Signals and Systems Analysis In Biomedical Engineering

Signals and Systems Analysis In Biomedical Engineering

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The interdisciplinary field of biomedical engineering requires its practitioners to master not only engineering skills, but also a diversity of material in the biological sciences. This text helps biomedical engineers strengthen their skills in the common network of applied mathematics that ties together these diverse disciplines. Based on the author's 30 years of experience in teaching as well as his personal research on neurosensory systems, Signals and Systems Analysis in Biomedical Engineering provides a ready source of information on those specialized mathematical techniques most useful in describing and analyzing biomedical signals, including ECG, EEG, blood pressure, biochemical spectrograms, and tomographic images. Enriched with many examples that promote sound practical analysis, this book:Presents the traditional systems mathematics used to characterize linear time-invariant (LTI) systems and, given inputs, find their outputsExplains the relations between impulse response, real convolution, transfer functions and frequency response functionsReviews specialized mathematical techniques used to characterize and model nonlinear systemsIntroduces the basic mathematical tools used to describe noise and how it propagates through LTI and NLTI systemsDescribes how signal-to-noise ratio can be improved by signal averaging and linear and nonlinear filteringshow more

Product details

  • Electronic book text
  • Taylor & Francis Inc
  • CRC Press Inc
  • United States
  • 0203011147
  • 9780203011140

Table of contents

INTRODUCTION TO BIOMEDICAL SIGNALS AND SYSTEMSGeneral Characteristics of Biomedical SignalsGeneral Properties of Physiological SystemsChapter SummaryREVIEW OF LINEAR SYSTEMS THEORYLinearity; Causality, StationarityAnalog SystemsSystems Described by Sets of ODEsLinear System CharacterizationDiscrete Systems and SignalsStability of SystemsChapter SummaryTHE LAPLACE TRANSFORM AND ITS APPLICATIONSIntroductionProperties of the Laplace TransformSome Examples of Finding Laplace TransformsThe Inverse Laplace TransformApplications of the Laplace TransformChapter SummaryFOURIER SERIES ANALYSIS OF PERIODIC SIGNALSIntroductionProperties of the Fourier SeriesFourier Series ExamplesChapter SummaryTHE CONTINUOUS FOURIER TRANSFORMIntroductionProperties of the CFTAnalog-to-Digital Conversion and the Sampling TheoremThe Analytical Signal and the Hilbert TransformThe Modulation Transfer Function in ImagingChapter SummaryTHE DISCRETE FOURIER TRANSFORMIntroductionThe CFT, ICFT, DFT and IDFTData Window FunctionsThe FFTChapter SummaryINTRODUCTION TO TIME-FREQUENCY ANALYSIS OF BIOMEDICAL SIGNALSIntroductionThe Short-term Fourier Transform (STFT)Gabor and Adaptive Gabor Transform Wigner-Ville & Pseudo-Wigner TransformsCohen's General Class of JTF DistributionsIntroduction to JTFA Using WaveletsApplications of JTF Analysis to Physiological SignalsJTFA SoftwareChapter Summary INTRODUCTION TO THE ANALYSIS OF STATIONARY NOISE AND SIGNALS CONTAMINATED WITH NOISEIntroductionNoise Descriptors and Noise in SystemsCalculation of Noise Descriptors with Finite Discrete DataSignal Averaging and Filtering for Signal-to-Noise Ratio ImprovementIntroduction to the Application of Statistics and Information Theory to Genomics Chapter SummaryBASIC MATHEMATICAL TOOLS USED IN THE CHARACTERIZATION OF PHYSIOLOGICAL SYSTEMSIntroductionSome General Properties of Physiological SystemsSome Properties of Nonlinear SystemsPhysical Factors Determining the Dynamic Behavior of Physiological SystemsMeans of Characterizing Physiological SystemsChapter SummaryINTRODUCTION TO THE MATHEMATICS OF TOMOGRAPHIC IMAGINGIntroductionAlgebraic ReconstructionThe Radon TransformThe Fourier Slice TheoremThe Filtered Back-Projection Algorithm (FBPA)Chapter SummaryAPPENDICESCramer's RuleSignal Flow Graphs and Mason's RuleBode (Frequency Response) PlotsComputational Tools for Biomedical Signal Processing and Systems AnalysisBIBLIOGRAPHY AND REFERENCESINDEXshow more