Intuitive Guide to Fourier Transform and the Spectrum

Intuitive Guide to Fourier Transform and the Spectrum

Author: Charan Langton

Publisher: Springer

Published: 2023-08-06

Total Pages: 0

ISBN-13: 9783031278921

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This book helps a practitioner develop an intuitive understanding of the Fourier transform and its application to data analysis. The authors start with the Fourier series and progress step-by-step from CTFT, DTFT, discrete Fourier transform (DFT) to the Fast Fourier Transform (FFT). Each equation is accompanied by a detailed explanation and graphs. The book also covers the application of the Fourier transform to random signals and how to assess their spectral distribution. Spectrum analysis using both the Parseval's and the Wiener-Khintchine-Einstein theorems of power estimation are discussed. Periodogram and Autopower, the two most common methods of doing non-parametric spectral analysis, are discussed and guidelines are given for creating low-variance, low-bias spectrum using windows and ACF truncation. The book includes numerous examples, detailed explanations and plots, making difficult concepts clear and easy to grasp.


Digital Spectral Analysis MATLAB® Software User Guide

Digital Spectral Analysis MATLAB® Software User Guide

Author: S. Lawrence Marple, Jr.

Publisher: Courier Dover Publications

Published: 2019-06-12

Total Pages: 130

ISBN-13: 0486841359

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This user guide serves as a companion to Digital Spectral Analysis, Second Edition (Dover Publications, 2019), illustrating all the text's techniques and algorithms, plus time versus frequency analysis. The spectral demonstrations use MATLAB software that encompasses the full experience from inputting signal sources, interactively setting technique parameters and processing with those parameters, and choosing from a variety of plotting techniques to display the results. The processing functions and scripts have been coded to automatically handle sample data that is either real-valued or complex-valued, permitting the user to simply modify the demonstration scripts to input their own data for analysis. Four integrated software categories support the demonstrations. These are the main MATLAB spectral demonstration scripts, supporting MATLAB plotting scripts, MATLAB processing functions listed in this guide, and signal sample data sources. Scripts and demonstration data files can be found on the Dover website for free downloading; see the Introduction for details.


Digital Spectral Analysis

Digital Spectral Analysis

Author: S. Lawrence Marple, Jr.

Publisher: Courier Dover Publications

Published: 2019-03-20

Total Pages: 435

ISBN-13: 0486838862

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Designed to offer a broad perspective on spectral estimations techniques and their implementation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. 1987 edition.


Unbiased Stereology

Unbiased Stereology

Author: Vyvyan Howard

Publisher: Garland Science

Published: 2004-11-15

Total Pages: 277

ISBN-13: 0203006399

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Unbiased Stereology, Second Edition is a practical guide to making unbiased 3-D measurements via the microscope. Only those stereological techniques which have been tried and tested by real application are included. Although this technology is essentially mathematical and statistical, the authors do not immerse the reader in complex analysis, but rather provide simple heuristic explanations and references to the original proof, and illustrate the theory by analogies drawn from everyday experience. To give practical experience in application of the techniques, exercises are provided at the end of each chapter, complete with detailed worked answers.


Introduction to Spectral Analysis

Introduction to Spectral Analysis

Author: Petre Stoica

Publisher: Pearson Education

Published: 1997

Total Pages: 358

ISBN-13:

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This book presents an introduction to spectral analysis that is designed for either course use or self-study. Clear and concise in approach, it develops a firm understanding of tools and techniques as well as a solid background for performing research. Topics covered include nonparametric spectrum analysis (both periodogram-based approaches and filter- bank approaches), parametric spectral analysis using rational spectral models (AR, MA, and ARMA models), parametric method for line spectra, and spatial (array) signal processing. Analytical and Matlab-based computer exercises are included to develop both analytical skills and hands-on experience.


The Reading Lesson

The Reading Lesson

Author: Michael Levin

Publisher: Reading Lesson series

Published: 2002-04

Total Pages: 0

ISBN-13: 9780913063026

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Based on phonics and whole language skills, this method advances children ages 3 to 8 from knowing their alphabet to reading second-grade-level picture books.


Signals and Systems Using MATLAB

Signals and Systems Using MATLAB

Author: Luis F. Chaparro

Publisher: Academic Press

Published: 2018-10-29

Total Pages: 838

ISBN-13: 0128142057

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Signals and Systems Using MATLAB, Third Edition, features a pedagogically rich and accessible approach to what can commonly be a mathematically dry subject. Historical notes and common mistakes combined with applications in controls, communications and signal processing help students understand and appreciate the usefulness of the techniques described in the text. This new edition features more end-of-chapter problems, new content on two-dimensional signal processing, and discussions on the state-of-the-art in signal processing. - Introduces both continuous and discrete systems early, then studies each (separately) in-depth - Contains an extensive set of worked examples and homework assignments, with applications for controls, communications, and signal processing - Begins with a review on all the background math necessary to study the subject - Includes MATLAB® applications in every chapter


Digital Signal Processing Using MATLAB for Students and Researchers

Digital Signal Processing Using MATLAB for Students and Researchers

Author: John W. Leis

Publisher: John Wiley & Sons

Published: 2011-10-14

Total Pages: 352

ISBN-13: 1118033809

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Quickly Engages in Applying Algorithmic Techniques to Solve Practical Signal Processing Problems With its active, hands-on learning approach, this text enables readers to master the underlying principles of digital signal processing and its many applications in industries such as digital television, mobile and broadband communications, and medical/scientific devices. Carefully developed MATLAB® examples throughout the text illustrate the mathematical concepts and use of digital signal processing algorithms. Readers will develop a deeper understanding of how to apply the algorithms by manipulating the codes in the examples to see their effect. Moreover, plenty of exercises help to put knowledge into practice solving real-world signal processing challenges. Following an introductory chapter, the text explores: Sampled signals and digital processing Random signals Representing signals and systems Temporal and spatial signal processing Frequency analysis of signals Discrete-time filters and recursive filters Each chapter begins with chapter objectives and an introduction. A summary at the end of each chapter ensures that one has mastered all the key concepts and techniques before progressing in the text. Lastly, appendices listing selected web resources, research papers, and related textbooks enable the investigation of individual topics in greater depth. Upon completion of this text, readers will understand how to apply key algorithmic techniques to address practical signal processing problems as well as develop their own signal processing algorithms. Moreover, the text provides a solid foundation for evaluating and applying new digital processing signal techniques as they are developed.