An EM Modeling for Rescue System Design of Buried People

The development of a rescue system for buried persons is a subject of growing importance in case of occurrence of natural disasters such as earthquake, landslides, or avalanches. In this paper a fully analytical model has been developed to get some fundamental a priori design characteristics.The proposed system is based on the detection of the victimmovements due to its respiratory activity: in particular, when an electromagnetic (EM) wave impinges on a human body, the analysis of the reflected wave parameters such as amplitude, frequency, phase, or delay time allows for the detection of the breathing frequency. The model is simple on purpose because the great uncertainty concerning the characterization of many environmental parameters of a general situation makes a very detailed model useless. However, it is accurate enough to provide useful information about system design, filling the gap in the literature concerning the electromagnetic formulation of such kinds of problems. A system prototype was built using laboratory equipment to experimentally validate the model, and subsequently breathing frequency measurements were carried on, both in a lossless laboratory environment and in a lossy realistic scenario.


Introduction
Noncontact detection of vital signs is gaining a growing importance for its applications in many practical contests [1,2], and in particular this work describes an electromagnetic system for the detection of buried human subjects by sensing their breathing activity.The working principle is based on probing the environment with electromagnetic waves and processing the echo signals: change of amplitude and phase of the reflected waves due to the fact that the respiratory activity allows for localizing the victim under debris or landslide.
Radio frequency (RF) systems for the detection of physiological activities can be grouped into two main families, Doppler radars and UWB systems.
Historically, Doppler systems for the detection of vital signs were first proposed.The idea consists in revealing thorax movements to obtain the respiratory frequency using radar techniques in the microwave region [3][4][5][6].
Most of the researches are related to the signal processing of the electromagnetic signal reflected by the human body and several techniques to enhance the extraction of vital signs were described and implemented [7,8].More recent papers are essentially addressed to overcome existing difficulties concerning the applications to realistic environments, introducing effective processing strategies [9,10], whereas other works deal with practical aspects related to the electronic device fabrication [11][12][13].
A different choice was offered by the capability of UWB radar pulses to pass through obstacles, due to their high resolution, low energy consumption, and immunity against multipath interference: these features were also exploited to extract human vital signs in complex environments [14][15][16], including space scenarios [17,18].Specific UWB radar systems [19][20][21][22] were designed for the rescue of victims trapped in rubble.
In this paper a new approach based on an electromagnetic point of view is proposed.In fact, in spite of many examples of RF systems for breathing and heart beat detection reported in the literature, the lack of an electromagnetic model, to describe the backscattering of a victim embedded in the surrounding environment, stands out.The aim of the paper is to show that even a simple electromagnetic model is capable of providing useful information to address the system design, as operating conditions, the choice of the most suitable frequencies, and the sensitiveness.
In particular an analytical model for the scattering problem of a human body buried into a homogenous lossy medium will be presented.The approach is simplified, because a full wave solution of the electromagnetic problem does not seem to be necessary for our purposes and it would require a super computer to account for a detailed scenario.Moreover, a realistic environment is characterized by a great uncertainty related to geometrical and material parameters, so a more accurate modelling does not provide more accurate results.It must be remarked that we are mainly interested in the variations of the electromagnetic field due to the thorax respiratory movements rather than in the complete electromagnetic backscattering of the human body.However, this scenario is a good approximation of the situation of a man buried by a landslide or avalanche.
The model has been validated and the results compared with measurements both in a controlled environment and in a realistic scenario, as a road construction site.

