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postuloca:tomographic

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The figures in the following show the mass probability density of the localizzation error, when the radio tomography approach is used. This method is described in the paper Patwari & all; “See-Through Walls: Motion Traking Using Variance-Based Radio Tomography Networks”; IEEE Transaction On Mobile Computing, Vol. 10, Issue 5; May 2011.

Scenario C40

In the following table, the VRTI dist. Error is the locallization error misured by the only Maximum Variance Image estimation,instead, Kalman dist. Error is the locallization error misured supporting the VRTI algorithm by the Kalman filter. Noise and No-Noise are the localization errors measured changing the parameters to calculate the weights of the regularization matrix.

Scenario Parameters Anchor positions VRTI error dist. Noise/No-Noise . KALMAN error dist. Noise/No-Noise Metrics VRTI / KALMAN Notes and video
C 40 area: 6.4 X 4.5 [m]
anchors: 25
speed: 0.5[step/s]
channels: 1
origin: WnLab
c40_anchors.jpg c40_error_mdf.jpg c40_error_kalman_mdf.jpg RMSE: 1.60 [m] / 1.59 [m]
75th pc: 1.95 [m] / 1.93 [m]
90th pc: 2.67 [m] / 2.62 [m]
Error with noise model in [0.5, 1.75] m.
Error without Noise model in [0.4, 2] m.
No improvement from tracking.
video
c40_error_mdf_f1.jpgc40_error_kalman_mdf_f1.jpgRMSE: 2.55 [m] / 2.55 [m]
75th pc: 3.28 [m] / 3.27 [m]
90th pc: 3.78 [m] / 3.77 [m]

Scenario Pat_1

In the following table, the VRTI dist. Error is the locallization error misured by the only Maximum Variance Image estimation,instead, Kalman dist. Error is the locallization error misured supporting the VRTI algorithm by the Kalman filter. Noise and No-Noise are the localization errors measured changing the parameters to calculate the weights of the regularization matrix.

Scenario Parameters Anchor positions VRTI error dist. Noise/No-Noise . KALMAN error dist. Noise/No-Noise Metrics VRTI / KALMAN Notes and video
Pat_1 area: 8.4 X 6.5 [m]
anchors: 33
speed: 1[step/s]
channels: 5
origin: SPAN Lab.
pat_1_anchors.jpg pat_1_error_mdf.jpg pat_1_error_kalman_mdf.jpg RMSE: 0.62 [m] / 0.62 [m]
75th pc: 0.68 [m] / 0.67 [m]
90th pc: 1.04 [m] / 1.02 [m]
Error with noise model in [0.2, 0.6] m.
Error without noise model in [1.1, 1.5] m.
No improvement from tracking.
video
RMSE: 1.64 [m] / 1.62 [m]
75th pc: 1.81 [m] / 1.80 [m]
90th pc: 2.23 [m] / 2.23 [m]

Scenario Pat_2

In the following table, the VRTI dist. Error is the locallization error misured by the only Maximum Variance Image estimation,instead, Kalman dist. Error is the locallization error misured supporting the VRTI algorithm by the Kalman filter. Noise and No-Noise are the localization errors measured changing the parameters to calculate the weights of the regularization matrix.

Scenario Parameters Anchor positions Raw error dist. Tracking error dist. Metrics raw / trk Notes and video
Pat_2 area: 6.5×4.5[m]
anchors: 28
speed: 1[step/s]
channels: 1
origin: SPAN Lab.
pat_2_anchors.jpg pat_2_error_mdf.jpg pat_2_error_kalman_mdf.jpg RMSE: 1.26 [m]/ 1.26[m]
75th pc: 1.55 [m]/ 1.55 [m]
90th pc: 2.0 [m] / 1.97 [m]
Error with noise model in [0.35, 1.7]m.
Error without Noise model in [0.7, 1.7] m.
No improvement from tracking.
video
pat_2_error_mdf_f1.jpgpat_2_error_kalman_mdf_f1.jpgRMSE: 1.67 [m] / 1.66 [m]
75th pc: 1.85 [m] / 1.83 [m]
90th pc: 2.53[m] / 2.53 [m]

Scenario Runner

In the following table, the VRTI dist. Error is the locallization error misured by the only Maximum Variance Image estimation,instead, Kalman dist. Error is the locallization error misured supporting the VRTI algorithm by the Kalman filter. Noise and No-Noise are the localization errors measured changing the parameters to calculate the weights of the regularization matrix.

