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Fully updated and with exclusive new content, this second edition presents a coherent treatment of various signal processing methods and applications. The book not only covers the current techniques of biomedical signal processing, but it also offers guidance on which methods are appropriate for a given task and different types of data.



Covering the latest cutting-edge techniques in biomedical signal processing while presenting a coherent treatment of various signal processing methods and applications, this second edition of Practical Biomedical Signal Analysis Using MATLAB® also offers practical guidance on which procedures are appropriate for a given task and different types of data.

It begins by describing signal analysis techniques—including the newest and most advanced methods in the field —in an easy and accessible way, illustrating them with Live Script demos. MATLAB® routines are listed when available, and freely available software is discussed where appropriate. The book concludes by exploring the applications of the methods to a broad range of biomedical signals while highlighting common problems encountered in practice.

These chapters have been updated throughout and include new sections on multiple channels analysis and connectivity measures, phase-amplitude analysis, functional Near Infrared Spectroscopy, fMRI (BOLD) signals, wearable devices, multimodal signal analysis and the Brain Computer Interface.

By providing a unified overview of the field, this book explains how to integrate signal processing techniques in biomedical applications properly and explores how to avoid misinterpretations and pitfalls. It helps readers to choose the appropriate method as well as design their own methods. It will be an excellent guide for graduate students studying biomedical engineering and practicing researchers in the field of biomedical signal analysis.

Features:

  • Fully updated throughout with new achievements, technologies, and methods and is supported with over 40 original Matlab Live Scripts illustrating the discussed techniques, suitable for self-learning or as a supplement to college courses
  • Provides a practical comparison of the advantages and disadvantages of different approaches in the context of various applications
    • Applies the methods to a variety of signals, including electric, magnetic, acoustic and optical
  • K. J. Blinowska

    is a Professor emeritus at the University of Warsaw, Poland, where she was director of Graduate Studies in Biomedical Physics and head of the Department of Biomedical Physics. Currently, she is employed at the Institute of Biocybernetics and Biomedical Engineering of the Polish Academy of Sciences. She has been at the forefront in developing new advanced time-series methods for research and clinical applications.

    J. Zygierewicz

    is a Professor at the University of Warsaw, Poland. His research focuses on developing methods for analyzing EEG and MEG signals, brain-computer interfaces, applications of machine learning in signal processing and classification.

