Detection and elimination of signal errors due to unintentional movements in biomedical magnetic induction tomography spectroscopy (MITS)
and
Dec 31, 2018
About this article
Published Online: Dec 31, 2018
Page range: 163 - 175
Received: Dec 16, 2018
DOI: https://doi.org/10.2478/joeb-2018-0021
Keywords
© 2018 S. Issa, H. Scharfetter published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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![Geometry of the transmitter (TX) and the receiver (RX) forming the transceiver. Left: front view, right: top view. All dimensions are given in [mm].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64721f58215d2f6c89dbca62/j_joeb-2018-0021_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250912%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250912T005904Z&X-Amz-Expires=3600&X-Amz-Signature=35f5ac9a8071d0899899b8085254e43f173a1b7639f93a8765f4b749b0b3c273&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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![Experimental setup and geometry of the coil system. Top: top view, bottom: long-side view; TRX: transceiver. For the sake of clarity, the lower TX2 was made transparent and its 3D view was deactivated. The red marker in the figure is either an active or a passive one, depending on the experiment. The dotted, curved blue arrow symbolizes an unwanted (rotational) movement of the measured medium. All dimensions are given in [mm].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64721f58215d2f6c89dbca62/j_joeb-2018-0021_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250912%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250912T005904Z&X-Amz-Expires=3600&X-Amz-Signature=77fb4fa88b492882322b96d64cc9e44a25ea5cb653f1b1f78a5e2c78dc59b341&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Fig. 7
![Acquired real and imaginary frames of the total received signal before and after medium rotation in the error detection measurements. A: with an active marker at 500 kHz, B: with a passive marker at 500 kHz, C: with an active marker at 200 kHz, D: with a passive marker at 200 kHz. Green curve: imaginary signal showing the signal error Im(Δverror) to be eliminated; red curve: real signal showing the detection signal Re(Δverror) to be used to detect Im(Δverror). Note the differently scaled y-axes of the graphs. The first invisible 15 frames (1 - 15) were used for phase calibration purposes [13] and are therefore not shown.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64721f58215d2f6c89dbca62/j_joeb-2018-0021_fig_007.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250912%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250912T005904Z&X-Amz-Expires=3600&X-Amz-Signature=6dd1934c1eda262d3b53d4175285ba366e5646c9080dffcfd6ac2406d8af2b89&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Fig. 9

Some quantitative data on the corrected signals Im(Δvcorr) relevant to the corrected images Im(Δσcorr) in figure (8)_
Image | f [kHz] | Im(Δvcorr) [V] | Im(N) [V] | SNR [dB] |
---|---|---|---|---|
A | 500 | -14.11 x 10-6 | 6.15 x 10-9 | 67.21 |
C | 200 | -3.34 x 10-6 | 5.55 x 10-9 | 55.59 |
B | 500 | -14.15 x 10-6 | 6.21 x 10-9 | 67.15 |
D | 200 | -3.32 x 10-6 | 7.06 x 10-9 | 53.45 |
Some quantitative data on the true signals Im(Δvtrue) relevant to the true images Im(Δσtrue) in figure (9)_
Image | f [kHz] | Im(Δvtrue) [V] | Im(N) [V] | SNR [dB] |
---|---|---|---|---|
A | 500 | -14.21 x 10-6 | 6.65 x 10-9 | 66.60 |
B | 200 | -3.30 x 10-6 | 4.71 x 10-9 | 56.91 |
Accuracy of the corrected signals Im(Δvcorr) with respect to the true signals Im(Δvtrue)_ Im(Δvcorr) and Im(Δvtrue) are taken from tables (5, 7), respectively, where in case of Im(Δvcorr) there are two values per frequency because the original error detection measurements were conducted with an active and a passive marker at each frequency_
f [kHz] | Im(Δvtrue) [V] | Im(Δvcorr) [V] | δ% |
---|---|---|---|
500 | -14.21 x 10-6 | -14.11 x 10-6 | 0.70 |
-14.15 x 10-6 | 0.42 | ||
200 | -3.30 x 10-6 | -3.34 x 10-6 | 1.21 |
-3.32 x 10-6 | 0.61 |
Some quantitative data on the corrected images Im(Δσcorr) in figure (8)_
Image | f [kHz] | Im(Δσcorr) [S/m] | Im(Nbg) [S/m] | CNR |
---|---|---|---|---|
A | 500 | -2.313 | 4.351 x 10-2 | 53.16 |
C | 200 | -0.535 | 1.183 x 10-2 | 45.22 |
B | 500 | -2.319 | 4.289 x 10-2 | 54.07 |
D | 200 | -0.532 | 1.233 x 10-2 | 43.15 |
Some quantitative data on the detection signals Re(Δverror) in figure (7)_
Marker | Graph | f [kHz] | Re(Δverror) [V] | Re(N) [V] | SNR [dB] |
---|---|---|---|---|---|
Active | A | 500 | 18.18 x 10-6 | 4.42 x 10-9 | 72.28 |
C | 200 | 4.75 x 10-6 | 5.90 x 10-9 | 58.12 | |
Passive | B | 500 | -12.38 x 10-6 | 6.20 x 10-9 | 66.01 |
D | 200 | -7.15 x 10-6 | 4.71 x 10-9 | 63.63 |
Some quantitative data on the signal errors Im(Δverorr) in figure (7)_
Marker | Image | f [kHz] | Im(Δverror) [V] | Im(N) [V] | SNR [dB] |
---|---|---|---|---|---|
Active | A | 500 | -8.56 x 10-6 | 3.75 x 10-9 | 67.17 |
C | 200 | -1.96 x 10-6 | 5.01 x 10-9 | 51.85 | |
Passive | B | 500 | -8.55 x 10-6 | 3.58 x 10-9 | 67.56 |
D | 200 | -1.96 x 10-6 | 5.33 x 10-9 | 51.31 |
Some quantitative data on the true images Im(Δσtrue) in figure (9)_
Image | f [kHz] | Im(Δσtrue) [S/m] | Im(Nbg) [S/m] | CNR |
---|---|---|---|---|
A | 500 | -2.329 | 4.327 x 10-2 | 53.82 |
B | 200 | -0.531 | 1.205 x 10-2 | 44.07 |
Some quantitative data on the erroneous signals Im(Δverr) relevant to the erroneous images Im(Δσerr) in figure (6)_
Marker | Image | f [kHz] | Im(Δverr) [V] | Im(N) [V] | SNR [dB] |
---|---|---|---|---|---|
Active | A | 500 | -10.09 x 10-6 | 4.94 x 10-9 | 66.20 |
C | 200 | -2.27 x 10-6 | 5.28 x 10-9 | 52.67 | |
Passive | B | 500 | -10.11 x 10-6 | 4.91 x 10-9 | 66.27 |
D | 200 | -2.27 x 10-6 | 6.19 x 10-9 | 51.29 |
Some quantitative data on the erroneous images Im(Δσerr) in figure (6)_
Marker | Image | f [kHz] | Im(Δσerr) [S/m] | Im(Nbg) [S/m] | CNR |
---|---|---|---|---|---|
Active | A | 500 | -1.661 | 2.856 x 10-2 | 58.16 |
C | 200 | -0.363 | 0.815 x 10-2 | 44.54 | |
Passive | B | 500 | -1.663 | 2.824 x 10-2 | 58.89 |
D | 200 | -0.363 | 0.802 x 10-2 | 45.26 |