# A Twin Spiral Planar Antenna for UWB Medical Radars

Authors: Giuseppe A. Zito; Enrico M. Staderini; Stefano Pisa
Journal: International Journal of Antennas and Propagation
 (2013)

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## Abstract

A planar-spiral antenna to be used in an ultrawideband (UWB) radar system for heart activity monitoring is presented. The antenna, named “twin,” is constituted by two spiral dipoles in a compact structure. The reflection coefficient at the feed point of the dipoles is lower than −8 dB over the 3–12 GHz band, while the two-dipoles coupling is about −20 dB. The radiated beam is perpendicular to the plane of the spiral, so the antenna is wearable and it may be an optimal radiator for a medical UWB radar for heart rate detection. The designed antenna has been also used to check some hypotheses about the UWB radar heart activity detection mechanism. The radiation impedance variation, caused by the thorax vibrations associated with heart activity, seems to be the most likely explanation of the UWB radar operation.


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## Body

## 1. Introduction

Ultrawideband radar systems transmit and receive ultrashort pulses having ultrawide bandwidth and very low power levels [1–5]. These properties make UWB radars safe for the exposed human being and compliant with other apparatuses in the environment, but at the same time increase the difficulty for the echo signal detection. For these reasons the radar antenna plays a crucial role in the UWB systems; in fact, it should combine the flat frequency response requirement on a wide band with directivity properties. Generally, a radiated beam directed towards the body is preferred for body-worn devices in order to minimize the “losses” towards the environment.Some kinds of UWB antennas, as horn or Vivaldi antennas, have an high directivity [6–9]. However, for all these radiators the maximum directivity is in the same direction of the maximum size of the antenna. In order to realize a wearable radar system, a directivity in a direction perpendicular to the maximum size of the antenna is necessary. For this reason, other kinds of devices have to be investigated as, for example, spiral antennas. These antennas are constituted by two coplanar spirals that unwind with a given flare rate [10]. The main characteristic of spiral antennas is a radiated beam, very constant with the frequency, pointing in two opposite directions perpendicular to the spiral plan. An implementation of this antenna uses a perfect electric conducting (PEC) ground plane placed at a certain distance below the antenna to produce a unidirectional beam [11]. Finally, it is important to note that all the cited antennas can be used in a UWB radar to observe copolarized reflections. For the heart activity monitoring the use of cross-polarized antennas could be advantageous. In fact, with respect to copolarized radiators, cross-polarized antennas reduce the backscattering from planar surfaces, as the chest wall, and increase the backscattered field from asymmetric structures like the heart [12, 13].Another open issue in UWB radar technique for heart activity monitoring is the physical rationale at the basis of the measured signals. After the first hypothesis, based on the far field operation, reported in the McEwan's patent [14], a wide set of hypotheses has been tested in [15]. Among others, in [15] the blood perfusion in the skin layer and in all the thorax layers and the micromovements of the skin due to the heartbeat have been considered. However no definitive solution has been given to this problem.In this paper a novel small-size directional twin cross-polarized planar spiral antenna for UWB systems is proposed. It is based on two twin spiral antennas rotated by 180° to each other on the same plane, one is used in transmission and the other in reception. Moreover, by using the designed antenna and a multilayer model of the human body, a theoretical study is performed for investigating the interaction mechanisms at the basis of the UWB radar operation.


## 2. Antenna Design

The main goal of the antenna design is to obtain, in the 3.1–10.6 GHz frequency range, issued by the federal communication commission (FCC) guidelines for medical applications [16], a reflection coefficient S11 and a coupling coefficient S21 lower than −8 dB and −20 dB, respectively.The chosen antenna geometry is reported in Figure1(a). The general equation for the upper and lower parts of the spiral arms on the x-y plane are
(1)x(t)=at/bcos(t),y(t)=at/bsin(t),
where “a” and “b” are parameters to be optimized to satisfy the design goals while “t” is the running variable. The final part of the lower line is closed with the higher part using a 4 point Spline. The other three arms of the antenna are obtained rotating the first arm of 90°, 180°, and 270° around z-axis.Geometry of the proposed twin spiral antenna. Frontal view (a) and lateral view (b). Antenna physical realization (c).
(a)
(b)
(c)The twin spiral geometry has been printed on a substrate having circular geometry, with a radius equal to 30 mm. The used substrate is a sheet of FR-4 having a relative permittivityεr=4.3 and thickness h=0.4 mm. In order to achieve an antenna pattern mainly in the direction of positive z-axis, an absorbing material and a reflecting plate have been placed behind the antenna. The absorbing material is ECCOSORB-FGM-40 with 1 mm thickness, the reflecting element is the copper plate of an FR-4 substrate. SMA connectors have been placed between point A in Figure 1 and the ground (port 1) and between point D and the ground (port 2) (see Figure 1(b)) while points B and C have been short circuited to the ground. In this manner a fully unbalanced structure is realized allowing an easy integration of this antenna in UWB radars with unbalanced TX/RX connections [17].The antenna geometry has been optimized through parametric simulations using CST Microwave Studio software. In these simulations the antenna parameters (a and b in (1)) have been varied inside realistic ranges and magnitudes of the S11(f) and S21(f) scattering coefficients have been analyzed. Only geometries giving S11(f) magnitude lower than −8 dB (ρ11=0.4) and S21(f) magnitude lower than −20 dB (ρ21=0.1) between f1=3.1 GHz and f2=10.6 GHz have been considered and, among those selected, the one maximizing the cost function
(2)C=1(f2-f1)∫f1f2(ρ11-|S11(f)|ρ11)·(ρ21-|S21(f)|ρ21)df
has been chosen. The best value of (2) has been obtained with “a” equal to 2.55 and 2.75 for the lower and the upper lines of the arm, respectively, and “b” equal to 4.


