SMALL SEMI DIRECTIONAL ANTENNA FOR UWB TERMINAL APPLICATIONS Raffaele D'Errico, Hassan Ghannoum, Christophe Roblin, Alain Sibille ENSTA , 32 Bd Victor Paris Cedex 15, France,Email:raffaele.derrico@ensta.fr ABSTRACT The design of an ultra wide band (UWB) semidirectional antenna is presented. Both antenna optimizations by simulation and measurement results are presented. The final prototype size is 33 mm x 20 mm x 11.5 mm. The achieved input bandwidth is 3.9-15 GHz. The maximum boreside realized gain (BRG) is 7.5 dBi and the maximum Front-to-Back-ratio (FTBR) is 13 dB. The frequency variance of the antenna gain is exploited in a two-antenna radio link in order to compensate that of free space attenuation. 1. INTRODUCTION The design of UWB antennas should consider the overall performances of UWB system. For most of these, the improvement of the link-budget, even by a few dB, is of practical importance, because of the constraints imposed by regulation authorities, e.g. FCC [1] or ECC [2], as regards the transmitted power. Since regulatory limits are defined in terms of the effective isotropic radiated power (EIRP) at transmitter side, one way to enhance system performance is to introduce antenna gain at the receiver side. Moreover using a directional transmit antenna helps reduce emissions in undesired directions. This could be desirable where a narrower field of view can be tolerated. Many scenarios in UWB short range communications indeed are in line of sight (LOS) or quasi-LOS conditions. However, when the terminal is mobile, high antenna directionality is not adequate. Furthermore directional antennas are larger in size than omni-directional ones, whereas several UWB systems require small-sized, easy to integrate and particularly low complexity/cost antennas. A semi-directional antenna provides a gain of a few dBi (e.g. 4-6 dBi) with a FTBR of 4-5 dB, and its main lobe covers a large zone. This should be a good trade-off in order to improve the link-budget margin, while preserving the robustness of the link and the small size of the antenna. In this paper we improve in terms of size and performance the design of an UWB semi-directional antenna, intended for low-cost applications [3]. 2. (DFMM) [5], and it combines a quasi omni-directional radiator with a dielectric lens which focuses the radiation. The DFMM antenna size is 33x mm x 20 mm x1.524 mm, and it is realized in microstrip technology on a Neltec® substrate (εr = 2.33). This antenna already presents a slightly directive behaviour in the direction normal to the monopole plane. The idea is then to enhance this radiation asymmetry by placing a lens on the substrate-ground plane side. ANTENNA DESIGN The design of the proposed antenna is derived from a previous work on a dual-fed microstrip monopole Figure 1. Antenna parameters and final prototype Such an approach is typical of quasi-optical antenna design [4], where the lens shape is modelled using optical rays theory. However a small lens will affect the radiation differently according to the wavelength, hence the conventional design method is not appropriate in UWB because of the large bandwidth. Thus, the method of moments (MoM) based tool WIPL-D® is used for simulations, in order to optimize the antenna performance in terms of radiation and impedance matching (Z0=50 Ohms). The adopted lens shape is a half ellipsoid, and its dimensions have been parameterized as depicted in Fig.1. In all simulations a coaxial cable connected to the SMA connector was taken into account, in order to avoid antenna excitation by superior modes introduced by the generator implemented in the simulation tool. Proper de-embedding was carried out in the evaluation of the impedance matching, but obviously the presence of this cable will affect radiation results in simulation as well as in reality, especially at the lowest frequencies around 4 GHz. In the presented simulations the lens position is fixed to L=14 mm, which corresponds to the edge of the ground plane of the DFMM antenna. As a result the lens is located on the transition zone between the feeding circuit and the monopole, where most currents are concentred. The semi-axis b=10 mm has been fixed in order to have a narrower main lobe in the azimuth (X-Y) plane. Its maximum size is limited by the DFMM width (20 mm). out that the input bandwidth remains the same, with some mismatch over the band 8.5- 10.2 GHz. It is possible to reduce this mismatch by increasing h, as depicted in Fig.3. The lens height indeed significantly affects the antenna gain. This is an expected behaviour, because of the directional effect introduced by the lens. In previous simulations, the dielectric constant εr was chosen with nylon in mind, for which the relative permittivity varies between 3.2 and 5 depending on the frequency. The effect of εr for a lens with a=b=h=10 mm is shown in Fig.4. By increasing the lens permittivity it is possible to confine and concentrate the waves in order to have a more directional behaviour. At the same time the impedance matching is improved at high frequencies. In all simulations the onset of the matching bandwidth is close to 4 GHz and close to that of the antenna without lens [5], which implies that the lens has