On-body semi-electrically-small tag antenna for ultra high frequency
Transcription
On-body semi-electrically-small tag antenna for ultra high frequency
IET Microwaves, Antennas & Propagation Research Article On-body semi-electrically-small tag antenna for ultra high frequency radio-frequency identification platform-tolerant applications ISSN 1751-8725 Received on 23rd June 2015 Revised on 18th November 2015 Accepted on 7th December 2015 doi: 10.1049/iet-map.2015.0398 www.ietdl.org Milan Svanda ✉, Milan Polivka Faculty of Electrical Engineering, Czech Technical University in Prague, Technicka 2, 166 27, Prague 6, Czech Republic ✉ E-mail: [email protected] Abstract: In this study, the authors proposed the impedance-flexible on-body semi-electrically-small tag antenna for the European ultra-high frequency radio-frequency identification (UHF RFID) frequency band. The radiator is based on differentially-fed coupled shorted-patches and vertical folding techniques, using a loop excitation. The proposed excitation methods enable the input impedance to be tuned to the complex impedance of typical UHF RFID chips as well as to 50 Ω impedance. In addition, the virtual electric short applied inside the structure simplifies the topology and manufacture. The antenna dimensions are 40 × 50 × 3 mm3 (0.12 × 0.14 × 0.01 l0) and represent the electrical size ka = 0.58 at 866 MHz. The total efficiency measured in open space exceeds 60%. In case that the antenna is situated on a human phantom, it accounts for 50%. Accordingly, the antenna provides the read range of 5.6 m (in open space) and 5.1 m (when located on human chest). 1 Introduction On-body high-efficiency small antennas: this set of requirements draw attention to the most fundamental features of modern planar antennas for body-centric wireless communication [1, 2]. Unfortunately, satisfactory parameters for all three features cannot be achieved without a trade-off, due to the contradictory nature of these features. Placing the antenna on a lossy human body causes power absorption, and consequently reduces the radiation efficiency, due to the interaction of the electromagnetic field with the surrounding body. Making the antenna electrically small results in the same effect, due to the principal limitation of electrically small antennas [3]. Patch-type antennas are perfectly suited for operation directly on the surface of the human body, with no significant impact on their impedance and radiation properties. This is due to their inherently present metallic ground plane, which serves as an electric shield for the body. Other types, e.g. dipoles, may also have been used to operate on the human body, but they require a spacing pad with a minimum distance of at least 0.02 l0 [which represents several millimetres at ultra high frequencies (UHFs).] for the electrical parameters of the antenna to remain unaffected. Typically, two sorts of materials, flexible or rigid, are available for manufacturing patch-type antennas that are suitable for operation on the human body, usually with a negligible change to their electrical parameters due to the inherent presence of the ground plane. These radiators, which are usually made from flexible foam and conductive fabric, in most cases integrated into the wearer’s clothing, are usually referred to as wearable or on-body antennas [4–11]. A conductive fabric or sewn threads are usually applied for the conductive pattern of the radiator [7, 8]. This is good for providing some flexibility of the material and some conformity with the surface, but at the same time it reduces the efficiency and the gain of fabric antennas typically by as much as 3 dB, as has been demonstrated in several studies [8, 9]. A number of small platform-tolerant tag antennas for on-body applications made of rigid substrates have already been published, e.g. in [12–23]. However, their main disadvantage is their very small radiation efficiency, typically lower than 20%, which results in negative gain and a short read range. A special differentially-fed patch-type topology has been developed that enables the design of an extremely low antenna profile (<0.01 l0, typically 1 mm or less in thickness in the UHF band) with sufficient radiation efficiency IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 (typically 50% and more) [24–26]. Due to the resulting extremely low profile and weight, these antennas may also be considered wearable, and they can be integrated into a conference badge without any disturbing effects. Progress has been made in the design of wearable antennas using the classical rigid high-frequency substrate applicable in the European UHF radio-frequency identification (RFID) frequency band (866–869 MHz), by combining the application of coupled shorted-patches [25, 26] with vertically-folded patch techniques [27], which the authors have developed and presented earlier. The progress presented here, using rigid substrates, shows the following features: (a) A further reduction in the footprint size in exchange for just a tiny increase in height, so that the overall electrical size of the antenna approaches the limit of electrically small antennas (ka = 0.58). (b) Feeding by a loop, enabling the input impedance to be matched to the typical complex impedance of RFID