## 3. Numerical Simulations and Measured Results

Figure2 shows the return loss S11 (a) and the isolation S21 (b) as a function of the frequency obtained by means of CST simulations of the optimized antenna. The simulated results indicate that, according to the design goals, the antenna has a return loss lower than −8 dB and the S21 is always less than −20 dB in the 3.1–10.6 GHz frequency band.Return lossS11 (a) and isolation S21 (b) as a function of the frequency. Comparison between simulated and measured results.
(a)
(b)The designed antenna has been realized (see Figure1(c)) and the S11 and S21 scattering parameters have been measured by means of a vector network analyzer (PNA E8363B). The obtained results are reported in Figures 2(a) and 2(b), respectively. The figures show that the S11 frequency behaviors are in a quite good agreement with simulations, while some discrepancies, probably due to the SMA connectors, are present in the S21 behavior.Figure3 shows the simulated antenna radiation pattern, on the x-z plane (a) and on the y-z plane (b) at 4, 6, 8, and 10 GHz. The plots highlight that the maximum radiation is on the z direction with a −3 dB aperture of about 70°. Notice that in Figure 3(a) the main lobe direction is deviated with respect the z axis of about 15°: this behavior was not present in simulations without SMA connectors.Antenna radiation pattern, on thex-z horizontal plane (a) and on the y-z vertical plane (b) at 4, 6, 8, and 10 GHz.
(a)
(b)An important parameter for characterizing a UWB antenna is the fidelity factor that is the peak value of the cross-correlation function between the signals2(t) (electric field), at a given distance from the antenna, and the signal s1(t) (input voltage) [18]:
(3)F=maxτ∫-∞∞s1(t)s2(t+τ)dt∫-∞∞s12(t)dt∫-∞∞s22(t)dt,
where τ is the delay that maximizes F in (3).The fidelity factor has been calculated in air at various distances from the antenna and for various directions. Results concerning the fidelity are summarized in Table1. The values reported in the table highlight the very high fidelity factor of the proposed antenna.Table 1
Simulated fidelity factor for the proposed twin antenna.
Probe position (cm)
Fidelity factor
x
=
0; y=0; z=10
0.9803
x
=
0; y=0; z=5
0.9732
x
=
4; y=0; z=0
0.9283
x
=
-
4; y=0; z=0
0.9680


