????: Acquisition and analysis of biomedical signals

1
????

• ???? ????????????
• ???? Acquisition and analysis of biomedical
  signals
• ?? 3
• ?? 54
• Theory (36hrs) Lab work (18Hrs)
• ???? ???
• ???

2
What Why?

• ?????????
• ??????????????????????????????????????.
• ????????????
• ??????????????, ???????????, ????????????????,??,?
  ?,??,??,?????.
• ??
• ?????????????????,.
• ???????????????.

3
??????

• ??????????????,??
• ??????????,
• ???????????????,
• ?????????????,
• ?????????(DSP),
• ??MatLab????,
• ????,?????DSP??.
• ?DSP??????????.

4
????

• Signals systems
• Basic electronics
• Digital signal processing (DSP)
• MatLab (tool)

5
??????(1) (S S)

• ?????????,???,???,???,???????,1994?2?
• ??????????(?),???,???????,1996?8?
• ?????????,???,???,???,???????,1998?10?
• ?????????, ???, ???, ?????????, 1998?1?

6
??????(2)(DSP)

• ????????,???,???????????,2001?9?, recommended
• ???????????, ???, ???????, 1996?9?
• ????????, ???,???????,1995?8?
• ??????-??????????,???????,2001?10?
• ????????, ???, ???, ???????, 1989?5?
• ????????????, ???, ???, ??????????, 1997?12?
• Biomedical Signal Processing and Signal Modeling,
  Eugene N. Bruce, JOHN WILEY SONS, INC.,2001

7
??????(3) Tools

• ?????MATLAB, ????, ???????????,1997?8?
• ??MATLAB???????, D Hanselman and B Littlefield,
  ?????????(Prentice Hall), 1998?1?
• ??MATLAB 6,D. Hanselman B. Littlefield,
  ???????,2002?6?
• ????????MATLAB??, VK Ingle and JG Proakis ,
  ???????, 1998?9?
• MATLAB 6.x ????,??,???,???,???????, 2002?5?

8
????

• ??? ??????????
• ??? ???????????
• ??? ????????
• ??? ??????
• ??? ????????????
• optional, depending on the time

9
??? ??

• ??
• ??
• ????
• ????????????
• ??????????

10
??? ???????????

• ??? (Transducer)
• ????(Signal Conditioning)
• ????, A/D ???????????
• ???????,
• ???????? Powerlab or Biopac
• ????????, 64 or 128 channels, single A/D or
  multiple A/Ds
• LabVIEW

11
??? ????????

• ????
• ????
• ????
• ????
• ?????
• ????
• ??????? (????)

12
??? ??????

• ???????
• ??????????????
• ???????????
• QRS??, T???, QT????, HRV,
• ??????ECG??
• ??????ST???,
• ????(HRV),
• QT???,
• T???(TWA).

13
??? ????????????

• ???????????
• ??????????
• FDM, FEM, BEM
• ??, ?FDM??????????

14
Comparison with other universities

• Biomedical Signal Processing and Analysisin
  University of Pittsburgh. bioeng2510outline.htm
• Biomedical signal processing 2
• Biomedical signal processing 3
• Biomedical signal processing 4
• Biomedical signal processing 5

15
??? ??

• Signals and systems

16
????(signals)

• ?? ?????????????,??????,
• ???????,?????????????????,
• ??????????????????????, ??????????.
• ???????? (types of signals),
• ?????????,
• ?????????????,
• ??????????.

17
????????? (Deterministic vs. stochastic )

• ???? ??????????????, xf(t),???????,??????????
• ???? ???????????????, ????????????????????????,?
  ?????????

18
??
???
???
????
???
???
??
????
?????
19
?????????????continuous-time signal,
discrete-time signal

• ??????
• ??????????????, x(t)
• ??????(??)
• ???????????????, x(nT),??????,????????,???x(n),
• ????????,?(A/D)??,??????,

20
?????????
21
?????????(1)

• ?????x(t)????1?????????????????,??????tltT??????
  ??
• ???????

22
?????????(2)

• ???? ?????E??,
• ? ?????????, ??????,
• ???? ????????,????????
• ? ????????????, ??????,
• ??????????????????,

23
???????

• ???????????,?????????????,
• ????????????,

24
?????

• ??????????????(amplitude frequency),
• ?????????????????,?????,x(t),
• ?????????????, ????????????????, F(O)?

25
???? (typical signals)

• ???? ?????????????? x(t)(sint/t) (its
  waveform?), ???????(t)
• ??????????????????(n)???????u(n),

u(n)
?(n)
26
????Sa(t)

• Its expression
• Its features

27
??????

• Its features are

• Its waveform?

28
?????????

• ????????

29
?????

• ???f(t)???t1,t2?????????????????????,f(t)???????
  ??????
• ????????????????????????,??????????????
• ????
• ???,????????,??2pi/T,
• ???????,
• ???????,T??,????,????,

30
Fourier series

• For a periodical function f(t) with period T,

31
An example

• ??????E,?????t???????,????T,???????

32
??????????

• ??????, T?inf, ???Fn, ?????????F(jO)-??????????
• ???????,?????Fn??,
• T? inf, Fn? 0
• Fn/ O????

33
??????Fourier??

• ??????, ?????????F(jO), ????( Fourier
  transformation )??????????
• ???FT?????????????????( )

34
??????????

• ????,
• ??????,
• ????,f(t)E

35
??????

• ?????t,???1?????,???????

36
????????

• ??,
• ???
• ???
• ????
• ????
• ??????
• ??????

37
??

• ??????
• ???
• ???

38
???

• ???????????,R(?)?w?????,X(?)??????
• ??,F(?)??????,F(?)????w????

39
???
40
????

• ??????????(??),??????????????(??)??????

41
????

• ??????????t0,?????????????????????t0, ?????????

42
????

• ???????????
• ????????ejw0t ,??????????????0

43
???????

• ??????????????,?????
• ?????????????,?????????,????????????????

44
????

• ????
• ????????????????????????Fourier??????
• ??????

45
?????Fourier?????

• ???????
• ???????????,???,
• ????????????,???,

46
Fourier ? Laplace Transformation

• ????????????,?
  
• ??t?inf, ???????,
• ??????,?????,?????????????????

47
?????Laplace??
48
????????

• ????,????????????s?????????????
• ???????????

49
Laplace?????

• ??
• ????
• ????
• ?????
• ??????
• ??????
• ????
• s??????

50
?????z?? (z transformation)

• ??????x(n)?Z???????z????, ze(?j?)rej?

51
Homework

• ?????????????
• ?????Sa(t)??????