Transformation (DE-588)4136070-9 gnd |
| topic_facet | Schnelle Fourier-Transformation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006746215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004826817 |
| work_keys_str_mv | AT hossenabdulnasir fastapproximatediscretefouriertransformbasedonsubbanddecomposition |