Filter Theory Example

Spectral Analysis and Filter Theory in Applied Geophysics

This book is intended to be an introduction to the fundamentals and methods of spectral analysis and filter theory and their appli cations in geophysics. The principles and theoretical basis of the various methods are described, their efficiency and effectiveness eval uated, and instructions provided for their practical application. Be sides the conventional methods, newer methods arediscussed, such as the spectral analysis ofrandom processes by fitting models to the ob served data, maximum-entropy spectral analysis and maximum-like lihood spectral analysis, the Wiener and Kalman filtering methods, homomorphic deconvolution, and adaptive methods for nonstation ary processes. Multidimensional spectral analysis and filtering, as well as multichannel filters, are given extensive treatment. The book provides a survey of the state-of-the-art of spectral analysis and fil ter theory. The importance and possibilities ofspectral analysis and filter theory in geophysics for data acquisition, processing and eval uation are illustrated with practical examples from various fields of applied geophysics. Although this book was planned primarily as a textbook for a course on the analysis of geophysical time· series, it may also be of interest to scientists and engineers who process other digital data. It provides a comprehensive discussion of the theoretical fundamen tals and a compilation of the extensive literature on the subject. I hope that I have succeeded in presenting the various principles and methods of time-series analysis comprehensively and without error. Comments on errors or suggestions for improvements are welcome.

Design and Analysis of Analog Filters

Design and Analysis of Analog Filters: A Signal Processing Perspective includes signal processing/systems concepts as well as implementation. While most books on analog filter design briefly present the signal processing/systems concepts, and then concentrate on a variety of filter implementation methods, the present book reverses the emphasis, stressing signal processing concepts. Filter implementation topics are presented in Part II: passive filters, and operational amplifier active filters. However, greater emphasis on signal processing/systems concepts is included in Part I of the book than is typical. This emphasis makes the book very appropriate as part of a signal processing curriculum. Useful Aspects of Design and Analysis of Analog Filters: A Signal Processing Perspective extensive use of MATLAB® throughout, with many homework problems involving the use of MATLAB. over 200 figures; over 100 examples; a total of 345 homework problems, appearing at the ends of the chapters; complete and thorough presentation of design characteristics; complete catalog of design approaches. Audience: Design and Analysis of Analog Filters: A Signal Processing Perspective will interest anyone with a standard electrical engineering background, with a B.S. degree or beyond, or at the senior level. While designed as a textbook, its numerous practical examples make it useful as a reference for practicing engineers and scientists, particularly those working in systems design or communications. MATLAB® Examples: A valuable relationship between analog filter theory and analysis and modern digital signal processing is made by the application of MATLAB to both the design and analysis of analog filters. Throughout the book, computer-oriented problems are assigned. The disk that accompanies this book contains MATLAB functions and m-files written specifically for this book. The MATLAB functions on the disk extend basic MATLAB capabilities in terms of the design and analysis of analog filters. The m-files are used in a number of examples in the book. They are included on the disk as an instructional aid.

Introduction to Digital Filter Theory