thinkdsp
Free

thinkdsp

By Unknown
Free
Book Description
Table of Contents
  • Preface
    • Who is this book for?
    • Using the code
  • Sounds and signals
    • Periodic signals
    • Spectral decomposition
    • Signals
    • Reading and writing Waves
    • Spectrums
    • Wave objects
    • Signal objects
    • Exercises
  • Harmonics
    • Triangle waves
    • Square waves
    • Aliasing
    • Computing the spectrum
    • Exercises
  • Non-periodic signals
    • Linear chirp
    • Exponential chirp
    • Spectrum of a chirp
    • Spectrogram
    • The Gabor limit
    • Leakage
    • Windowing
    • Implementing spectrograms
    • Exercises
  • Noise
    • Uncorrelated noise
    • Integrated spectrum
    • Brownian noise
    • Pink Noise
    • Gaussian noise
    • Exercises
  • Autocorrelation
    • Correlation
    • Serial correlation
    • Autocorrelation
    • Autocorrelation of periodic signals
    • Correlation as dot product
    • Using NumPy
    • Exercises
  • Discrete Cosine Transform
    • Synthesis
    • Synthesis with arrays
    • Analysis
    • Orthogonal matrices
    • DCT-IV
    • Inverse DCT
    • The Dct class
    • Exercises
  • 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
  • Filtering and Convolution
    • Smoothing
    • Convolution
    • The frequency domain
    • The Convolution Theorem
    • Gaussian filter
    • Efficient convolution
    • Efficient autocorrelation
    • Exercises
  • Differentiation and Integration
    • Finite differences
    • The frequency domain
    • Differentiation
    • Integration
    • Cumulative sum
    • Integrating noise
    • Exercises
  • LTI systems
    • Signals and systems
    • Windows and filters
    • Acoustic response
    • Systems and convolution
    • Proof of the Convolution Theorem
    • Exercises
  • Modulation and sampling
    • Convolution with impulses
    • Amplitude modulation
    • Sampling
    • Aliasing
    • Interpolation
    • Summary
    • Exercises
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