ee 5340, smu electrical engineering department, © 1999 1 carlos e. davila, electrical engineering...
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EE 5340, SMU Electrical Engineering Department, © 1999
1
Carlos E. Davila, Electrical Engineering Dept.Southern Methodist University
slides can be viewed at: http:// www.seas.smu.edu/~cd/ee5340.html
EE 5340/7340 Introduction to Biomedical Engineering
Electromagnetic Flowprobes
EE 5340, SMU Electrical Engineering Department, © 1999
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Electromagnetic Flowmeters
B
u
L
Vo
+
_
V u B dLo
L
0
1
electromagnet
bloodvessel
indicator dilution methods assume flow rate is constant, only measure average flow. EM flowmeters enable measurement of instantaneous flow.
EE 5340, SMU Electrical Engineering Department, © 1999
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Faraday’s Law
V u B dLo
L
0
1
Vo: voltage induced across electrodesvelocity of blood (m/s)magnetic flux density (Wb/m2)vector in direction of electrodeslength of
u:B:
-a moving conductor in a (possibly constant) magnetic field will have a voltage induced across it
L:
LL1:
response is maximized when , , and are mutuallyorthogonal
u
B
L
EE 5340, SMU Electrical Engineering Department, © 1999
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Toroidal Cuff Probe
B
EE 5340, SMU Electrical Engineering Department, © 1999
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DC Flowmeter
use DC (constant) magnetic field half-cell potential results across each sensing electrode, in
series with the flow signal, even with non-polarizable potentials
pick up stray ECG basically doesn’t work well, and DC flowmeters are not
used. flow frequency range: 0 - 30 Hz
EE 5340, SMU Electrical Engineering Department, © 1999
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AC Flowmeter
frequency of : about 400 Hz Vo becomes amplitude modulated sine wave:
B
400 Hzcarrier
0 flow
need a phase-sensitive demodulator
EE 5340, SMU Electrical Engineering Department, © 1999
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Transformer VoltageB
u
L
Vt+ _
bloodvessel
plane of electrode wires should be parallel to magneticfield. Otherwise, get transformer voltage, Vt, proportionalto: dB
dt
EE 5340, SMU Electrical Engineering Department, © 1999
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Transformer Voltage (cont.)
t
t
t
magnet current, im(t)
transformervoltage, vt(t)
flowvoltage, vf(t)
90o outof phase
0 or 180o out of phase,depending onflow direction
EE 5340, SMU Electrical Engineering Department, © 1999
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Removal of Transformer Voltage
Phantom Electrode Gating Flow Voltage Quadrature Suppression
EE 5340, SMU Electrical Engineering Department, © 1999
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Phantom Electrode
u
Vt+ _
bloodvessel
adjust until transformervoltage = 0
EE 5340, SMU Electrical Engineering Department, © 1999
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Gating Flow Voltage
t
t
tflowvoltage, vf(t)
magnet current, im(t)
transformervoltage, vt(t)
sample flow voltage when transformer voltage = 0
EE 5340, SMU Electrical Engineering Department, © 1999
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Quadrature Suppression
Discussed in Chapter 8 of text. To understand it fully, wemust go over several modulation/demodulation methods:
Amplitude Modulation/Demodulation Double Sideband Modulation /Demodulation Quadrature Multiplexing/Demultiplexing
EE 5340, SMU Electrical Engineering Department, © 1999
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Amplitude Modulation/Demodulation
m t
A
A tc ccos
x tc
Modulation:
Demodulation (envelope detector):
C R x tc m t+
_
+
_
m t : information-bearing signalc: carrier frequency
EE 5340, SMU Electrical Engineering Department, © 1999
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Double Sideband (DSB) Modulation/Demodulation
m t
A tc ccos
x tc
modulation:
demodulation:
m t
2cos ct
x tc LPF x tb
m(t) can be bipolar
carrier frequency and phase must be known
c: carrier frequency
this demodulator isphase sensitive
EE 5340, SMU Electrical Engineering Department, © 1999
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DSB Modulation/Demodulation (cont.)
x t m t tb c2 2cos
cos cos2 12
1 2
x t m t t
m t m t tb c
c
1 2
2
cos
cos
trigonometric identity:
LPF m t
EE 5340, SMU Electrical Engineering Department, © 1999
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DSB Modulation/Demodulation (cont.)
