Introduction to Biomedical Signals and Systems General Characteristics of Biomedical Signals General Properties of PSs Review of Linear Systems Theory Linearity, Causality, and Stationarity Analog Systems Systems Described by Sets of ODEs Linear System Characterization Discrete Signals and Systems Stability of Systems The Laplace Transform and Its Applications Introduction Properties of the Laplace Transform Some Examples of Finding Laplace Transforms The Inverse Laplace Transform Applications of the Laplace Transform Fourier Series Analysis of Periodic Signals Introduction Properties of the FS FS Examples The Continuous Fourier Transform Introduction Properties of the CFT ADC and the Sampling Theorem The Analytical Signal and the HT MTF in Imaging The Discrete Fourier Transform Introduction The CFT, ICFT, DFT, and IDFT Data Window Functions The FFT Introduction to Joint TimeFrequency Analysis of Biomedical Signals Introduction The Short-Term Fourier Transform The Gabor and Adaptive Gabor Transforms The WignerVille and PseudoWigner Transforms Cohen''s General Class of JTF Distributions Introduction to JTFA Using Wavelets Applications of JTFA to Physiological Signals JTFA Software Introduction to the Analysis of Stationary Noise, and Signals Contaminated with Noise Introduction Noise Descriptors and Noise in Systems Calculation of Noise Descriptors with Finite Discrete Data Signal Averaging and Filtering for SNR Improvement Introduction to the Application of Statistics and IT to Genomics Basic Mathematical Tools Used in the Characterization of Physiological Systems Introduction Some General Properties of PSs Some Properties of Nonlinear Systems Physical Factors Determining the Dynamic Behavior of PSs Means of Characterizing PSs Introduction to the Mathematics of Tomographic Imaging Introduction Algebraic Reconstruction The Radon Transform The Fourier Slice Theorem Filtered BackProjection Algorithm Introduction to the Analysis of Nonlinear Biochemical Systems and Biochemical Oscillators Introduction: Some General Properties of Nonlinear Systems All Living Systems Are Nonlinear Parametric Regulation in Nonlinear Biological Systems Approaches to Nonlinear Analysis: the Phase Plane Chaos, Stability, and Limit Cycles in Nonlinear Biological Systems Introduction to Complex Systems in Biology and Medicine Introduction to Complex Systems When Is a System Complex? Some Examples Properties of Complex Systems: Chaos and Tipping Points The Law of Unintended Consequences Why Study Complex Systems? Human Responses to Complexity Complex Systems Engineering Some Complex Physiological Regulatory Systems Structure and Function: Some Examples of Complex Physiological Regulatory Systems and Their Simplified Models Examples of When Complex Physiological Systems Fail Some Approaches to Dealing with Complexity in an Organized Manner Glossary Appendix A Appendix B Appendix C Appendix D Index Introduction Properties of the CFT ADC and the Sampling Theorem The Analytical Signal and the HT MTF in Imaging The Discrete Fourier Transform Introduction The CFT, ICFT, DFT, and IDFT Data Window Functions The FFT Introduction to Joint TimeFrequency Analysis of Biomedical Signals Introduction The Short-Term Fourier Transform The Gabor and Adaptive Gabor Transforms The WignerVille and PseudoWigner Transforms Cohen''s General Class of JTF Distributions Introduction to JTFA Using Wavelets Applications of JTFA to Physiological Signals JTFA Software Introduction to the Analysis of Stationary Noise, and Signals Contaminated with Noise Introduction Noise Descriptors and Noise in Systems Calculation of Noise Descriptors with Finite Discrete Data Signal Averaging and Filtering for SNR Improvement Introduction to the Application of Statistics and IT to Genomics Basic Mathematical Tools Used in the Characterization of Physiological Systems Introduction Some General Properties of PSs Some Properties of Nonlinear Systems Physical Factors Determining the Dynamic Behavior of PSs Means of Characterizing PSs Introduction to the Mathematics of Tomographic Imaging Introduction Algebraic Reconstruction The Radon Transform The Fourier Slice Theorem Filtered BackProjection Algorithm Introduction to the Analysis of Nonlinear Biochemical Systems and Biochemical Oscillators Introduction: Some General Properties of Nonlinear Systems All Living Systems Are Nonlinear Parametric Regulation in Nonlinear Biological Systems Approaches to Nonlinear Analysis: the Phase Plane Chaos, Stability, and Limit Cycles in Nonlinear Biological Systems Introduction to Complex Systems in Biology and Medicine Introduction to Complex Systems When Is a System Complex? Some Examples Properties of Complex Systems: Chaos and Tipping Points The Law of Unintended Consequences Why Study Complex Systems? Human Responses to Complexity Complex Systems Engineering Some Complex Physiological Regulatory Systems Structure and Function: Some Examples of Complex Physiological Regulatory Systems and Their Simplified Models Examples of When Complex Physiological Systems Fail Some Approaches to Dealing with Complexity in an Organized Manner Glossary Appendix A Appendix B Appendix C Appendix D Index oise Descriptors with Finite Discrete Data Signal Averaging and Filtering for SNR Improvement Introduction to the Application of Statistics and IT to Genomics Basic Mathematical Tools Used in the Characterization of Physiological Systems Introduction Some General Properties of PSs Some Properties of Nonlinear Systems Physical Factors Determining the Dynamic Behavior of PSs Means of Characterizing PSs Introduction to the Mathematics of Tomographic Imaging Introduction Algebraic Reconstruction The Radon Transform The Fourier Slice Theorem Filtered BackProjection Algorithm Introduction to the Analysis of Nonlinear Biochemical Systems and Biochemical Oscillators Introduction: Some General Properties of Nonlinear Systems All Living Systems Are Nonlinear Parametric Regulation in Nonlinear Biological Systems Approaches to Nonlinear Analysis: the Phase Plane Chaos, Stability, and Limit Cycles in Nonlinear Biological Systems Introduction to Complex Systems in Biology and Medicine Introduction to Complex Systems When Is a System Complex? Some Examples Properties of Complex Systems: Chaos and Tipping Points The Law of Unintended Consequences Why Study Complex Systems? Human Responses to Complexity Complex Systems Engineering Some Complex Physiological Regulatory Systems Structure and Function: Some Examples of Complex Physiological Regulatory Systems and Their Simplified Models Examples of When Complex Physiological Systems Fail Some Approaches to Dealing with Complexity in an Organized Manner Glossary Appendix A Appendix B Appendix C Appendix D Index amp;lt;BR>Parametric Regulation in Nonlinear Biological Systems Approaches to Nonlinear Analysis: the Phase Plane Chaos, Stability, and Limit Cycles in Nonlinear Biological Systems Introduction to Complex Systems in Biology and Medicine Introduction to Complex Systems When Is a System Complex? Some Examples Properties of Complex Systems: Chaos and Tipping Points The Law of Unintended Consequences Why Study Complex Systems? Human Responses to Complexity Complex Systems Engineering Some Complex Physiological Regulatory Systems Structure and Function: Some Examples of Complex Physiological Regulatory Systems and Their Simplified Models Examples of When Complex Physiological Systems Fail Some Approaches to Dealing with Complexity in an Organized Manner Glossary Appendix A Appendix B Appendix C Appendix D Index p;lt;BR>Appendix C Appendix D Index.
Signals and Systems Analysis in Biomedical Engineering