## 4. Operating Principles

The first hypothesis on the UWB radar operating principle was proposed by McEwans [14] and was based on the far field detection of heart wall movements. In [15] the authors have evidenced that a UWB radar cannot detect the movements of the cardiac wall because of the strong attenuation of the UWB pulse in the thorax. A possible operating mechanism suggested in [15] is based on a near field interaction: the detected signal is not an echo, but the consequence of a change in the antenna radiation impedance at the same frequency of the heart rate.To investigate this phenomenon, two possible mechanisms have been hypothesized, in particular the increase of the blood perfusion in the skin layer and in all the thorax layers, and the micromovements of the skin due to the heartbeat [15].In order to study the influence of the blood perfusion on the antenna radiation impedance, first of all the alteration in the tissue dielectric properties due to the blood increase caused by heart activity has been quantified. For this purpose, a human body and lung volume of 70 and 5 liters, respectively, have been considered assuming a stroke volume of 80 mL flowing both in the lung and in the other tissues according to the big and small circulation concepts. Moreover, the whole blood content has been assumed equal to 5 liters uniformly distributed in the body. Notice that this is a rough approximation because some organs as brain and muscles utilize more blood than fat and bones.On the basis of these assumptions, the blood increase in the lungs and in all the other body tissues, between the end diastole and end systole, is about 20% and 2%, respectively. Finally, the tissues electrical parameters at the end of systole (εs and σs) have been calculated as an average between the value of the tissues electrical parameters at the end diastole (εd and σd) and the value of the blood (εb=53.95 and σb=5.39 S/m) weighted by the above reported percentages. The results are shown in Table 2.Table 2
Tissues electrical parameters at the end of diastole (εd and σd) and at the end of systole (εs and σs).
ε
d
ε
s
σ
d (S/m)
σ
s (S/m)
Skin
35.77
36.13
3.06
3.11
Muscle
49.54
49.63
4.04
4.07
Heart wall
50.27
50.34
4.86
4.87
Lung
44.86
46.68
3.94
4.23In order to test the previously cited hypothesis on the radar operating principle a time domain simulation with the twin antenna in front of a model of the thorax has been performed (see Figure4). In particular, the human body has been modeled by using a multilayer structure approximating the thorax of the visible human [19]. The considered geometry has been simulated by means of the CAD Microwave Studio by CST. The antenna was excited at one port by a Gaussian pulse with a 3–10 GHz bandwidth and the signal time behavior was recorded at the other port.Figure 4
Twin antenna in front of a multilayer model of the thorax.The comparison between the recorded signals, achieved by assigning to the various tissues the parameter values at the end diastole end at the end systole, shows signal differences of few microvolts, not detectable by a UWB radar.Concerning the micromovements of the skin, according to [15], a displacement between the antenna and the skin of  ±30 μm has been supposed and the structure has been simulated by means of Microwave Studio. In particular a reference situation with the antenna placed at 0.5 mm far from the body has been considered. Then the distance between the antenna and the body has been varied in the ±30 μm range. The signal received by the antenna at port 2, exciting at port 1 as in the previous study, is depicted in Figure 5. The figure shows that up to 1.5 ns all the signals are perfectly superimposed (the signal is inside the antenna) and then they split. The body micromovements are converted in delays that give rise to amplitude differences up to 20 mV (see Figure 5, absolute difference). In particular there is a direct correlation between the delays and the body micromovements.Figure 5
V
21 simulated for different displacement between the thorax and the antenna.It is worth noting that this effect is not directly connected to the spatial displacement, as in the classical radar analysis, but it is due to a modification of the complex antenna radiation impedance. Moreover, it is interesting to note that the absolute difference signal can be recovered in more than one time point between 2 and 8 ns.


## 5. Discussion

The performed study has evidenced the ability of the twin antenna to detect heart activity by exiting the twin antenna at one port and measuring the reflections at the other port. A question arises: is this antenna operation better than the one in which the antenna transmits and receives with the same arms?This issue has been studied by placing the antenna in front of the multilayer body model (see Figure4),  exciting the antenna with a Gaussian pulse with a 3–10 GHz bandwidth and measuring the signal at the transmitting arms (V11) before and after a distance variation of 30 μm. The obtained results are reported in Figure 6 together with the absolute differences between the two signals.Figure 6
V
11 simulated for different displacement between the thorax and the antenna.The maximum voltage difference on theV11 signals is about 40 mV as compared with the 20 mV on V21 (see Figure 5), but the percentage difference, normalized respect to the maximum of the whole signal, is 16% for V11, and 30% for V21. Hence the signal variation V21 can be better evaluated than V11 by the sampling circuit used in the UWB radar.In conclusion, the use of two cross-polarized radiating structures for the transmission and the reception of the UWB signals makes the proposed antenna better than a similar one using a single radiator. Moreover, with respect to similar realizations using two bow-tie, horn, or Vivaldi radiators [3] the proposed structure is very compact with a beam propagation axis perpendicular to the substrate. This makes the twin antenna easy to integrate in the UWB radar electronics and it makes easier the realization of a wearable radar.


## 6. Conclusions

The proposed twin antenna is a variation of the famous Archimedean spiral antenna, with two arms used for transmission and other two arms used for capturing the received echo.The reflection coefficient at the feed point of the antenna is lower than −8 dB over the 3−12 GHz band while the two-antennas coupling is about −20 dB.If inserted in a range gating UWB radar the antenna can be used to detect the heart rate activity.In a UWB radar for heart rate activity monitoring, the measured signal is not related to an echo coming from the heart wall, but seems to be related to a change in the antenna radiating impedance as a consequence of the microdisplacements of the thorax in front of the antenna produced by the heart movements.



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*Source: 684185-2013-01-17.xml*