Analog and Digital Signal Analysis

1. Front Matter

   Pages i-xxiii

   PDF

2. Notions on Systems

   • Frédéric Cohen Tenoudji

   Pages 1-10

3. First and Second Order Systems

   • Frédéric Cohen Tenoudji

   Pages 11-34

4. Fourier Series

   • Frédéric Cohen Tenoudji

   Pages 35-57

5. The Dirac Distribution

   • Frédéric Cohen Tenoudji

   Pages 59-75

6. Fourier Transform

   • Frédéric Cohen Tenoudji

   Pages 77-92

7. Fourier Transform and LTI Filter Systems

   • Frédéric Cohen Tenoudji

   Pages 93-110

8. Fourier Transforms and Convolution Calculations

   • Frédéric Cohen Tenoudji

   Pages 111-136

9. Impulse Response of LTI Systems

   • Frédéric Cohen Tenoudji

   Pages 137-148

10. Laplace Transform

    • Frédéric Cohen Tenoudji

    Pages 149-158

11. Analog Filters

    • Frédéric Cohen Tenoudji

    Pages 159-175

12. Causal Signals—Analytic Signals

    • Frédéric Cohen Tenoudji

    Pages 177-205

13. Time–Frequency Analysis

    • Frédéric Cohen Tenoudji

    Pages 207-226

14. Notions on Digital Signals

    • Frédéric Cohen Tenoudji

    Pages 227-234

15. Discrete Systems—Moving Average Systems

    • Frédéric Cohen Tenoudji

    Pages 235-251

16. Z-Transform

    • Frédéric Cohen Tenoudji

    Pages 253-262

17. Fourier Transform of Digital Signals

    • Frédéric Cohen Tenoudji

    Pages 263-289

18. Autoregressive Systems (AR)—ARMA Systems

    • Frédéric Cohen Tenoudji

    Pages 291-320

19. Minimum-Phase Systems—Deconvolution

    • Frédéric Cohen Tenoudji

    Pages 321-335

20. Wavelets; Multiresolution Analysis

    • Frédéric Cohen Tenoudji

    Pages 337-373

This book provides comprehensive, graduate-level treatment of analog and digital signal analysis suitable for course use and self-guided learning. This expert text guides the reader from the basics of signal theory through a range of application tools for use in acoustic analysis, geophysics, and data compression. Each concept is introduced and explained step by step, and the necessary mathematical formulae are integrated in an accessible and intuitive way. The first part of the book explores how analog systems and signals form the basics of signal analysis. This section covers Fourier series and integral transforms of analog signals, Laplace and Hilbert transforms, the main analog filter classes, and signal modulations. Part II covers digital signals, demonstrating their key advantages. It presents z and Fourier transforms, digital filtering, inverse filters, deconvolution, and parametric modeling for deterministic signals. Wavelet decomposition and reconstruction of non-stationary signals are also discussed. The third part of the book is devoted to random signals, including spectral estimation, parametric modeling, and Tikhonov regularization. It covers statistics of one and two random variables and the principles and methods of spectral analysis. Estimation of signal properties is discussed in the context of ergodicity conditions and parameter estimations, including the use of Wiener and Kalman filters. Two appendices cover the basics of integration in the complex plane and linear algebra. A third appendix presents a basic Matlab toolkit for computer signal analysis. This expert text provides both a solid theoretical understanding and tools for real-world applications.

• Acoustic Analysis
• Analog and Digital Signal Analysis
• Analog and Digital Signal Analysis Graduate Text
• Arma Systems
• Autoregressive Systems
• Data Compression
• Deterministic Signals
• Ergodicity Conditions
• Estimation Theory
• Multiresolution Analysis
• Parametric Modeling
• Random Signals
• Signal Theory
• Spectral Analysis
• Spectral Estimation
• Wiener and Kalman Filtering
• information and communication, circuits

“The first thing to say about this book is that it is comprehensive. Its 600+ pages cover a lot of ground and at a fairly deep level. … Overall impressions are positive and the book is definitely a valuable addition to my library.” (Todd Welti, Journal of the Audio Engineering Society, Vol. 65 (5), May, 2017)  

• UPMC University, Neuilly sur Seine, France

  Frédéric Cohen Tenoudji

Frédéric Cohen Tenoudji is Emeritus Professor at Pierre and Marie Curie University in Paris. His research field is non-destructive evaluation by ultrasonics, defect characterization, and linear and non-linear sound propagation in heterogeneous materials with applications to civil engineering: concrete cure monitoring, materials structural integrity. He develops ultrasound instrumentation for NDE with graphic user interface and embedded signal processing.


Cohen Tenoudji teaches signal processing, sensors, ultrasonics, and object-oriented programming. From 1985-86 he was Member of the Technical Staff at the Science Center of Rockwell International, NDE department, in Thousand Oaks, California.

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