chips, and as well as to 50 Ω impedance for the direct measurement of the received signal strength. (c) Simplification of the structure topology using inner virtual electric wall that does not affect the electrical parameters of the radiator (i.e. sufficient total efficiency is maintained) and reduces the manufacturing complexity 2 On-body antenna miniaturisation 2.1 Application of coupled shorted-patches and vertical folding techniques The basis for vertical folding of a patch cavity is the idea that the conventional rectangular microstrip patch antenna can be described as a resonating cavity with magnetic walls at the open side edges; [28]. The cavity can be folded, while the electrical length of the whole folded cavity and also the resonant frequency remain constant, and the physical length of the antenna is reduced to almost 50%. If the vertical folded patch cavity technique is applied to the low-profile coupled shorted-patches structure, we can achieve a novel miniaturised radiating structure that retains good radiating features in a free space and also in the close vicinity of a human 631 Fig. 1 Side cross section and electric field distribution of the folded antennas a Vertically-folded shorted-patch antenna b Proposed vertically-folded coupled shorted-patches antenna with inner metallic wall c Proposed vertically-folded coupled shorted-patches antenna without inner metallic wall body/phantom. This is due to the presence of one radiation slot in the central part of the structure and thus avoiding the interaction of fringing edge-fields with the body as in the case of the classical patch antenna. The side cross section with the electric field distribution of the vertically-folded quarter-wavelength patch antenna and the proposed vertically-folded coupled shorted-patches antenna is shown in Figs. 1a and b, respectively [27]. The coupled shorted-patches tag antenna consists of two 1.52 mm thick layers of low-permittivity GML 1000 woven-glass laminate with ɛr = 3.2, and loss tangent tan δ = 0.003, as shown in Fig. 3a. The resulting antenna size is 40 × 50 × 3 mm3 (0.12 × 0.14 × 0.01 l0), which represents electrical size ka = 0.58 at 866 MHz. 2.2 Fig. 2 Comparison of real and imaginary part of input impedance of the folded coupled-patches antenna with and without inner metallic wall Application of the virtual electric wall The inner metallic wall is present due to the connection of the shorted edges of the two vertically-folded shorted patches, as shown in Fig. 1b. The wall brings two disadvantages: increased manufacturing complexity and a higher cost price. However, as Fig. 3 Directly excited folded coupled-patches RFID tag a Sketch of the antenna b Photograph of antenna monopole arrangement for purpose of measuring impedance and efficiency 632 IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 3 3.1 Fig. 4 Simulation and measurement of parameters of the directly-excited vertically-folded coupled-patches tag antenna a Transmission coefficient b Radiation efficiency c Total efficiency Effect of feeding on impedance matching Direct excitation Here, we designed the antenna to be a conjugate matched to NXP G2XM chip with Zchip = 22 − j195 Ω. The feeding chip is located in the centre of the metallic pattern upon the antenna upper layer, as shown in Fig. 3a. The dimensions follow: w = 40 mm, l = 50 mm, lp = 44 mm, g = 2 mm and h1 = h2 = 1.52 mm. The changes in structural parameters of folded coupled-patches enable the antenna impedance to be tuned to complex conjugate values with respect to the most of impedances of passive UHF RFID chips [27]. The main drawback of this solution consists in the restricted range of input impedance that is achievable by direct excitation. Similar to Fig. 5a depicting the input impedance of the loop-excited antenna presented in Section 3.2, the impedance curve is situated in the vicinity of the Smith diagram circumference. However, input impedance close to 50 Ω is difficult to achieve applying the only parametric changes of patch topology. The performance properties of the directly-excited antenna were verified in a monopole-type arrangement in order to avoid the use of a balun situated between the antenna and the coaxial connector, as shown in Fig. 3b. The monopole-type input impedance then accounts for one half of the value for a dipole-type impedance. Zmonopole = Zdipole/2 is therefore considered for further evaluation ∗ = 22 + j195 Ω). (where Zdipole = Zchip The transmission coefficient, as shown in Fig. 4a, between the antenna and the chip input impedance was evaluated from the standard reflection coefficient measurement. The measurement was performed with and without a human body phantom (made of agar boiled in salted water with the concentration of 3.45 g/l with ɛr ∼ 55 and tanδ ∼ 0.5, with dimensions of 80 × 110 × 15 mm3), which was enclosed in the back of the antenna. Considering the RFID application, the antenna and chip impedances are properly matched, provided that their input impedances represent a complex conjugate. Consequently, the power transmission coefficient t is calculated by means of the following equations t = 1 − |G|2 = can be seen from the electric field distribution in Figs. 1b and c, there is no need for a real metallic short wall, as the zero electric field in the middle of the patch enables the use of a virtual short with negligible overall influence on the field distribution and the input impedance, as shown in Fig. 2. 