Analog and Digital Signal Analysis: From Basics to Applications (Modern Acoustics and Signal Processing)

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.

本書提供了全面的研究生級別的類比和數位信號分析，適合課堂使用和自學。這本專業的教材從信號理論的基礎開始，引導讀者逐步了解一系列在聲學分析、地球物理學和數據壓縮中使用的應用工具。每個概念都會逐步介紹和解釋，必要的數學公式以一種易於理解和直觀的方式整合在其中。本書的第一部分探討了類比系統和信號如何形成信號分析的基礎。本部分涵蓋了類比信號的傅立葉級數和積分變換、拉普拉斯和希爾伯特變換、主要的類比濾波器類別以及信號調製。第二部分介紹了數位信號，展示了它們的主要優勢。本部分介紹了z和傅立葉變換、數位濾波、反濾波、反卷積以及對確定性信號的參數建模。還討論了非平穩信號的小波分解和重構。本書的第三部分專門介紹了隨機信號，包括頻譜估計、參數建模和Tikhonov正則化。本部分涵蓋了一個和兩個隨機變量的統計學，以及頻譜分析的原則和方法。在達到遞歸條件和參數估計的情況下，討論了信號特性的估計，包括使用Wiener和Kalman濾波器。兩個附錄介紹了在複平面上的積分基礎和線性代數。第三個附錄介紹了用於計算機信號分析的基本Matlab工具包。這本專業教材提供了堅實的理論理解和實際應用工具。