Frequency Domain:
X jc
c
m t
from frequency shifting property of the Fourier Transform:
c
b b
M j
M j0
0 5 0. A M jc USB
LSB
0
b c
EE 5340, SMU Electrical Engineering Department, © 1999
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DSB Modulation/Demodulation (cont.) X jb
2c 2c
0 5 0. A M jc
0
A M jc 0
H j
0
LPF 1/ Ac=
M j
EE 5340, SMU Electrical Engineering Department, © 1999
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Quadrature DSB (QDSB) Modulation
-allows one to transmit two different information signals, m1(t) and m2(t) using the same carrier frequency, this enables more efficient bandwidth utilization.
m t1
cos ct
x tc
m t2
sin ct
EE 5340, SMU Electrical Engineering Department, © 1999
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QDSB Demodulation
m t1
2cos ct
x tc
m t2
2sin ct
LPF y t1
y t2LPF
EE 5340, SMU Electrical Engineering Department, © 1999
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QDSB Demodulation (cont.)
Trigonometric Identities:
cos cos2 12
1 2u u
sin cos2 12
1 2u u
cos sin sinu u u12
2
cos cos cos cosu v u v u v 12
sin cos sin sinu v u v u v 12
EE 5340, SMU Electrical Engineering Department, © 1999
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QDSB Demodulation (cont.)
x t m t t m t tc c c 1 2cos sin
y t t x t
m t t m t t t
m t t m t t
c c
c c c
c c
1
12
2
1 2
2
2 2
1 2 2
cos
cos cos sin
cos sin
LPF m t1
y t t x t
m t t m t t t
m t t m t t
c c
c c c
c c
2
22
1
2 1
2
2 2
1 2 2
sin
sin cos sin
cos sin
LPF m t2
EE 5340, SMU Electrical Engineering Department, © 1999
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Quadrature Suppression
-used to suppress transformer voltage
vessel amp LPF
oscillator
magnetcurrent
generator90o phase
shift
LPF
v tf
2cos ct
2sin ct
x tc
vt
EE 5340, SMU Electrical Engineering Department, © 1999
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Electromagnetic Flowprobe: Case Study- Cliniflow II, Carolina Medical
SPECIFICATIONS ACCURACY
Electrical Zero --- Automatic zero for occlusive or non-occlusive zero reference.
Calibrate Signal --- -1V to +1V in 0.1V steps @ 0.2 sec/step.
Flowmeter Calibration Accuracy --- +/-3% of full scale after a 5 second warm-up.
(Includes the effect of gain and excitation variation.)
DC Drift --- +/-5mV after a 5 second warm-up.
Linearity --- +/-1% maximum full scale.
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.)
SAFETY
Patient Isolation --- Isolated patient ground. <10uA RMS leakage @ 120V RMS. Breakdown >2500V RMS.
Equipment Isolation --- External connections to recorders, etc, are optically isolated to preserve patient protection even when connected to external equipment.
Electrical Isolation --- Designed to comply with UL544 specifications. No exposed, non-isolated metal surfaces available to the operator or patient.
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.)
INPUT CHARACTERISTICS
Autoranging --- Overall gain, full scale recorder output amplitude, flow rate range indicator and decimal point location are automatically programmed by the selected probe.
Probe Excitation --- 450 or 475Hz square-wave, 0.5 Ampere +/-l%.
Amplifier Input --- Differential >30 megohm plus 50pF. CMRR >/- or =80dB @ 60Hz. Defibrillator protected.
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.)
OUTPUT CHARACTERISTICS
Flow Range --- 5 milliliters/min to 19.99 liters/min depending on probe selected.
Gain --- Automatically preset by the probe used.
Flow Indicator --- 3.5 digit red L.E.D. display, automatic calibration, automatic flow direction indicator.
Outputs PULSATILE: Single ended, +/-lOV (20Vp-p) full scale. MEAN: single ended, +/-1.999V (4Vp-p) full scale. BOTH: capable of driving 1 kohm minimum load. Short circuit protected. Isolated from power or chassis ground.
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.)
Frequency Response --- Front panel selectable, 3dB down @ 12Hz, 25Hz, 50Hz or 100Hz.
Output Noise PULSATILE: 11OmV typical @ 100Hz response, 30mV typical @ 12Hz response. (Varies with the probe used and the frequency response setting.) MEAN: 5mV maximum.
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.)
courtesy of Carolina Medical
examples of electromagnetic flowprobes
EE 5340, SMU Electrical Engineering Department, © 1999
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Case Study (cont.): example of EM flowmeter
courtesy of Carolina Medical