Electromagnetic Model
The model is based on the evaluation of the current density induced by an electromagnetic wave impinging the human body.The knowledge of the body current allows for the computation of the backscattered signal.
For convenience the human body is replaced by a phantom with simplified human features (Figure 1).The different parts of the body are very close to each other but not electrically connected.The validity of these assumptions was demonstrated comparing the model prediction and the result of full wave numerical simulation [23].In fact the current distribution inside all the parts of the human body is minimally affected by the electrical connections between two parts of the body, because in the operating frequency range the wavelength inside the human body is much smaller than the dimensions of the parts of the body.From a practical point of view this geometrical approximation allows us to treat each part separately providing a closed form solution for the electromagnetic problem.
The geometry of the problem and the reference system are shown in Figure 1.An aperture antenna of dimensions ( × ) radiates an electromagnetic field in a homogeneous medium 1, having electric characteristics ( 1 ,  1 ).The wave impinges on a human body composed by   = 6 homogeneous parallelepipeds, medium #2, whose electric characteristics are ( 2 ,  2 ).The grey part of the thorax is supposed to vary its thickness ( dimension) of Δ±5 mm around its rest position to simulate a volume of 1 liter of air flowing during each respiratory act.
The electric field distribution   →  ap on the aperture of the antenna is assumed to be uniform and polarized in the direction.
A good approximation [23] for the current density distribution  →  eq to describe the thorax illumination due to an electromagnetic wave having the electric field  inc ŷ and propagating along the ẑ direction is 1 being the coordinate of the front surface of the th body part,  the transmission coefficient at the interface between medium 1 and medium 2, approximated as an indefinite interface, and  is the penetration depth of the field in medium 2.
The backscattered field can be easily calculated from the current density distribution  →  eq : where  is the wavenumber, using the far field approximation where ⃗   is the position vector of a point of the infinitesimal element of the integration volume and ⃗  is the position vector of the observation point.
In (3)  () 1 ,  () 1 ,  () 1 and  () 2 ,  () 2 ,  () 2 are the Cartesian coordinates that define the th body element and   is the distance between the center of the th body element and the antenna.It is worth mentioning that the choice of the geometry and the electromagnetic model was due to the possibility of achieving closed form expressions, nevertheless retaining a sufficient accuracy for the purpose of the paper.
The reflection coefficient  11 measured at the antenna input port is the sought physical quantity because its time variations reveal the occurrence of a respiratory act of a buried subject.
Assuming the impedance matching between the generator and the transmission line, the reflection coefficient  11 can be written as [24] where  rec is the received voltage at the antenna connector,  − is the voltage reflected by the antenna and due to mismatching,  + is the voltage incident at the antenna input port, ⃗  eff and Γ ant are the effective length and the reflection coefficient of the antenna, respectively,   and   are the generator voltage and impedance, and  0 is the characteristic impedance of the line connecting generator and antenna.

Model Validation
The aim of this section is to compare the levels of the backscattered signal measured and predicted using the analytical model.The intensity of the received signal as a function of the distance between the subject and the antenna provides a constraint in terms of system sensitivity.
The experimental setup consists of a double ridge horn antenna connected to a Vectorial Network Analyzer (VNA) located at a distance  = 3 m from the obstacle.The half power beamwidth of the actual antenna was used to set the aperture dimensions of the antenna used in the simulation.A Personal Computer (PC) acquired the VNA samples of the reflection coefficient and stored data for an offline processing.The obstacle, representing a human thorax, was a 400 mm × 400 mm × 50 mm Plexiglas box filled with salt water and placed at a distance of 2.5 meter from the antenna.To simulate the movement related with breathing activity the box position was changed of 1 cm in five steps of 2.5 mm.
The VNA performed a frequency sweep from 1 to 9 GHz, because this is the maximum available range in our lab setup.The actual antenna impedance was measured at all the frequencies, and these values were used in the analytical model to determine the simulated reflection coefficient through (4).
In Figure 2 the comparison between the amplitude of the measured and the modeled  11 is reported; in this case the comparison is made only at the distance of 2.5 meter because the amplitude variation of the reflected signal while shifting the obstacle of 1 cm is very small and all curves appear overlapped at a visual inspection.It can be observed that the model satisfactorily predicts the order of magnitude and the frequency dependence of the amplitude of the backscattered signal; random oscillations in the measured response are due to the multiple reflections of the environment and are not accounted by the model.
As regards the validation of the maximum phase variation prediction, the measurement procedure was carried out shifting the Plexiglas box of 1 cm (from 2.50 m to 2.51 m) in order to simulate the movement related with breathing activity.Figure 3 shows the comparison between the measured and the calculated values for the maximum variation of the  11 phase due to the target displacement.Comparing the two curves it is possible to point out an appreciable agreement between the prediction of the model and the measured results.
As expected the higher the frequency is the greater the phase variation is with a maximum excursion of 16 ∘ at about 7.3 GHz.However, it is worth noting that the choice of the working frequency seems to be critical, because maxima and minima of phase sensitivity are very close to each other.

