Think DSP by Downey, Allen B. -- Read -- Imperial Library of Trantor

Index

Preface

Who Is This Book For? Using the Code Conventions Used in This Book Safari® Books Online How to Contact Us Contributor List

1. Sounds and Signals

Periodic Signals Spectral Decomposition Signals Reading and Writing Waves Spectrums Wave Objects Signal Objects Exercises

2. Harmonics

Triangle Waves Square Waves Aliasing Computing the Spectrum Exercises

3. Non-Periodic Signals

Linear Chirp Exponential Chirp Spectrum of a Chirp Spectrogram The Gabor Limit Leakage Windowing Implementing Spectrograms Exercises

4. Noise

Uncorrelated Noise Integrated Spectrum Brownian Noise Pink Noise Gaussian Noise Exercises

5. Autocorrelation

Correlation Serial Correlation Autocorrelation Autocorrelation of Periodic Signals Correlation as Dot Product Using NumPy Exercises

6. Discrete Cosine Transform

Synthesis Synthesis with Arrays Analysis Orthogonal Matrices DCT-IV Inverse DCT The Dct Class Exercises

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

8. Filtering and Convolution

Smoothing Convolution The Frequency Domain The Convolution Theorem Gaussian Filter Efficient Convolution Efficient Autocorrelation Exercises

9. Differentiation and Integration

Finite Differences The Frequency Domain Differentiation Integration Cumulative Sum Integrating Noise Exercises

10. LTI Systems

Signals and Systems Windows and Filters Acoustic Response Systems and Convolution Proof of the Convolution Theorem Exercises

11. Modulation and Sampling

Convolution with Impulses Amplitude Modulation Sampling Aliasing Interpolation Summary Exercises

Index