Signal processing of random physiological signals
This lecture book is intended to be an accessible and comprehensive introduction to random signal processing with an emphasis on the real-world applications of biosignals. Although the material has been written and developed primarily for advanced undergraduate biomedical engineering students, it wi...
| Main Author: | |
|---|---|
| Format: | Electronic |
| Language: | English |
| Published: |
San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) :
Morgan & Claypool Publishers,
c2006.
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| Edition: | 1st ed. |
| Series: | Synthesis lectures on biomedical engineering,
#1. |
| Subjects: | |
| Online Access: | Abstract with links to resource |
Table of Contents:
- Biomedical engineering signal analysis
- Introduction
- Generalized systems engineering approach
- System classification
- Order
- Causal vs noncausal
- Linear vs nonlinear
- Fixed vs time-varying
- Lumped parameter vs distributed parameter
- Continuous time vs discrete time
- Instantaneous vs dynamic
- Classification of signals
- How are signals classified
- Signal characterization (measurable parameters)
- Basis functions and signal representation
- Introduction to basis functions
- Desirable properties of basis functions
- Evaluation of coefficients
- Signal representations
- Data acquisition process
- Data collection
- Data recording/transmission
- Data preparation
- Random data qualification
- Random data analysis
- Sampling theory and analog-to-digital conversion
- Basic concepts
- Sampling theory
- Quantization
- Digital format
- Signal reconstruction
- Digital-to-analog conversion (DAC)
- Stationarity and ergodic random processes
- Ensemble method to test for stationarity
- Extension-in-time method
- Review of basic parametric statistics and moment-generating functions
- Nonparametric statistic and the runs test for stationarity
- Review of nonparametric statistics used for testing stationarity
- Correlation functions
- The correlation process
- Properties of the Autocorrelation Function
- Steps in the autocorrelation process
- Numerical correlation: direct calculation
- Cross-Correlation Function
- Convolution
- Convolution evaluation
- Numerical convolution
- Convolution algebra
- Digital filters
- Classification of filters
- Digital filters
- Fourier series: trigonometric
- Fourier analysis
- Evaluation of the Fourier coefficients
- Equivalent form of the Fourier trigonometric series
- Symmetrical properties as related to Fourier
- Coefficients
- Euler expansion
- Limitations
- Limiting process
- Inverse Fourier transform
- Summary of symmetry tables
- Fast Fourier transform
- Continuous Fourier transform
- Discrete Fourier transform
- Definition of Sampling Rate (or Sampling Frequency)
- Cooley-Tukey FFT (Decimimation in Time)
- The FFT "butterfly" signal flow diagram
- Decimation-in-frequency
- Truncation of the infinite fourier transform
- Practical applications
- Spectral analysis
- Spectral density estimation
- Cross-spectral analysis
- Properties of Sspectral density functions
- Factors affecting the spectral density function estimation
- Advanced topic
- Window functions and spectral leakage
- Generalities about windows
- Performance measures
- Window functions and weighting equations
- Transfer function via spectral analysis
- Methods
- Autocorrelation
- The cross-correlation function
- Spectral density functions
- The coherence function
- Coherence function from spectral analysis
- Description of the coherence function
- Misapplication of the coherence function
- Examples of the use of coherence functions
- Problems that limit the application of coherence
- Conclusion
- Error in random data estimate analysis (Information Is Paraphrased from Bendat & Piersol)
- Cross-spectral density function estimates.