Textbook in PDF format This book presents digital signal processing theories and methods and their applications in data analysis, error analysis and statistical signal processing. Algorithms and MatLAB programming are included to guide readers step by step in dealing with practical difficulties. Designed in a self-contained way, the book is suitable for graduate students in electrical engineering, information science and engineering in general. Wide coverage on analytical methods in signals and systems. Application-oriented with abundant examples, exercises and case studies. Adapted to learning pattern. Preface Basic Concepts and Principles of Signals and Systems Fourier Theory and Frequency Analysis of Signals and Systems The Complex Frequency Domain Analysis of Signals and Systems with Laplace Transform and z-Transform Discretization of Continuous-Time Signals and Reconstruction of Discrete-Time Signals Discrete Fourier Transform and Fast Fourier Transform Digital Filter and Digital Filter Design Finite-Precision Numerical Effects in Digital Signal Processing Data Error Analysis and Signal Preprocessing Fundamentals of Random Signal Processing Correlation Estimation and Power Spectral Density (PSD) Estimation of Random Signals The Optimal Filtering for Random Signals Adaptive Filtering Higher-Order and Fractional Lower-Order Statistics Introduction of Modern Signal Processing Bibliography Index