| Description |
1 online resource (xxxvii, 622 pages) : illustrations (some color) |
| Series |
Signals and communication technology, 1860-4862 |
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Signals and communication technology, 1860-4862
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| Contents |
Intro; Preface; Contents; List of Figures; Listings; Part I Signals and Data; 1 Periodic Signals; 1.1 Introduction; 1.2 Signal Representation; 1.3 Generation of Periodic Signals; 1.3.1 Sinusoidal; 1.3.2 Square; 1.3.3 Sawtooth; 1.4 Hearing the Signals; 1.5 Operations with Signals; 1.5.1 Adding Signals; 1.5.2 Multiplication; 1.6 Harmonics. Fourier; 1.6.1 Odd Signals; 1.6.2 Even Signals; 1.6.3 Half Wave Symmetry; 1.6.4 Pulse Train; 1.7 Sampling Frequency; 1.8 Suggested Experiments and Exercises; 1.9 Resources; 1.9.1 MATLAB; 1.9.2 Web Sites; References; 2 Statistical Aspects; 2.1 Introduction |
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2.2 Random Signals and Probability Density Distributions2.2.1 Basic Concepts; 2.2.2 Random Signal with Uniform PD; 2.2.3 Random Signal with Normal (Gaussian) PDF; 2.2.4 Random Signal with Log-Normal PDF; 2.3 Expectations and Moments; 2.3.1 Expected Values, and Moments; 2.3.2 Mean, Variance, Etc.; 2.3.3 Transforms; 2.3.4 White Noise; 2.4 Power Spectra; 2.4.1 Basic Concept; 2.4.2 Example of Power Spectral Density of a Random Variable; 2.4.3 Detecting a Sinusoidal Signal Buried in Noise; 2.4.4 Hearing Random Signals; 2.5 More Types of PDFs; 2.5.1 Distributions Related with the Gamma Function |
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2.5.2 Weibull and Rayleigh PDFs2.5.3 Multivariate Gaussian PDFs; 2.5.4 Discrete Distributions; 2.6 Distribution Estimation; 2.6.1 Probability Plots; 2.6.2 Histogram; 2.6.3 Likelihood; 2.6.4 The Method of Moments; 2.6.5 Mixture of Gaussians; 2.6.6 Kernel Methods; 2.7 Monte Carlo Methods; 2.7.1 Monte Carlo Integration; 2.7.2 Generation of Random Data with a Desired PDF; 2.8 Central Limit; 2.9 Bayes' Rule; 2.9.1 Conditional Probability; 2.9.2 Bayes' Rule; 2.9.3 Bayesian Networks. Graphical Models; 2.10 Markov Process; 2.10.1 Markov Chain; 2.10.2 Markov Chain Monte Carlo (MCMC) |
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2.10.3 Hidden Markov Chain (HMM)2.11 MATLAB Tools for Distributions; 2.12 Resources; 2.12.1 MATLAB; 2.12.2 Web Sites; References; Part II Filtering; 3 Linear Systems; 3.1 Introduction; 3.2 Examples About Transfer Functions; 3.2.1 A Basic Low-Pass Electronic Filter; 3.2.2 A Basic Resonant Electronic Filter; 3.3 Response of Continuous Linear Systems; 3.3.1 Frequency Response; 3.3.2 Time Domain Response; 3.4 Response of Discrete Linear Systems; 3.5 Random Signals Through Linear Systems; 3.6 State Variables; 3.7 State Space Gauss -- Markov Model; 3.7.1 A Scalar State Space Case |
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3.7.2 General State Space Case3.8 Time-Series Models; 3.8.1 The Discrete Transfer Function in Terms of the Backshift Operator; 3.8.2 Considering Random Variables; 3.9 Resources; 3.9.1 MATLAB; 3.9.2 Web Sites; References; 4 Analog Filters; 4.1 Introduction; 4.2 Basic First Order Filters; 4.3 A Basic Way for Filter Design; 4.4 Causality and the Ideal Band-Pass Filter; 4.5 Three Approximations to the Ideal Low-Pass Filter; 4.5.1 Butterworth Filter; 4.5.2 Chebyshev Filter; 4.5.3 Elliptic Filter; 4.5.4 Comparison of Filters; 4.5.5 Details of the MATLAB Signal Processing Toolbox |
| Summary |
This is the first volume in a trilogy on modern Signal Processing. The three books provide a concise exposition of signal processing topics, and a guide to support individual practical exploration based on MATLAB programs. This book includes MATLAB codes to illustrate each of the main steps of the theory, offering a self-contained guide suitable for independent study. The code is embedded in the text, helping readers to put into practice the ideas and methods discussed. The book is divided into three parts, the first of which introduces readers to periodic and non-periodic signals. The second part is devoted to filtering, which is an important and commonly used application. The third part addresses more advanced topics, including the analysis of real-world non-stationary signals and data, e.g. structural fatigue, earthquakes, electro-encephalograms, birdsong, etc. The book's last chapter focuses on modulation, an example of the intentional use of non-stationary signals |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed December 1, 2016) |
| SUBJECT |
MATLAB. http://id.loc.gov/authorities/names/n92036881
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MATLAB fast |
| Subject |
Signal processing -- Digital techniques -- Data processing
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Signal processing -- Digital techniques -- Data processing
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| Form |
Electronic book
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| ISBN |
9789811025341 |
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9811025347 |
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