A First Course in Statistics for Signal Analysis Wojbor A. Woyczyński

Part I. Part I

1. Description of Signals

2. Spectral Representation of Deterministic Signals: Fourier Series and Transforms

3. Uncertainty Principle and Wavelet Transforms

4. Random Quantities and Random Vectors

Part II. Part II

5. Stationary Signals

6. Power Spectra of Stationary Signals

7. Transmission of Stationary Signals Through Linear Systems

Part III. Part III

8. Optimization of Signal-to-Noise Ratio in Linear Systems

9. Gaussian Signals, Covariance Matrices, and Sample Path Properties

10. Spectral Representation of Discrete-Time Stationary Signals and Their Computer Simulations

11. Prediction Theory for Stationary Random Signals