Scenario Parameters Anchor positions Raw error dist. Tracking error dist. Metrics raw / trk Notes and video
Runner area: 6.5×4.5[m]
anchors: 28
speed: 0.5[step/s]
channels: 1
origin: SPAN Lab.
pat_2_anchors.jpg RMSE: 3.056 [m]/ 3.051 [m]
75th pc: 4.24 [m]/ 4.23 [m]
90th pc: 5.60 [m] / 5.59 [m]
Error with noise model in [0.4, 1.8]m.
Error without Noise model in [1.2, 2] m.
No improvement from tracking.
video
RMSE: 3.52 [m] / 3.51 [m]
75th pc: 5.07 [m] / 5.09 [m]
90th pc: 5.78[m] / 5.78 [m]

In the following tables, the VRTI dist. Error is the locallization error misured by the only Maximum Variance Image estimation. The metrics parameters are evaluated in both two cases in presence and not of an AP WiFi. Precisely, in the column “Metrics” the first value refears to the measure with AP and the second one without AP.The same formatting is used for the column of videos. Note that in our measure the channels 17 and 24 were the “high quality channels”, instead the channels 14 and 21 were “low quality channels”.

Scenario c14_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 14
origin: WN Lab.
RMSE: 0.69 [m]/ 0.69 [m]
75th pc: 0.85 [m]/ 0.89 [m]
90th pc: 1 [m] / 2.1[m]
misure_c14_s20_diag.avi misure_c14_s20_diag_noap.avi
position 1speed 0[step/s]

|| |RMSE: 1.85 [m]/ 1.6 [m]
75th pc: 2.34 [m]/ 2 [m]
90th pc: 2.5 [m] / 0.94 [m] |misure_c14_s20_p1.avi misure_c14_s20_p1_noap.avi|

position 2speed 0[step/s]RMSE: 1.28 [m]/ 2 [m]
75th pc: 1.44[m]/ 3.28 [m]
90th pc: 2.15 [m] / 3.44 [m]
misure_c14_s20_p2.avi misure_c14_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 2.11 [m]/ 1.48 [m]
75th pc: 2.72 [m]/ 2.7[m]
90th pc: 2.79 [m] / 2.8 [m]
misure_c14_s20_p3.avi misure_c14_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 2.8 [m]/ 3.7 [m]
75th pc: 4.12 [m]/ 3.9 [m]
90th pc: 4.12 [m] / 4 [m]
misure_c14_s20_p4.avi misure_c14_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 3 [m]/ 2.8 [m]
75th pc: 3.5 [m]/ 3.4 [m]
90th pc: 3.8 [m] / 3.5 [m]
misure_c14_s20_p5.avi misure_c14_s20_p5_noap.avi
coil pathspeed 1/3[step/s] RMSE: [m]/ 1.6 [m]
75th pc: [m]/ 1.8 [m]
90th pc: [m] / 2.2 [m]
misure_c14_s20_savazzi_noap.avi

Scenario c17_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 17
origin: WN Lab.
RMSE: 0.74 [m]/ 0.92[m]
75th pc: 0.87 [m]/ 1 [m]
90th pc: 1 [m] / 1.17 [m]
misure_c17_s20_diag.avi misure_c17_s20_diag_noap.avi
position 1speed 0[step/s]RMSE: 1.8 [m]/ 1.9[m]
75th pc: 2 [m]/ 2.1 [m]
90th pc: 2.2 [m] / 2.3 [m]
misure_c17_s20_p1.avi misure_c17_s20_p1_noap.avi
position 2speed 0[step/s]RMSE: 1.7 [m]/ 1.2 [m]
75th pc: 2 [m]/ 1 [m]
90th pc: 2 [m] / 2 [m]
misure_c17_s20_p2.avi misure_c17_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 2.1 [m]/ 2.8[m]
75th pc: 2.5 [m]/ 2.5 [m]
90th pc: 2.6 [m] / 4.2 [m]
misure_c17_s20_p3.avi misure_c17_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 1.8 [m]/ 3.2 [m]
75th pc: 2.3 [m]/ 3.6 [m]
90th pc: 2.7 [m] / 4 [m]
misure_c17_s20_p4.avi misure_c17_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 2.1 [m]/ 3.5 [m]
75th pc: 2.5 [m]/ 3.8 [m]
90th pc: 2.9 [m] / 3.9 [m]
misure_c17_s20_p5.avi misure_c17_s20_p5_noap.avi
coil pathspeed 1/3[step/s]RMSE: 1.2[m]/ 1.6 [m]
75th pc: 1.1[m]/ 1.4 [m]
90th pc: 1.9 [m] / 2.6 [m]
misure_c17_s20_savazzi.avi misure_c17_s20_savazzi_noap.avi

