The FFT fundamentals and concepts: fundamentals and concepts
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Englewood Cliffs, N.J. <<[u.a.]>>
Prentice-Hall
1985
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 178 S. graph. Darst. |
| ISBN: | 0133143864 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804140419410296832 |
|---|---|
| adam_text | Contents
PREFACE jx
PART I Introduction to Fourier Analysis 1
1 TIME AND FREQUENCY: TWO BASES OF DESCRIPTION 3
Time Histories Need Time Bases 4
Sinusoids Look Different from a Frequency Viewpoint 7
Nonsinusoidal Waveforms Are Composed of Sinusoids 12
Getting into the Frequency Domain 15
2 DESCRIBING THE FREQUENCY DOMAIN—
THE FOURIER SERIES 17
Conditions for Existence 18
The Fourier Series Yields Discrete Spectra 19
Using The Fourier Series—Matters of Practicality 25
vi Contents
3 FOURIER INTEGRAL YIELDS SPECTRA
FOR NONPERIODIC WAVEFORMS 27
The Fourier Integral Is Related to the Fourier Series 27
Understanding Frequency-Domain Diagrams 32
Functions Are Even or Odd or the Sum of Even and Odd Parts 41
Periodic or Nonperiodic?—It s Your Point of View 46
A Summary of Some Important Fourier Transform Properties 53
Using the Fourier Integral—Matters of Practicality 58
PART II Digital Fourier Analysis 61
4 INTRODUCTION TO THE DISCRETE
AND FAST FOURIER TRANSFORMS 63
Windowing and Sampling Are Old Ideas with New Names 63
The DFT Works on Sampled Data 67
How the FFT Algorithm Came About 72
Putting the Algorithm to Work—Hardware, Firmware, or Software? 74
5 UNDERSTANDING FFT RESULTS-
BASIC DATA FORMATS 76
A Brief Recap and a Look Ahead 76
Providing Time-Domain Data for the FFT 77
FFT Results Are Normally in Rectangular Form 79
FFT Results Can Be in Polar Form 82
6 UNDERSTANDING FFT RESULTS—RECOGNIZING
THE REALITIES OF DIGITAL FOURIER ANALYSIS 92
What Is Being Transformed? 93
What Are the Effects of Analog-to-Digital Conversion? 98
Other Sources of Error 123
Contents vii
7 A GUIDE TO USING THE FFT 124
Some Important Properties of the FFT 124
Some Guidelines for Improving FFT Results 125
8 A BRIEF LOOK AT SOME FFT APPLICATIONS 146
Distortion Analysis 146
Vibration and Mechanical Signature Analysis 148
Frequency Response Estimation (Transfer Functions) 150
Convolution 152
Correlation 154
Power Spectra 160
PART III Mathematics of the FFT 161
9 AN ALGORITHM FOR COMPUTING THE DFT 163
The Sande-Tukey Algorithm for Computing the DFT 164
A BASIC Program for FFT-IFT Computation 168
BIBLIOGRAPHY 173
INDEX 175
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| author_sort | Ramirez, Robert W. |
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| bvnumber | BV024442131 |
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| ctrlnum | (OCoLC)247547570 (DE-599)BVBBV024442131 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:59:41Z |
| institution | BVB |
| isbn | 0133143864 |
| language | Undetermined |
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| physical | XI, 178 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Prentice-Hall |
| record_format | marc |
| spelling | Ramirez, Robert W. Verfasser aut The FFT fundamentals and concepts fundamentals and concepts Robert W. Ramirez Englewood Cliffs, N.J. <<[u.a.]>> Prentice-Hall 1985 XI, 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Schnelle Fourier-Transformation (DE-588)4136070-9 gnd rswk-swf Schnelle Fourier-Transformation (DE-588)4136070-9 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018418966&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ramirez, Robert W. The FFT fundamentals and concepts fundamentals and concepts Schnelle Fourier-Transformation (DE-588)4136070-9 gnd |
| subject_GND | (DE-588)4136070-9 |
| title | The FFT fundamentals and concepts fundamentals and concepts |
| title_auth | The FFT fundamentals and concepts fundamentals and concepts |
| title_exact_search | The FFT fundamentals and concepts fundamentals and concepts |
| title_full | The FFT fundamentals and concepts fundamentals and concepts Robert W. Ramirez |
| title_fullStr | The FFT fundamentals and concepts fundamentals and concepts Robert W. Ramirez |
| title_full_unstemmed | The FFT fundamentals and concepts fundamentals and concepts Robert W. Ramirez |
| title_short | The FFT fundamentals and concepts |
| title_sort | the fft fundamentals and concepts fundamentals and concepts |
| title_sub | fundamentals and concepts |
| topic | Schnelle Fourier-Transformation (DE-588)4136070-9 gnd |
| topic_facet | Schnelle Fourier-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018418966&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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