4Rant Rchip 2 2 , Rant + Rchip + Xant + Xchip (1) 0≤t≤1 G= Zchip − Zant , Zchip + Zant 0 , |G| , 1 (2) Fig. 5 Simulated impedance curves of the loop-excited antenna a Matched to complex RFID input impedance b Matched to 50 Ω input impedance IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 633 Fig. 6 Loop-excited folded coupled-patches RFID tag a Sketch of the antenna (3D view) b Sketch of the antenna (side view) c Photograph of antenna monopole arrangement for the purpose of measuring input impedance and efficiency Table 1 Wearable UHF RFID tag antenna performance Number 1 2 3 4 5 6 7 8 9 10 11 Ref. Size, mm3 ka (–) ηtot, % G, dBi [16] [17] [17] [18] [19] [20] [21] [22] [23] our design #1 our design #2 68 × 30 × 3.0 35 × 25 × 3.0 45 × 20 × 3.0 72 × 25.5 × 3.2 74.5 × 20 × 3.0 58 × 34 × 0.85 99.9 × 45 × 0.86 75 × 42 × 2 134 × 58 × 3 50 × 40 × 3.0 50 × 40 × 3.3 0.73 0.42 0.48 0.73 0.75 0.65 1.06 0.83 1.39 0.58 0.58 23.4 22.6 10.6 44.0 21.1 8.1 23.5 33.2 45.2 51.0 35.0 −1.7 −3.6 −6.9 0.6 −1.0 −9.0 −3.5 −1.8 1.8 −0.2 −2.0 This monopole-type arrangement enables doing measurements of the radiation and the total efficiencies by the Wheeler cap method [29]. A cap size of 122 × 122 × 122 mm3 was used. The measurements were performed with and without the human body phantom, as shown in Figs. 4b and c. Very good immunity from the phantom and also sufficient total efficiency (i.e. the radiation efficiency multiplied by the power transmission coefficient t) can be observed at an operation frequency of 866 MHz. 3.2 Loop excitation where Γ is the reflection coefficient between the antenna and chip impedances, Rant and Rchip represent the antenna and chip input resistances, respectively, while Xant and Xchip stand for the antenna and chip input reactances, respectively. Unlike the directly-excited antenna, the loop-excited folded coupled shorted-patches RFID tag antenna requires a third substrate layer to be added; as shown in Fig. 6a. Thanks to the extra degree of freedom (the excitation loop length), it is possible to affect the antenna impedance due to the mutual coupling of the excitation loop and radiation body so that 50 Ω impedance can be achieved; as shown in Fig. 5. Rather than building-up the semi-analytical equivalent model for the calculation of input impedance, which might hardly be purely analytical due to the complicated or even possible simply analytical description of the coupling, we present in the following section input impedance changes as a function of structural parameter variations. The dimensions of the loop-excited antenna depicted in Fig. 6a follow: w = 40 mm, l = 50 mm, lp = 42 mm, g = 2 mm, h1 = h2 = 1.52 mm, h3 = 0.25 mm, lloop = 43 mm, wloop = 30 mm and wstrip = 1 mm. Very similar as in the previous case, the performance properties of the loop-excited antenna were verified in a monopole-type 634 IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 Fig. 7 Simulation and measurement of parameters of the loop-excited vertically-folded coupled-patches tag antenna a Transmission coefficient b Radiation efficiency c Total efficiency Fig. 8 Zin of the loop-excited folded coupled shorted-patches antenna with antenna length l as a parameter Fig. 9 Zin of the loop-excited folded coupled shorted-patches antenna with inner patches length lp as a parameter a Real part b Imaginary part a Real part b Imaginary part arrangement in order to avoid the use of a balun situated between the antenna and the coaxial connector; as shown in Fig. 6b. The transmission coefficient, as shown in Fig. 7a, between the antenna and the chip input impedance was evaluated from the standard reflection coefficient measurements, performed with and without the same human body phantom, which was enclosed in the back of the antenna. The monopole-type arrangement enabling measurements of efficiency by the Wheeler cap method [29] was used to verify the properties of the antenna; as shown in Figs. 7b and c. In comparison to the directly excited version, the third added layer gives rise to the decrease in the total efficiency (measured with the help of the agar phantom) by about 20%. However, this value is still sufficient considering the small size of the structure. Sufficient immunity of the impedance detuning and the radiation efficiency due to the presence of a phantom is retained at an operating frequency of 866 MHz. Table 1 summarises the comparison of the electrical size with the total efficiency and gain of the proposed designs and several other designs that have been published [16–19]. The efficiencies of the reference designs have been evaluated from the gains calculated from the Friis formula; see e.g. [30]. Directivities have been calculated from the beamwidth of the radiation patterns. It is clearly visible that in comparison to electrically larger antennas (see rows 1, and 4–9 in Table 1), the tag proposed here provides a larger or at least comparable total efficiency and gain. At the same time, it shows a larger total efficiency and gain than the electrically smaller antennas (see rows 2 and 3 in Table 1). 