quite a small influence on it. (a) (a) (b) Figure 2. Effect of the lens semi-axis a a=10, 12,14 ,16 mm; b=h=10 mm εr=4. Simulated S11 (a) and BRG (b) As regards the antenna performance evaluation, we consider the return loss (S11) and the BRG in the direction normal to the ground plane (X-direction, Fig.1). In Fig.2 we show the influence of the semi-axis a, for a lens of height h=10 mm and a dielectric constant εr = 4. The antenna is matched over the 4.1-8.4 GHz band with respect to S11 < -10 dB, or over the 4.1-15 GHz band with respect to S11 < -7 dB. By increasing a, the resonant frequency around 14 GHz shifts to lowest frequencies, but the input bandwidth remains unchanged. On the other hand the BRG decreases at the highest frequencies. In Fig. 3 the effect of h is shown. The two semi-axis values are fixed equal to a=b=10 mm, and the lens dielectric constant is kept equal to εr = 4, while h varies between 10 mm and 25 mm by step of 5 mm. It turns (b) Figure 3. Effect of the lens heights h h=10, 15 , 20, 25 mm; a=b=10 mm εr=4. Simulated S11 (a) and BRG (b) Based on the whole set of simulations, the values of a and b have been chosen with the purpose of maximizing the BRG, while the lens height h has been chosen in order to keep the antenna size reasonably small. The final adopted lens shape is a half sphere of radius a=b=h=10 mm, which is also easy to fabricate. This results in a prototype of the DFFM with Dielectric Lens (DFMM-DL) of size 33 mm x 20 mm x 11.5 mm. The lens material is TECAMID 66 GF30, which is commercially available and composed of Nylon and 30% of glass fiber. (a) Figure 5. Measured (solid line) and simulated (marker) return loss (b) Figure 4. Effect of lens permittivity εr on the simulated S11 (a) and BRG (b) (a=b=h=10 mm) 3. MESUREMENTS RESULTS The return loss and the radiation pattern have been measured in an anechoic chamber with an HP8510C® vector network analyzer and a calibrated 1-18 GHz Log Periodic Dipole Array (LPDA) reference antenna. The radiation characteristics of the DFMM-DL are obtained after de-convolution of the reference antenna 3.1 Frequency domain results The measured reflexion coefficient is presented in Fig.5 and compared with the simulated one with εr = 4. The input bandwidth is 3.9-15 GHz with respect to S11<-10 dB, with the exception of the band 9-9.8 GHz where S11<-8 dB, which agrees with simulation quite well. This mismatch can be tolerated in view of the fact that the antenna BRG is always positive. Thus the input bandwidth is improved compared to DFMM antenna, which is matched over the 4.1-11.5 GHz [5]. In Fig.6 we show the compared BRG and FTBR of the DFMM-DL and DFMM antennas. The use of the dielectric lens improves the antenna gain up to 4 dB in the DFMM input band, except for the frequencies around 10 GHz, where anyway the FTBR is enhanced. The maximum BRG is 7.5 dBi at 12.6 GHz, while the maximum FTBR is 13 dB at 10.6 GHz. In Tab.1 we show the mean BRG and FTBR computed by averaging over several bandwidths chosen according to FCC [1] or to the ECC [2] recommendations. Depending on the selected sub-band, it is possible to achieve a favourable mean FTBR or mean BRG, although there appears no obvious direct relation between both. Figure 6. Measured BRG (black) and FTBR (grey), in DFMM-DL (solid line) and DFMM (dashed line) Band 3,9-15 (input bandwidth) 3,1-10,6 (FCC) 3,1-4,8 (ECC) 4,8-6 (ECC) 6-8,5 (ECC) 8,5-10,6 (ECC) 10,6-15 (ECC above 10,6) Mean BRG (dBi) Mean FTBR (dB) 4,49 5,71 3,73 1,53 2,98 4,91 4,32 4,65 5 7,87 4,22 3,65 5,01 7,21 Table 1 Effect of the input bandwidth on mean radiation characteristics The frequency-dependence of the radiation pattern of the DFMM antenna in three different planes is shown in Fig. 7. The measured realized gain is shown at three different frequencies in each plane. the absolute fidelity of the antenna, instead of computing the maximum magnitude of the normalized cross-correlation between the transmitted waveform and the time derivative of the input signal, commonly used in the literature [6]. (a) Figure 7. Measured realized gain 3.2 Time domain results Classically, by means of a frequency domain approach, it is possible to obtain more or less general information such as the gain, the main lobe direction and beamwidth, versus the frequency and phase or group delay for a given direction (or even for a given solid angle). In the time domain, it is also possible to access the waveform of the radiated field as a function of the angular coordinates. When an antenna is excited by an incident signal w(t) it radiates an electric field, whose waveform, e(θ,φ,t) in the (θ,φ) direction, is a distorted version of the incident one. Distortion is due to dispersion, i.e. the frequencydependence of the realized gain and the angular frequency-deviation of the radiation pattern. A common feature in UWB antenna characterization is a time domain approach with the purpose to characterize the distortion introduced by the antenna. This is of practical importance in pulsed schemes, where distortion may affect the overall system performance by introducing inter-symbol interference. Here the chosen excitation signal w(t) is a gaussian impulse compliant with the FCC mask. The -10 dB power bandwidth is 