    About the Series xi
    Preface xiii
    List of Abbreviations
    xv
    1 A Short Introduction to MATLAB®
    1(10)
    1.1 Introduction
    1(1)
    1.2 Where Is Help?
    1(1)
    1.3 Vectors and Matrixes
    1(1)
    1.4 Matrix Operations
    2(3)
    1.4.1 Algebraic Operations
    2(1)
    1.4.2 Matrix Indexing
    3(1)
    1.4.3 Logical Indexing
    4(1)
    1.4.4 Example Exercise
    5(1)
    1.5 Conditionals
    5(1)
    1.6 Loops
    6(1)
    1.7 Scripts and Functions
    6(1)
    1.8 Working with Binary Files
    7(4)
    1.8.1 Saving to and Loading from Binary Files
    7(2)
    1.8.2 Saving and Loading Signals Using mat Files
    9(1)
    1.8.3 Exercises
    9(1)
    1.8.3.1 Unknown Data Type
    9(1)
    1.8.3.2 Unknown Number of Channels
    10(1)
    2 Introductory Concepts
    11(24)
    2.1 Stochastic and Deterministic Signals, Concepts of Stationarity and Ergodicity
    11(3)
    2.2 Discrete Signals
    14(4)
    2.2.1 The Sampling Theorem
    14(1)
    2.2.1.1 Aliasing
    15(2)
    2.2.2 Quantization Error
    17(1)
    2.3 Linear Time Invariant Systems
    18(3)
    2.4 Duality of Time and Frequency Domains
    21(7)
    2.4.1 Continuous Periodic Signal
    22(1)
    2.4.2 Infinite Continuous Signal
    22(1)
    2.4.3 Finite Discrete Signal
    23(1)
    2.4.4 Basic Properties of Fourier Transform
    23(1)
    2.4.5 Power Spectrum: The Plancherel Theorem and Parse-val's Theorem
    24(1)
    2.4.6 Z-Transform
    25(1)
    2.4.7 Uncertainty Principle
    26(2)
    2.5 Hypotheses Testing
    28(5)
    2.5.1 The Null and Alternative Hypothesis
    28(1)
    2.5.2 Types of Tests
    28(1)
    2.5.3 Multiple Comparisons Problem
    29(2)
    2.5.3.1 Correcting the Significance Level
    31(1)
    2.5.3.2 Parametric and Non-Parametric Statistical Maps
    31(1)
    2.5.3.3 False Discovery Rate
    32(1)
    2.6 Surrogate Data Techniques
    33(2)
    3 Single Channel (Univariate) Signal
    35(68)
    3.1 Filters
    35(8)
    3.1.1 Designing Filters
    37(4)
    3.1.2 Changing the Sampling Frequency
    41(1)
    3.1.3 Matched Filters
    42(1)
    3.1.4 Wiener Filter
    42(1)
    3.2 Probabilistic Models
    43(5)
    3.2.1 Hidden Markov Model
    43(2)
    3.2.2 Kalman Filters
    45(3)
    3.3 Stationary Signals
    48(16)
    3.3.1 Analytic Tools in the Time Domain
    48(1)
    3.3.1.1 Mean Value, Amplitude Distributions
    48(1)
    3.3.1.2 Entropy and Information Measure
    48(1)
    3.3.1.3 Autocorrelation Function
    49(1)
    3.3.2 Analytic Tools in the Frequency Domain
    50(1)
    3.3.2.1 Estimators of Spectral Power Density Based on Fourier Transform
    50(1)
    3.3.2.2 Choice of Windowing Function
    51(5)
    3.3.2.3 Parametric Models: AR, ARMA
    56(8)
    3.4 Non-Stationary Signals
    64(29)
    3.4.1 Instantaneous Amplitude and Instantaneous Frequency
    64(2)
    3.4.2 Analytic Tools in the Time-Frequency Domain
    66(1)
    3.4.2.1 Time-Frequency Energy Distributions
    66(3)
    3.4.2.2 Time-Frequency Signal Decompositions
    69(17)
    3.4.3 Cross-Frequency Coupling
    86(1)
    3.4.3.1 Models of Phase-Amplitude Coupling
    87(1)
    3.4.3.2 Evaluation of Phase-Amplitude Coupling
    88(5)
    3.5 Non-Linear Methods of Signal Analysis
    93(10)
    3.5.1 Lyapunov Exponent
    95(1)
    3.5.2 Correlation Dimension
    95(2)
    3.5.3 Detrended Fluctuation Analysis
    97(1)
    3.5.4 Recurrence Plots
    98(1)
    3.5.5 Poincare Map
    99(1)
    3.5.6 Approximate, Sample, and Multiscale Entropy
    99(2)
    3.5.7 Limitations of Non-Linear Methods
    101(2)
    4 Multiple Channels (Multivariate) Signals
    103(34)
    4.1 Cross-Estimators: Cross-Correlation, Cross-Spectra, Coherence
    103(3)
    4.2 Multivariate Autoregressive Model (MVAR)
    106(2)
    4.2.1 Formulation of MVAR Model
    106(2)
    4.2.2 MVAR in the Frequency Domain
    108(1)
    4.3 Measures of Directedness
    108(10)
    4.3.1 Estimators Based on the Phase Difference
    108(1)
    4.3.2 Causality Measures
    109(1)
    4.3.2.1 Granger Causality
    109(1)
    4.3.2.2 Granger Causality Index and Granger-Geweke Causality
    110(1)
    4.3.2.3 Directed Transfer Function
    111(4)
    4.3.2.4 Partial Directed Coherence
    115(1)
    4.3.2.5 Directed Coherence
    116(2)
    4.4 Non-Linear Estimators of Dependencies between Signals
    118(7)
    4.4.1 Kullback-Leibler Entropy, Mutual Information
