View
40
Download
2
Category
Preview:
DESCRIPTION
Medical Instrumentation. REPORT #3 2012103843 원지혜. Dynamic Characteristics. Y (t). X(t). +….+ + y = +….+ +. ( 입력 ). ( 출력 ). Laplace Transform. Laplace Transform. Differential equation. Algebraic equation. Inverse Laplace Transform. Response in S domain. Response in time domain. - PowerPoint PPT Presentation
Citation preview
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
1 원지혜
Medical Instrumentation
REPORT #3 2012103843
원지혜
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
2 원지혜
Dynamic Characteristics
X(t) Y(t)
+….++y =+….++
( 입력 )
( 출력 )
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
3 원지혜
Laplace Transform
Differential equation Algebraic equation
Response in time domain Response in S domain
Laplace Transform
Inverse Laplace Trans-form
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
4 원지혜
Laplace Transform
L{u(t)} = L{u(t)} = L{(t)} =1
u(t) u(t) (t)
L{x(t)} = X(s)=
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
5 원지혜
Transfer Function
cf)L{} = L{x(t)} =
H(S)==(H(S): Transfer Function)
※ y(t) 를 구하는 방법
Y(S) = H(S)*X(S)Y(t)={Y(S)} ={H(S)*X(S)}
R
CV s
10V ac+Vc(t)-
t
𝑉 𝐴u( t)
(t)={(S)}=[1-]*u(t)
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
6 원지혜
0 차 기기
y(t) = Kx(t)
=KEt
10
K
입력
출력KR
(1-K)R
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
7 원지혜
1 차기기
+y = x
예)
t
1
올라가는 데에 시간이 걸림 (0 차기기에 비해 )
R
C
0
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
8 원지혜
1 차기기
H(jw) =
|H(jw)| = magnitude re-sponse∠H(jw) = phase response
0.7071
-45
-90
주파수가 낮을 때는진폭도 일정하고 위상차이도 거의 없음 .
주파수가 높아지면 진폭이 작아지고 위상차도 최대 90도까지 발생한다 .
log|H|
log∠H(jw)
w
w
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
9 원지혜
무왜곡측정 (Distortionless Measurement)
X(t)=x1(t)+x2(t)
Y(t)=y1(t)+y2(t)=x1(t-)+x2(t-)( 시간 delay)
H
x1(t)
x2(t)
X(t)
y1(t)
y2(t)
Y(t)1
1
2
A
A
2A
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
10 원지혜
예 ) 진폭 특성에 의한 왜곡
y(t) = Ax1(t-)+2Ax2(t-)
3A
-A
A
2A
-2A
y(t)
Ax1(t-) 2Ax2(t-)
t t t𝑡 0 3 𝑡 0 𝑡 0 𝑡 02 𝑡0 2 𝑡0
Magnitude Distortion
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
11 원지혜
예 ) 위상특성에 의한 왜곡
2AA A
𝑡 0𝑡 0 3 𝑡 0
3 𝑡 0 3 𝑡 02 𝑡0
y(t) = Ax1(t-)+Ax2(t-)
y(t)
tt
t
Ax1(t-) Ax2(t-)
Phase Distortion
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
12 원지혜
For Distortionless Measurement
y(t) = kx(t-)Y(S) = kX(S)H(S)= kH(jw) = k
w
w
|H(jw)| ∠H(jw) ∠H(jw)= -w
기울기 = -
왜곡이 발생하지 않음
같은 크기로 증가시키고 , 같은 위상 차를 주어야왜곡이 발생하지 않음
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
13 원지혜
Biopotential( 생체전위 )
Sensor Muscle
dendrite( 수상돌기 ) axon terminal( 축색 종말 )
(axon)
Ex)①rode, cone②hair cell
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
14 원지혜
Resting Membrane Potential(RMP: 안정막전위 )
Na-K 펌프
<Krebs Cycle in Mitochondria>
Glucose + O2 CO2 + H2O + ATP
농도 차를 거슬러 가야 하기 때문에 ATP 필요 ( 미토콘드리아에서 만듦 )
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
15 원지혜
RMP 의 측정
Cell neuron
t=t1
t
Vo
t1
-60mV
Na+ Cl-
V=0 (Na 와 Cl 이균일하게 들어있으므로 )
V
①
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
16 원지혜
세포막의 형태
Na+ Cl-(Na 와 Cl 이 균일하게 들어있으므로 )
V
①
Na+Cl-
V
Na+Cl-
Na+Cl-
V
Na+Cl-
②
③
Na+Cl-
V
Na+Cl-
④
insulating membrane
permeable membrane
semi permeable membrane
V=0
V=0V=0
V0
세포막은반투과성막
Dept. of Biomed. Eng. BME302: Medical Instrumentation Kyung Hee Univ.
17 원지혜
RMP 의 형성
+--
+ +
+
+
+ --
---
-
semi permeable membrane
※ Na+ 에만 투과성을 갖는 막이라고 가정
확산 (diffusion) vs 전기력 (coulomb force)( 오른쪽 + 가 왼쪽 ( 왼쪽 + 가 오른쪽으로 으로 가려는 힘 ) 가려는 힘 )
확산하려는 힘이 더 큼+𝑉 𝑅𝑀𝑃-
Resting membrane potential( 안정막 전위 )
RMP( 안정막 전위 ) 의 형성
Recommended