
Think DSP
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Content
- Intro
- Copyright
- Table of Contents
- Preface
- Who Is This Book For?
- Using the Code
- Conventions Used in This Book
- Safari® Books Online
- How to Contact Us
- 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
- Synthesis
- Synthesis with Arrays
- Analysis
- Orthogonal Matrices
- DCT-IV
- Inverse DCT
- The Dct Class
- Exercises
- Chapter 7. Discrete Fourier Transform
- Complex Exponentials
- Complex Signals
- The Synthesis Problem
- Synthesis with Matrices
- The Analysis Problem
- Efficient Analysis
- DFT
- The DFT Is Periodic
- DFT of Real Signals
- Exercises
- Chapter 8. Filtering and Convolution
- Smoothing
- Convolution
- The Frequency Domain
- The Convolution Theorem
- Gaussian Filter
- Efficient Convolution
- Efficient Autocorrelation
- Exercises
- Chapter 9. Differentiation and Integration
- Finite Differences
- The Frequency Domain
- Differentiation
- Integration
- Cumulative Sum
- Integrating Noise
- Exercises
- Chapter 10. LTI Systems
- Signals and Systems
- Windows and Filters
- Acoustic Response
- Systems and Convolution
- Proof of the Convolution Theorem
- Exercises
- Chapter 11. Modulation and Sampling
- Convolution with Impulses
- Amplitude Modulation
- Sampling
- Aliasing
- Interpolation
- Summary
- Exercises
- Index
- About the Author
- Colophon
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