Scenario c21_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 21
origin: WN Lab.
RMSE: 1.3 [m]/ 0.53 [m]
75th pc: 1.53 [m]/ 0.61 [m]
90th pc: 1.67 [m] / 0.67 [m]
misure_c21_s20_diag.avi misure_c21_s20_diag_noap.avi
position 1speed 0[step/s]RMSE: 2.1 [m]/ 2 [m]
75th pc: 2.3 [m]/ 2.4 [m]
90th pc: 2.4 [m] / 2.6 [m]
misure_c21_s20_p1.avi misure_c21_s20_p1_noap.avi
position 2speed 0[step/s]RMSE: 0.82 [m]/ 1.4[m]
75th pc: 1 [m]/ 1.4 [m]
90th pc: 1 [m] / 1.6 [m]
misure_c21_s20_p2.avi misure_c21_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 0.51 [m]/ 1.6 [m]
75th pc: 0.57 [m]/ 1.7 [m]
90th pc: 0.73 [m] / 1.8 [m]
misure_c21_s20_p3.avi misure_c21_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 3.5 [m]/ 3.3 [m]
75th pc: 4 [m]/ 3.6 [m]
90th pc: 4.1 [m] / 4.2 [m]
misure_c21_s20_p4.avi misure_c21_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 2.6 [m]/ 1.39 [m]
75th pc: 4.1 [m]/ 1.2 [m]
90th pc: 4.6 [m] / 1.4 [m]
misure_c21_s20_p5.avi misure_c21_s20_p5_noap.avi
coil pathspeed 1/3[step/s]RMSE: 1.5[m]/ 1.1 [m]
75th pc: 1.1[m]/ 1.3 [m]
90th pc: 3.5 [m] / 1.5 [m]
misure_c21_s20_savazzi.avi misure_c21_s20_savazzi_noap.avi

Scenario c24_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 24
origin: WN Lab.
RMSE: 1.22 [m]/ 0.65 [m]
75th pc: 1.34 [m]/ 0.85 [m]
90th pc: 1.62 [m] / 0.98 [m]
misure_c24_s20_diag_noap.avi
position 1speed 0[step/s]RMSE: 1.9 [m]/ 1.5 [m]
75th pc: 2.2 [m]/ 1.6 [m]
90th pc: 2.3 [m] / 1.9 [m]
misure_c24_s20_p1.avi misure_c24_s20_p1_noap.avi
position 2speed 0[step/s]RMSE: 1.1 [m]/ 1.4 [m]
75th pc: 1 [m]/ 1.6 [m]
90th pc: 1.2 [m] / 2.1 [m]
misure_c24_s20_p2.avi misure_c24_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 2.7 [m]/ 1.7 [m]
75th pc: 3.3 [m]/ 2.7 [m]
90th pc: 3.3 [m] / 2.7 [m]
misure_c24_s20_p3.avi misure_c24_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 2.5 [m]/ 1.7 [m]
75th pc: 2.4 [m]/ 2.5 [m]
90th pc: 4 [m] / 2.7 [m]
misure_c24_s20_p4.avi misure_c24_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 3.3 [m]/ 1.5 [m]
75th pc: 3.4 [m]/ 3.5 [m]
90th pc: 3.5 [m] / 3.2 [m]
misure_c24_s20_p5.avi misure_c24_s20_p5_noap.avi
coil pathspeed 1/3[step/s]RMSE: 1.2[m]/ 1.9 [m]
75th pc: 1[m]/ 1.4 [m]
90th pc: 2[m] / 3.2 [m]
misure_c24_s20_savazzi.avi misure_c24_s20_savazzi_noap.avi