3.2-8.0 GHz (Fig.8). In Fig.8 we show w(t), properly delayed, and e(θ,φ,t) in the boreside direction, for the DFMM and DFMM-DL antennas. Although both antennas distort, they do it in a visually moderate way. The normalized correlation between the excitation signal and the radiated one in certain direction quantifies the distortion introduced by the antenna in that direction. This correlation has been used to define (b) Figure 8. (a) Spectrum of the excitation signal w(t), (b) waveform of the excitation signal w(t) (blue), and waveform of the radiated signal e(t), by DFMM (black dashed) and DFMM-DL (black solid) in the boreside direction. However the antenna distortion may vary significantly with the direction, thus it must be investigated with respect to radiation angles. In addition to the absolute fidelity, it is useful to look at the variation of the distortion, with the direction which maximizes the absolute fidelity as reference. Thus a Relative (or Differential) Fidelity can be defined as (Eq.1), [5]: DF t (θ , φ ) = Max τ R R ee m em (θ , φ , τ ) (1) ( 0) Where Rxy is the (x,y) cross-correlation function, θ max , ϕ max = ArgMax Max R ew (θ , φ , τ ) , and τ em (τ ) = e(θ max , ϕ max ,τ ) . ( ) The direction maximizing the absolute fidelity turns out to be the boreside one, which is obviously a favourable feature [7]. Fig. 9 shows the relative angular fidelity in the X-Y plane. The fidelity deviation at -1 dB is respected over an angular range of 55°. Nevertheless the influence of this variation on the UWB link performance (e.g. Signal to Noise Ratio or Bit Error Rate) should be evaluated in order to decide whether it is acceptable or not. However at the same time the lens position affects the antenna gain, as depicted in Fig.11. Increasing L produces a detrimental effect on the BRG especially at high frequency. This result can be explained as a consequence of an angular shift of the main lobe in elevation, as seen in Fig. 12 which shows the mean realized gain (MRG) computed over the bandwidth 3.9-15 GHz, for different values of L. Therefore it is possible to improve the impedance matching, but this results in an alteration of the radiation pattern. Figure 9. Angular fidelity deviation of DFMM-DL antenna in the X-Y plane, in dB 3.3 Effect of the lens position over the ground plane In the prototype the lens has been placed at L=14 mm (Fig.1), according to the antenna design (section 2). Slight variations of L have been experimentally tested on the prototype and are shown here. As depicted in Fig.10, by moving the lens into the Z-direction we can have a beneficial effect on the impedance matching. In particular, for L = 19 mm and L=21.5 mm the antenna respects S11<-10 dB over the all 3.9-15 GHz band. (a) Figure 10. Effect of the lens position on S11 (measured); (b) Figure 12. Effect of lens position on MRG (measured) 4. Figure 11. Effect of the lens position on BRG (measured) Antenna performance in a LOS radio link Let us consider a point to point LOS radio link with two DFMM-DL antennas. The frequency dependence of the antenna BRG (Fig.6) can be exploited in order to compensate that of free space attenuation, when two such antennas are used in the radio link. As depicted in Fig.13, the transmitted/received power ratio of the overall system is almost constant in the LOS direction over the 3.4-9.5 GHz band (maximum variation of 2.5 dB). Such a feature is rarely obtained (see the two isotropic ideal antennas case in Fig.13), and is very interesting in that all sub-bands under a constant EIRP spectral density will exhibit identical performance [7]. the frequency dependence of the gain has been exploited in a point to point LOS radio link, achieving a frequency flat two antenna system, which has some virtues given current UWB regulations. 6. Acknowledgments The authors would like to thank G. Poncelet for his help with the fabrication of the antenna prototype. This work was in part supported by the European Commission under IST integrated project PULSERS (FP6). Figure 13. LOS transmitted/received power Figure 14. 2 DFMM-DL antennas system in LOS However this is the most favourable case, while the antenna orientation may change. We consider a symmetrical rotation α from the boreside direction, identical for the two antennas. The antenna rotation is along the Z-axis, i.e. the azimuth plane (Fig.14). In Fig.15 we show the influence of this rotation. Performances are degraded, but even with a shift α=25°, corresponding to a “global” variation of 50° from the LOS boreside direction, the path loss remains roughly frequency flat (maximum variation 2.5 dB) over the 3.48.8 GHz. Figure 15. 2 Transmitted/received power in a 2 DFMM-DL system for different orientations in the azimuth plane 5. Conclusions A design for a small UWB semi directional antenna has been proposed. A gain improvement has been obtained by the use of a dielectric lens with a quasi omnidirectional antenna (maximum gain 7.5 dBi). The lens design has been optimized in order to achieve a trade off between the input bandwidth (3.9-15 GHz), the antenna gain and the size. Time domain results demonstrate a quasi non-distorting behaviour. Finally References 1. 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