Title: Biomedical Signal processing Chapter 1 Introduction
1Biomedical Signal processingChapter 1
Introduction
- ???Zhongguo Liu
- Biomedical Engineering
- School of Control Science and Engineering,
Shandong University
2015-3-17
1
Zhongguo Liu_Biomedical Engineering_Shandong Univ.
2Self Introduction
???liuzhg_at_sdu.edu.cn cellphone18764171197
Tel84192
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p.html
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3Chapter 1 Introduction
- Signal processing is benefited from a close
coupling between theory, application, and
technologies for implementing signal processing
systems. - Signal processing deals with the representation,
transformation, and manipulation of signals and
the information they contain.
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4Continuous and Digital Signal Processing
- Prior to 1960 continuous-time analog signal
processing. - Digital signal processing is caused by
- the evolution of digital computers and
microprocessors - Important theoretical developments such as the
Fast Fourier Transform algorithm (FFT)
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5Digital and Discrete-time Signal Processing
- In digital signal processing
- Signals are represented by sequences of
finite-precision numbers - Processing is implemented using digital
computation - Digital signal processing is a special case of
discrete-time signal processing
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6Digital and Discrete-time Signal Processing
- Continuous-time signal processing time and
signal are continuous - Discrete-time signal processing
- time is discrete, signal is continuous
- Digital signal processing
- time and signal are discrete
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7Discrete-time Processing
- Discrete-time processing of continuous-time signal
ideal continuous-to-discrete-time (C/D) converter
ideal discrete-to-continuous-time (D/C) converter
- Real-time operation is often desirable output is
computed at the same rate at which the input is
sampled
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8Objects of Signal Processing
- Process one signal to obtain another signal
- Signal interpretation Characterization of the
input signal.
Example speech recognition
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9Objects of Signal Processing
- Symbolic manipulation of signal processing
expression signal and systems are represented
and manipulated as abstract data objects, without
explicitly evaluating the data sequence.
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10Chapter 1 Introduction
- Applications of signal processing entertainment,
communications, space exploration, medicine,
archaeology, etc. - Role of signal processing is expanding, driven by
convergence of computers, communications and
signal processing.
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11Processing of biomedical signals
12Processing of biomedical signals
- Processing of biomedical signals is application
of signal processing methods on biomedical
signals - ?All possible processing algorithms may be used
- ?Biomedical signal processing requires
understanding the needs (e.g. biomedical
processes and clinical requirements) and
selecting and applying suitable methods to meet
these needs
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15Example heart rate meters
Signal processing
Sensor
User
16Example IST Vivago WristCare
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18Health monitoring
Systolic and diastolic blood pressure
Beat-to-beat heart rate
- Need for processing to
- draw any conclusions
19Why do We Learn DSP
- Software, such as Matlab, has many tools for
signal processing. - It seems that it is not necessary to know the
details of these algorithms, such as FFT. - A good understanding of the concepts of
algorithms and principles is essential for
intelligent use of the signal processing software
tools.
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20Extension
- Multidimensional signal processing
- image processing
- Spectral Analysis
- Signal modeling
- Adaptive signal processing
- Specialized filter design
- Specialized algorithm for evaluation of Fourier
transform - Specialized filter structure
- Multirate signal processing
- Wavlet transform
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21Historical Perspective
- 17th century
- The invention of calculus
- Scientist developed models of physical phenomena
in terms of functions of continuous variable and
differential equations - Numerical technique is used to solve these
equations - Newton used finite-difference methods which are
special cases of some discrete-time systems
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22Historical Perspective
- 18th century
- Mathematicians developed methods for numerical
integration and interpolation of continuous
functions - 19th century
- Gauss (1805)discovered the fundamental principle
of the Fast Fourier Transform (FFT) even before
the publication(1822) of Fourier's treatise on
harmonic series representation of function
(proposed in 1807)
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23Historical Perspective
- Early 1950s
- signal processing was done with analog system,
implemented with electronics circuits or
mechanical devices. first uses of digital
computers in digital signal processing was in oil
prospecting. - Simulate signal processing system on a digital
computer before implementing it in analog
hardware, ex. vocoder
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24Historical Perspective
- With flexibility the digital computer was used to
approximate, or simulate, an analog signal
processing system - The digital signal processing could not be done
in real time - Speed, cost, and size are three of the important
factors in favor of the use of analog components. - Some digital flexible algorithm had no
counterpart in analog signal processing,
impractical. all-digital implementation tempting
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25Historical Perspective
- FFT discovered by Cooley and Tukey in 1965
- an efficient algorithm for computation of Fourier
transforms, which reduce the computing time by
orders of magnitude. - FFT might be implemented in special-purpose
digital hardware - Many impractical signal processing algorithms
became to be practical
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26Historical Perspective
- FFT is an inherently discrete-time concept. FFT
stimulated a reformulation of many signal
processing concepts and algorithms in terms of
discrete-time mathematics, which formed an exact
set of relationships in the discrete-time domain,
so there emerged a field of discrete-time signal
processing.
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27Historical Perspective
- The invention and proliferation of the
microprocessor paved the way for low-cost
implementations of discrete-time signal
processing systems - The mid-1980s, IC technology permitted the
implementation of very fast fixed-point and
floating-point microcomputer. - The architectures of these microprocessor are
specially designed for implementing discrete-time
signal processing algorithm, named as Digital
Signal Processors(DSP).
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28Goals of the course
- To understand what biomedical signals are
what problems and needs are related to their
acquisition and processing - what kind of methods are available and get an
idea of how they are applied and to which kind of
problems - To get to know basic digital signal processing
and analysis techniques commonly applied to
biomedical signals and to know which kind of
problems each method is suited for (and for which
not)
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