System Specifications
The scenario of Figure 1 was implemented: the aperture antenna dimensions are  = 150 mm and  = 100 mm and it is placed at 3 meters of distance, facing the phantom thorax.The surrounding medium is a wet soil that according to [25] can be modeled as a homogenous dielectric having 3 ≤  1 ≤ 24 and 0.01 ≤ tan() =  1 / 1 ≤ 0.05, where  1 and   are the imaginary part and the real part of the electric permittivity of the medium surrounding the victim.The human body is assumed to be a lossy dielectric with  2 = 70 and  2 = 1 S/m.Summarizing the results predicted by the analytical model, it is possible to identify three different a priori system requirements: (a) an optimal frequency range from 1 to 2 GHz; (b) a frequency sweep analysis, more suitable than a continuous wave based system; (c) an antenna well matched with respect to the medium surrounding the buried victim.
Requirement (a) is related to the system maximum sensitivity (Figure 4).Requirement (b) is necessary because phase behavior is a rapidly oscillating function, and therefore the system has to sample the subject at different frequencies to avoid the occurrence of blind frequencies (Figure 3).Requirement (c) is related to (4) that clearly shows how the antenna mismatching is a noise superimposed to the useful signal: obviously the matching condition has to be realized in working situation, with the antenna radiating the lossy medium.

Breathing Detection
Using the a priori system specifications predicted by the analytical model, a system prototype was built up with laboratory equipment to measure the breathing frequency of a human subject.
The measurements were carried out firstly in a controlled environment in our laboratory, in order to check the system functionalities, and subsequently in a realistic situation.
Concerning the laboratory measurements, whose set up is depicted in Figure 5, a person was placed on the floor and the antenna was hanged up by a dielectric structure at the height  = 2m.The antenna was placed so as to radiate an electric field parallel to the main dimension of the man.The first measurement was carried out in free space.Then, in each of the three next measurements, an absorbing panel was added, placing it above the victim, in order to simulate the losses of the medium that surrounds the victim.It was experimentally measured that the insertion of three absorbing panels introduces a total attenuation of about 20 dB corresponding to a depth of 5 m in case of dry soil [25].
The PC connected to the VNA stores the complex reflection coefficient for each frequency scanned, performing the measurements in   = 71 frequency samples.Each scan lasts for 340 ms and during this time the subject can be considered still.A total number of   = 120 scans are acquired for a measuring time of about 40 s; in this way a matrix of values  11 (  ,   ) is stored into the PC memory, where   ( = 1, . . .,   ) is the th frequency sample and   ( = 1, . . .,   ) is the th acquisition time sample: Each column of the matrix  11 (  ,   ) represents the time variation of the complex reflection coefficient, due to breathing activity, measured at the frequency   .Performing a Fourier Transform (FT) of the  11 values of each column, the   frequency spectra  11 () are obtained, where  is a frequency in the breathing frequency range, typically 0.1-1 Hz.
As the spectral content related to the breathing activity of each column is the same, an average value is evaluated to achieve a unique reconstructed signal: this simple technique allows us also to avoid the problem of the frequencies with very low sensitiveness.
Figure 6 reports the reconstructed spectra when none, one, two, or three absorbing panels are inserted.It can be observed that the sensed breathing frequency is about  = 0.25 Hz; this frequency can be detected also when all the three absorbing panels are inserted, even if the amplitude of the harmonics decreases as the losses increase.The lower part of the spectrum represents the effect of the very slow (and not related to the respiration) movements of the body during the 40 s measurement.
Concerning the breathing detection in a realistic scenario, a man buried by a landslide of excavated soil during the construction of a road was considered.
At first, we carried out the  21 measurement to evaluate the path loss between points A, B, and C and the place where the victim was buried, inside a PVC pipe, Figure 7.In position A the antenna is at 2 m of distance from the victim, and in position B this distance is 1 m, whereas the C position is just over the PVC pipe where the victim is placed.The measurements were performed in November, and the excavated soil was very wet, a worst-case scenario for breathing detection.
Figure 8 shows the | 21 | between the receiving antenna placed on the victim's chest and the transmitting antenna at positions A, B, and C, respectively.
It can be noticed that in position A the value is between −80 and −100 dB, highlighting a too high attenuation to detect the victim respiration; at position B, from 1 to 2 GHz, sensitivity is higher, so the breathing measurement can be performed.The same measurements were also performed at position C where the attenuation is due to the PVC pipe only.
Figure 9 (blue line) reports the breathing frequency monitored at position B. The fundamental respiration frequency is 0.2 Hz but higher harmonics can be observed at 0.4, 0.6, and 0.8 Hz.
Since, for safety reasons, all persons who access the site must wear a high visibility jacket, an aluminum sheet was introduced in the jacket, improving the capability of the system to detect the thorax movements (red line).

