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Think DSP_ Digital Signal Processing in Python.pdf

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    Cover
    Copyright
    Table of Contents
    Copyright
    Table of Contents
    About the Author
    Preface
    Who is this book for?
    Using the code
    Contributor List
    Chapter 1. Sounds and signals
    Periodic signals
    Spectral decomposition
    Signals
    Reading and writing Waves
    Spectrums
    Wave objects
    Signal objects
    Exercises
    Chapter 2. Harmonics
    Triangle waves
    Square waves
    Aliasing
    Computing the spectrum
    Exercises
    Chapter 3. Non-periodic signals
    Linear chirp
    Exponential chirp
    Spectrum of a chirp
    Spectrogram
    The Gabor limit
    Leakage
    Windowing
    Implementing spectrograms
    Exercises
    Chapter 4. Noise
    Uncorrelated noise
    Integrated spectrum
    Brownian noise
    Pink Noise
    Gaussian noise
    Exercises
    Chapter 5. Autocorrelation
    Correlation
    Serial correlation
    Autocorrelation
    Autocorrelation of periodic signals
    Correlation as dot product
    Using NumPy
    Exercises
    Chapter 6. Discrete cosine transform
    Chapter 7. Discrete Fourier Transform
    Chapter 8. Filtering and Convolution
    Chapter 9. Signals and systems
    Chapter 10. Modulation and sampling
    Index
    www.it-ebooks.info
    Think DSP by Allen B. Downey Copyright © 2016 O’Reilly Media. All rights reserved. Printed in the United States of America. Published by O’Reilly Media, Inc. , 1005 Gravenstein Highway North, Sebastopol, CA 95472. O’Reilly books may be purchased for educational, business, or sales promotional use. Online editions are also available for most titles ( http://safaribooksonline.com ). For more information, contact our corporate/ institutional sales department: 800-998-9938 or corporate@oreilly.com . Editors: Nan Barber and Susan Conant Production Editor: FILL IN PRODUCTION EDI‐ TOR Copyeditor: FILL IN COPYEDITOR Proofreader: FILL IN PROOFREADER Indexer: FILL IN INDEXER Interior Designer: David Futato Cover Designer: Karen Montgomery Illustrator: Rebecca Demarest January -4712: First Edition Revision History for the First Edition 2016-03-01: First Early Release See http://oreilly.com/catalog/errata.csp?isbn=9781491938485 for release details. The O’Reilly logo is a registered trademark of O’Reilly Media, Inc. Think DSP, the cover image, and related trade dress are trademarks of O’Reilly Media, Inc. While the publisher and the author(s) have used good faith efforts to ensure that the information and instructions contained in this work are accurate, the publisher and the author(s) disclaim all responsibil‐ ity for errors or omissions, including without limitation responsibility for damages resulting from the use of or reliance on this work. Use of the information and instructions contained in this work is at your own risk. If any code samples or other technology this work contains or describes is subject to open source licenses or the intellectual property rights of others, it is your responsibility to ensure that your use thereof complies with such licenses and/or rights. 978-1-491-93848-5 [FILL IN] www.it-ebooks.info
    www.it-ebooks.info
    Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi 1. Sounds and signals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Periodic signals 16 Spectral decomposition 18 Signals 19 Reading and writing Waves 21 Spectrums 22 Wave objects 23 Signal objects 23 Exercises 25 2. Harmonics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Triangle waves 27 Square waves 30 Aliasing 32 Computing the spectrum 35 Exercises 36 3. Non-periodic signals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Linear chirp 40 Exponential chirp 42 Spectrum of a chirp 43 Spectrogram 44 The Gabor limit 45 Leakage 46 Windowing 48 Implementing spectrograms 50 www.it-ebooks.info iii
    Exercises 51 4. Noise. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Uncorrelated noise 56 Integrated spectrum 58 Brownian noise 60 Pink Noise 64 Gaussian noise 67 Exercises 68 5. Autocorrelation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Correlation 71 Serial correlation 74 Autocorrelation 75 Autocorrelation of periodic signals 77 Correlation as dot product 81 Using NumPy 82 Exercises 83 6. Discrete cosine transform. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 7. Discrete Fourier Transform. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 8. Filtering and Convolution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 9. Signals and systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 10. Modulation and sampling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Index. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 iv | Table of Contents www.it-ebooks.info
    TH EDITION Think DSP Allen B. Downey www.it-ebooks.info Boston
    Think DSP by Allen B. Downey www.it-ebooks.info
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