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Introduction to applied statistical signal analysis : guide to biomedical and electrical engineering applications

Author: Richard Shiavi
Publisher: Amsterdam ; Boston : Elsevier Academic Press, ©2007.
Edition/Format:   eBook : Document : English : 3rd edView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Shiavi, Richard.
Introduction to applied statistical signal analysis.
Amsterdam ; Boston : Elsevier Academic Press, ©2007
(OCoLC)70059536
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Richard Shiavi
ISBN: 9780080467689 0080467687
OCLC Number: 86082622
Description: 1 online resource (xxii, 402 pages) : illustrations
Contents: Cover --
Copyright Page --
Table of Contents --
Preface --
Dedication --
Acknowledgments --
List of symbols --
Chapter 1 Introduction and terminology --
1.1 Introduction --
1.2 Signal terminology --
1.2.1 Domain Types --
1.2.2 Amplitude Types --
1.2.3 Basic Signal Forms --
1.2.4 The Transformed Domain-The Frequency Domain --
1.2.5 General Amplitude Properties --
1.3 Analog to digital conversion --
1.4 Measures of signal properties --
1.4.1 Time Domain --
1.4.2 Frequency Domain --
References --
Chapter 2 Empirical modeling and approximation --
2.1 Introduction --
2.2 Model development --
2.3 Generalized least squares --
2.4 Generalities --
2.5 Models from linearization --
2.6 Orthogonal polynomials --
2.7 Interpolation and extrapolation --
2.7.1 Lagrange Polynomials --
2.7.2 Spline Interpolation --
2.8 Overview --
References --
Exercises --
Chapter 3 Fourier analysis --
3.1 Introduction --
3.2 Review of fourier series --
3.2.1 Definition --
3.2.2 Convergence --
3.3 Overview of fourier transform relationships --
3.3.1 Continuous versus Discrete Time --
3.3.2 Discrete Time and Frequency --
3.4 Discrete fourier transform --
3.4.1 Definition Continued --
3.4.2 Partial Summary of DFT Properties and Theorems --
3.5 Fourier analysis --
3.5.1 Frequency Range and Scaling --
3.5.2 The Effect of Discretizing Frequency --
3.5.3 The Effect of Truncation --
3.5.4 Windowing --
3.5.5 Resolution --
3.5.6 Detrending --
3.6 Procedural summary --
3.7 Selected applications --
References --
Exercises --
Appendices --
Appendix 3.1 DFT of ionosphere data --
Appendix 3.2 Review of properties of orthogonal functions --
Appendix 3.3 The fourier transform --
Appendix 3.4 Data and spectral windows --
Chapter 4 Probability concepts and signal characteristics --
4.1 Introduction --
4.2 Introduction to random variables --
4.2.1 Probability Descriptors --
4.2.2 Moments of Random Variables --
4.2.3 Gaussian Random Variable --
4.3 Joint probability --
4.3.1 Bivariate Distributions --
4.3.2 Moments of Bivariate Distributions --
4.4 Concept of sampling and estimation --
4.4.1 Sample Moments --
4.4.2 Significance of the Estimate --
4.5 Density function estimation --
4.5.1 General Principle for χ2 Approach --
4.5.2 Detailed Procedure for χ2 Approach --
4.5.3 Quantile-Quantile Approach --
4.6 Correlation and regression --
4.6.1 Estimate of Correlation --
4.6.2 Simple Regression Model --
4.7 General properties of estimators --
4.7.1 Convergence --
4.7.2 Recursion --
4.7.3 Maximum Likelihood Estimation --
4.8 Random numbers and signal characteristics --
4.8.1 Random Number Generation --
4.8.2 Change of Mean and Variance --
4.8.3 Density Shaping --
References --
Exercises --
Appendices --
Appendix 4.1 Plots and formulas for five probability density functions --
Chapter 5 Introduction to random processes and signal properties --
5.1 Introduction --
5.
Responsibility: Richard Shiavi.

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