Discussion
In this work an electromagnetic model to assess the design criteria for a rescue system has been presented; the model has been validated and finally the performances of a system, built up with laboratory equipment and designed according to the defined criteria, were tested to search a victim in a realistic scenario, as a road construction site.It is worth noting that during the study we realized that this system can be potentially used for other applications besides detecting the breathing activity of a victim.In fact the received signal can be processed in real time, and performing an Inverse Fourier Transform of the whatever column of ( 5), the subject position can be also retrieved.In case of multiple victims it is therefore possible to detect how many persons are buried under the landsleight and the rescue team would be able to assign the intervention priority depending on the vital signs of each victim.
The system could be also used in rescuing activities after other natural disasters as earthquake or avalanches, where the lossy medium is the rubble of the collapsed building and the snow, respectively.In this case further studies are required to analyze the signal propagation through a medium of random and inhomogeneous characteristics.In particular the antenna and the frequency range have to be finalized for the specific environment.
The capability of the system to sense the breathing activity could be also useful in many hospital applications; however, the patient must be monitored remotely without using sensors directly applied on the patient skin.Due to this characteristic and its possibility to monitor dressed patients or covered by blankets, the device could find its optimal applications in hospital departments such as burnt wards or the neonatal divisions.
The proposed system could also be used in Ambient Assist Living applications thanks to its capability to sense remotely human vital signs without compromising user privacy; the device seems to be particularly suitable to monitor domestic activity of elderly people because it requires neither interactions with the monitored subject nor training sessions.

Conclusions
In this work the usefulness of an EM model to assess the design constraints of a rescue system able to detect the breathing activities of buried victims was shown.
The model is analytical and simple, but effective and flexible.It was developed to simulate the behavior of an electromagnetic wave impinging on a human body buried under a lossy medium.The model allows us to determine some system design characteristics: (a) the optimal frequency range is 1-2 GHz, a tradeoff between the need for frequencies as high as possible to maximize the phase variations due to a respiratory act and the effect of soil attenuation; (b) a frequency sweep analysis in the optimal range is more suitable than a CW based system to avoid frequencies with a very low sensitiveness because of multiple reflections of the surrounding environment.On the other hand a UWB pulse could be characterized by a spectrum having most of its components strongly attenuated in case of lossy media; (c) the antenna would be well matched to reduce the  11 term not correlated to the victim breath (4).This condition should be verified considering the antenna imbedded into the medium where the victim is buried.

Figure 1 :
Figure 1: Scenario of the human body illuminated by an aperture antenna (dimensions are in mm).The respiratory activity is simulated by a volume variation of 1 liter of the grey region.

Figure 2 :Figure 3 :
Figure 2: Comparison between the model prediction and the measurement for the module of the reflection coefficient.

Figure 4 (
Figure 4(a) shows the | 11 | for different values of tan(), setting  1 = 6, whereas Figure 4(b) shows the | 11 | for different values of  1 , fixing tan() = 0.01.It can be observed that in both cases the frequency range 1-2 GHz allows the system to have the maximum sensitiveness in amplitude.It is well evident that the soil attenuation at high frequencies and low antenna efficiency at low frequencies strongly dominate the | 11 | behavior.Summarizing the results predicted by the analytical model, it is possible to identify three different a priori system requirements: (a) an optimal frequency range from 1 to 2 GHz; (b) a frequency sweep analysis, more suitable than a continuous wave based system; (c) an antenna well matched with respect to the medium surrounding the buried victim.Requirement (a) is related to the system maximum sensitivity (Figure4).Requirement (b) is necessary because phase behavior is a rapidly oscillating function, and therefore

Figure 7 :Figure 8 :
Figure 7: Test scenario: a victim is buried by 2 m of excavated ground.

Figure 9 :
Figure 9: Breathing frequency detection at position B without (blue line) and with (red line) the insertion of an aluminum sheet in the high visibility jacket.