Scenario m17-25_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 17,25
origin: WN Lab.
RMSE: 0.53 [m]/ 0.56 [m]
75th pc: 0.65 [m]/ 0.72 [m]
90th pc: 0.79 [m] / 0.86 [m]
misure_m17-25_s20_diag.avi misure_m17-25_s20_diag_noap.avi
position 1speed 0[step/s]RMSE: 2 [m]/ 1.7 [m]
75th pc: 2.1 [m]/ 1.8 [m]
90th pc: 2.2 [m] / 2.1 [m]
misure_m17-25_s20_p1.avi misure_m17-25_s20_p1_noap.avi
position 2speed 0[step/s]RMSE: 1.3 [m]/ 1.2 [m]
75th pc: 1.4 [m]/ 1.3 [m]
90th pc: 2 [m] / 1.3 [m]
misure_m17-25_s20_p2.avi misure_m17-25_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 2.1 [m]/ 2.4 [m]
75th pc: 2.8 [m]/ 2.5 [m]
90th pc: 3.6 [m] / 2.7 [m]
misure_m17-25_s20_p3.avi misure_m17-25_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 2.3 [m]/ 3.2 [m]
75th pc: 2.8 [m]/ 3.8 [m]
90th pc: 2.9 [m] / 3.9 [m]
misure_m17-25_s20_p4.avi misure_m17-25_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 3.4 [m]/ 2.7 [m]
75th pc: 3.7 [m]/ 3.7 [m]
90th pc: 3.8 [m] / 3.8 [m]
misure_m17-25_s20_p5.avi misure_m17-25_s20_p5_noap.avi
coil pathspeed 1/3[step/s]RMSE: 1.4[m]/ 0.7 [m]
75th pc: 1.6[m]/ 0.9 [m]
90th pc: 2.2 [m] / 1 [m]
misure_m17-25_s20_savazzi.avi misure_m17-25_s20_savazzi_noap.avi

Scenario m12-14-20-24_s20

Scenario Parameters Anchor positions AP Int. No AP Int. Metrics Notes and video
oblique path area: 3.6×4.8[m]
anchors: 20
speed: 1[step/s]
channels: 12,16,20,24
origin: WN Lab.
RMSE: 0.67 [m]/0.44 [m]
75th pc: 0.8 [m]/ 0.53[m]
90th pc: 0.98/0.61 [m]
misure_m12-16-20-24_s20_diag.avi misure_m12-16-20-24_s20_diag_noap.avi
position 1speed 0[step/s]RMSE: 1.9 [m]/1.2 [m]
75th pc: 2.3 [m]/ 1.6[m]
90th pc: 2.3/1.8 [m]
misure_m12-16-20-24_s20_p1.avi misure_m12-16-20-24_s20_p1_noap.avi
position 2speed 0[step/s]RMSE: 0.95 [m]/1.4 [m]
75th pc: 1.2 [m]/ 1.8[m]
90th pc: 1.2/2[m]
misure_m12-16-20-24_s20_p2.avi misure_m12-16-20-24_s20_p2_noap.avi
position 3speed 0[step/s]RMSE: 2.1 [m]/2.1 [m]
75th pc: 2.8 [m]/ 2.8[m]
90th pc: 3.6/2.8 [m]
misure_m12-16-20-24_s20_p3.avi misure_m12-16-20-24_s20_p3_noap.avi
position 4speed 0[step/s]RMSE: 3 [m]/0.2.2 [m]
75th pc: 3.5 [m]/ 2.6[m]
90th pc: 3.8/2.8 [m]
misure_m12-16-20-24_s20_p4.avi misure_m12-16-20-24_s20_p4_noap.avi
position 5speed 0[step/s]RMSE: 3.2 [m]/1.6 [m]
75th pc: 4.4 [m]/ 1.4[m]
90th pc: 4.4/1.9 [m]
misure_m12-16-20-24_s20_p5.avi misure_m12-16-20-24_s20_p5_noap.avi
coil pathspeed 1/3[step/s]RMSE: 0.6[m]/ 0.8 [m]
75th pc: 0.7[m]/ 0.9 [m]
90th pc: 0.9 [m] / 1.2 [m]
misure_m12-16-20-24_s20_savazzi.avi misure_m12-16-20-24_s20_savazzi_noap.avi

The following three figures show the RMSE, the 75-th and 90-th Percentile's resilience toward the noise that affects the cannel, respectivelly. Moreover, the figures show as the multi-channels improve the algorithm's performance rather than in the case of single-channel.

In brief, the three figures show the comparison about the localization performance in term of number of channels used to acquire the data, link quality and scenario taken into account.

RMSE 75° Percentile 90° Percentile
Channel ZigBee S/N (dBm)
12 -180
14 -160
16 -140
17 -100
20 -160
21 -140
24 -60
25 -60
postuloca/tomographic.1374222420.txt.gz · Last modified: 2013-07-19 08:27 by pot

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