Books & Videos

Table of Contents

  1. Chapter 1 Sounds and Signals

    1. Periodic Signals

    2. Spectral Decomposition

    3. Signals

    4. Reading and Writing Waves

    5. Spectrums

    6. Wave Objects

    7. Signal Objects

    8. Exercises

  2. Chapter 2 Harmonics

    1. Triangle Waves

    2. Square Waves

    3. Aliasing

    4. Computing the Spectrum

    5. Exercises

  3. Chapter 3 Non-Periodic Signals

    1. Linear Chirp

    2. Exponential Chirp

    3. Spectrum of a Chirp

    4. Spectrogram

    5. The Gabor Limit

    6. Leakage

    7. Windowing

    8. Implementing Spectrograms

    9. Exercises

  4. Chapter 4 Noise

    1. Uncorrelated Noise

    2. Integrated Spectrum

    3. Brownian Noise

    4. Pink Noise

    5. Gaussian Noise

    6. Exercises

  5. Chapter 5 Autocorrelation

    1. Correlation

    2. Serial Correlation

    3. Autocorrelation

    4. Autocorrelation of Periodic Signals

    5. Correlation as Dot Product

    6. Using NumPy

    7. Exercises

  6. Chapter 6 Discrete Cosine Transform

    1. Synthesis

    2. Synthesis with Arrays

    3. Analysis

    4. Orthogonal Matrices

    5. DCT-IV

    6. Inverse DCT

    7. The Dct Class

    8. Exercises

  7. Chapter 7 Discrete Fourier Transform

    1. Complex Exponentials

    2. Complex Signals

    3. The Synthesis Problem

    4. Synthesis with Matrices

    5. The Analysis Problem

    6. Efficient Analysis

    7. DFT

    8. The DFT Is Periodic

    9. DFT of Real Signals

    10. Exercises

  8. Chapter 8 Filtering and Convolution

    1. Smoothing

    2. Convolution

    3. The Frequency Domain

    4. The Convolution Theorem

    5. Gaussian Filter

    6. Efficient Convolution

    7. Efficient Autocorrelation

    8. Exercises

  9. Chapter 9 Differentiation and Integration

    1. Finite Differences

    2. The Frequency Domain

    3. Differentiation

    4. Integration

    5. Cumulative Sum

    6. Integrating Noise

    7. Exercises

  10. Chapter 10 LTI Systems

    1. Signals and Systems

    2. Windows and Filters

    3. Acoustic Response

    4. Systems and Convolution

    5. Proof of the Convolution Theorem

    6. Exercises

  11. Chapter 11 Modulation and Sampling

    1. Convolution with Impulses

    2. Amplitude Modulation

    3. Sampling

    4. Aliasing

    5. Interpolation

    6. Summary

    7. Exercises