    118(1)
    4.4.2 Transfer Entropy
    119(2)
    4.4.3 Generalized Synchronization and Synchronization Likelihood
    121(1)
    4.4.4 Phase Synchronization (Phase Locking Value)
    122(1)
    4.4.5 Testing the Reliability of the Estimators of Directedness
    123(2)
    4.5 Comparison of the Multichannel Estimators of Coupling between Time Series
    125(4)
    4.5.1 Bivariate versus Multivariate Connectivity Estimators
    125(2)
    4.5.2 Linear versus Non-Linear Estimators of Connectivity
    127(1)
    4.5.3 The Measures of Directedness
    128(1)
    4.6 Multivariate Signal Decompositions
    129(8)
    4.6.1 Principal Component Analysis (PCA)
    129(1)
    4.6.1.1 Definition
    129(1)
    4.6.1.2 Computation
    129(1)
    4.6.1.3 Possible Applications
    130(1)
    4.6.2 Independent Components Analysis (ICA)
    130(1)
    4.6.2.1 Definition
    130(1)
    4.6.2.2 Estimation of ICA
    131(1)
    4.6.2.3 Computation
    132(1)
    4.6.2.4 Possible Applications
    132(1)
    4.6.3 Common Spatial Patterns
    133(1)
    4.6.4 Multivariate Matching Pursuit (MMP)
    134(3)
    5 Application to Biomedical Signals
    137(152)
    5.1 Brain Signals
    137(94)
    5.1.1 Generation of Brain Signals
    139(1)
    5.1.2 EEG/MEG Rhythms
    140(3)
    5.1.3 EEG Measurement, Electrode Systems
    143(2)
    5.1.4 MEG Measurement, Sensor Systems
    145(1)
    5.1.5 Elimination of Artifacts
    145(4)
    5.1.6 Analysis of Continuous EEG Signals
    149(1)
    5.1.6.1 Single Channel Analysis
    150(1)
    5.1.6.2 Mapping
    151(1)
    5.1.6.3 Connectivity Analysis of Brain Signals
    152(4)
    5.1.6.4 Influence of Volume Conduction on Connectivity Measures
    156(1)
    5.1.6.5 Graph Theoretical Analysis
    157(3)
    5.1.6.6 Sleep EEG Analysis
    160(9)
    5.1.6.7 Analysis of EEG in Epilepsy
    169(9)
    5.1.6.8 EEG in Monitoring and Anesthesia
    178(1)
    5.1.7 Analysis of Epoched EEG Signals
    179(3)
    5.1.7.1 Analysis of Phase-Locked Responses
    182(7)
    5.1.7.2 In Pursuit of Single Trial Evoked Responses
    189(5)
    5.1.7.3 Applications of Cross-Frequency Coupling
    194(2)
    5.1.7.4 Analysis of Non-Phase-Locked Responses
    196(19)
    5.1.7.5 Analysis of EEG for Applications in Brain-Computer Interfaces
    215(3)
    5.1.8 fMRI Derived Time Series
    218(3)
    5.1.8.1 Relation between EEG and fMRI
    221(4)
    5.1.9 Near-Infrared Spectroscopy Signals
    225(6)
    5.2 Heart Signals
    231(30)
    5.2.1 Electrocardiogram
    231(1)
    5.2.1.1 Measurement Standards
    231(1)
    5.2.1.2 Physiological Background and Clinical Applications
    232(3)
    5.2.1.3 Processing of ECG
    235(6)
    5.2.2 Heart Rate Variability
    241(1)
    5.2.2.1 Time-Domain Methods of HRV Analysis
    242(1)
    5.2.2.2 Frequency-Domain Methods of HRV Analysis
    243(1)
    5.2.2.3 Non-Linear Methods of HRV Analysis
    244(7)
    5.2.3 Fetal ECG
    251(2)
    5.2.4 Magnetocardiogram and Fetal Magnetocardiogram
    253(1)
    5.2.4.1 Magnetocardiogram
    253(4)
    5.2.4.2 Fetal MCG
    257(1)
    5.2.5 Ballistocardiogram, Seismocardiogram, Photoplethys-mogram
    258(1)
    5.2.5.1 Wearable Devices
    259(2)
    5.3 Electromyogram
    261(17)
    5.3.1 Measurement Techniques and Physiological Background
    261(4)
    5.3.2 Quantification of EMG Features
    265(1)
    5.3.3 Decomposition of Needle EMG
    266(3)
    5.3.4 Surface EMG
    269(1)
    5.3.4.1 Surface EMG Decomposition
    270(8)
    5.4 Acoustic Signals
    278(8)
    5.4.1 Phonocardiogram
    278(3)
    5.4.2 Otoacoustic Emissions
    281(5)
    5.5 Multimodal Analysis of Biomedical Signals
    286(3)
    Bibliography 289(60)
    Index 349
    K. J. Blinowskais a Professor emeritus at the University of Warsaw, Poland, where she was director of Graduate Studies in Biomedical Physics and head of the Department of Biomedical Physics. Currently, she is employed at the Institute of Biocybernetics and Biomedical Engineering of the Polish Academy of Sciences. She has been at the forefront in developing new advanced time-series methods for research and clinical applications.









    J. ygierewiczis a Professor at the University of Warsaw, Poland. His research focuses on developing methods for analyzing EEG and MEG signals, brain-computer interfaces, applications of machine learning in signal processing and classification.