Signals and Systems Analysis In Biomedical Engineering: 2nd Edition (Hardback) book cover

Signals and Systems Analysis In Biomedical Engineering

2nd Edition

By Robert B. Northrop

CRC Press

654 pages | 215 B/W Illus.

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Hardback: 9781439812518
pub: 2010-03-26
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The first edition of this text, based on the author’s 30 years of teaching and research on neurosensory systems, helped biomedical engineering students and professionals strengthen their skills in the common network of applied mathematics that ties together the diverse disciplines that comprise this field. Updated and revised to include new material as the field has grown, Signals and Systems Analysis in Biomedical Engineering, Second Edition continues to provide a ready source of information on those specialized mathematical techniques most useful in describing and analyzing biomedical signals.

New chapters on nonlinear and complex systems

Enriched with many examples that promote sound practical analysis, this volume covers classical linear systems theory and its applications to biomedicine. It examines the important use of joint time-frequency analysis to characterize non-stationary physiological signals, and explores the mathematics of tomographic imaging (the Radon transform, the Fourier slice theorem, and the filtered back-projection algorithm). It also describes the analytical signal and the Hilbert transform and some of its biomedical applications. New chapters in this edition include one on the analysis of nonlinear biochemical systems and biochemical oscillators, as well as one introducing complex systems and illustrating ways to best model them.

Four appendices with additional material

Extensive appendices supplement the text, including "Simnon® Programs Used in Chapters 11 and 12," "How to use Root Locus to Determine the Stability of SISO Linear Systems," "Signal Flow Graphs and Mason’s Rule," and "Computational Tools for Biomedical Signal Processing and Systems Analysis." An extensive glossary is included as well as an ample listing of sources for further study.

A solutions manual is available for instructors wishing to convert this refrence to classroom use.

Table of Contents

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


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


Properties of the FS

FS Examples

The Continuous Fourier Transform


Properties of the CFT

ADC and the Sampling Theorem

The Analytical Signal and the HT

MTF in Imaging

The Discrete Fourier Transform



Data Window Functions


Introduction to Joint TimeFrequency Analysis of Biomedical Signals


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


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


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


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


Appendix A

Appendix B

Appendix C

Appendix D


About the Author

Robert B. Northrop graduated with a bachelor’s degree in electrical engineering from the Massachusetts Institute of Technology in 1956. At the University of Connecticut (UCONN), he received a master’s degree in systems engineering in 1958. As the result of a long-standing interest in physiology, he entered a PhD program at UCONN in physiology, doing research on the neuromuscular physiology of molluskan catch muscles. He received his PhD in 1964. His current research interest lies in complex systems. Dr. Northrop was on the electrical and computer engineering faculty at UCONN until his retirement in June 1997. Throughout this time, he was director of the BME graduate program. As emeritus professor, he still teaches courses in BME, writes texts, sails, and travels. He lives in Chaplin, CT, with his wife, and a smooth fox terrier.

About the Series

Biomedical Engineering

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Subject Categories

BISAC Subject Codes/Headings:
MEDICAL / Biotechnology