4 Parametric study of the input impedance retuning IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 The flexibility to retune the input impedance is illustrated using a set of parametric studies; as shown in Figs. 8–11. The principle of setting the antenna impedance for the required complex value or directly to 50 Ω at the specified frequency of the European UHF RFID band is based on the change in the surface currents and electromagnetic field distribution on the excitation loop and in inner structures of the antenna. This change can be controlled by modifying the loop geometry and, at the same time, by modifying the size of folded coupled shorted-patches structure. In order to tune the input impedance for a complex conjugate value to the RFID chip impedance Zchip = 22 − j195 Ω at the observation frequency of 866 MHz, the parametric study shown in Figs. 8–11 employs the impedance-sensitive dimensions, such as antenna length, inner patch length, antenna width and excitation loop circumference length. The changes are applied exclusively to this parameter, while the other parameters remain unchanged. 5 Read range and identification test To evaluate the performance of tag antennas in real operating conditions, the read range tests were performed in 4 m wide corridor with the fixed transmitted power of 30 dBm and the standard 8 dBi reader antennas, generating 6.3 W of effective 635 Fig. 10 Zin of the loop-excited folded coupled shorted-patches antenna with loop circumference C as a parameter Fig. 11 Zin of the loop-excited folded coupled shorted-patches antenna with width w as a parameter a Real part b Imaginary part a Real part b Imaginary part isotropic radiated power (EIRP). The tag antenna with the NXP G2XM UHF RFID GEN 2 chip (chip power sensitivity Pchip min = −15 dBm) was fixed at the height of 1.3 m in free space and on a person’s chest; as shown in Fig. 12. The tagged figurant was standing on the corridor axis and near the corridor wall. Table 2 indicates the read range evaluated for both, the directly excited as well as the loop-excited folded coupled shorted-patches RFID tag antennas located in a free space and also for the antennas attached to a human chest. Read range in Table 2 was Table 2 Identification tests of the folded coupled patches antennas in free space as well as on the human chest in buildings corridor (recalculated for EIRP = 4 W) Antenna Position in the corridor Read range, free space, m Read range, human chest, m directly excited loop excited on axis at the wall on axis at the wall 6.0 5.6 5.5 5.0 5.5 5.1 4.7 4.3 recalculated for EIRP = 4 W conformable with the European RFID specification. Shorter read range of the loop-excited tag in comparison with the directly-excited tag can be observed. The above mentioned phenomenon can be explained by analysis of the total efficiency of the structure which comprises multiple of the radiation efficiency and the transmission coefficient. In the case of the loop-excited antenna radiation efficiency is sufficiently lower than that of the directly-excited antenna and thus causes a lower value of total efficiency; see Figs. 4 and 7. The lower total efficiency results in lower read range. 6 Fig. 12 Photograph of test configuration a General view b Detail of the person with chest-fixed TAG in 4 m wide corridor 636 Conclusions We have proposed an improved input impedance-flexible on-body semi-electrically small tag antenna with sufficient radiation efficiency for the European UHF RFID frequency band. Loop IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 excitation of the antenna enables the impedance to be tuned to the complex impedance of the RFID chip, and as well as to 50 Ω by changing the structural parameters (loop length) at the expense of small radiation efficiency decrease. Further, we have shown that the simplification of the topology consisting through using a virtual electric wall does not affect the electrical parameters of the radiator. The performance properties of the two feeding configurations were verified with and without a human body phantom in the monopole-type arrangement. The read range tests in corridor were performed in order to evaluate the performance of TAG antennas in real operating conditions. Sufficient radiation efficiency independent on the presence of the phantom consequently read range longer than 4 m were verified. Besides the mentioned radiofrequency identification of people, the presented antennas can be alternatively used for identification of metallic objects (e.g. containers, pallets and racks in stores) or for identification of liquids kept in bottles or canisters. 7 Acknowledgments This work received support from Czech Science Foundation project no. P102/12/P863 and from COST project no. LD 14122 WiPEELMAG, which forms a part of COST project no. IC 1301 WiPE. 8 References 1 Hall, P.S., Yang, H.: ‘Antennas and propagation for body-centric wireless communications’ (Artech House, 2006) 2 Abbasi, Q.H., Sani, A., Alomainy, A., et al.: ‘Numerical characterization and modeling of subject-specific ultrawideband body-centric radio channels and systems for healthcare applications’, IEEE Trans. Inf. Technol. Biomed., 2012, 16, (2), pp. 221–227 3 Volakis, J.L., Chen, C.-C., Fujimoto, K.: ‘Small antennas: miniaturization techniques & applications’ (McGraw-Hill, 2010) 4 Manzari, S., Pettinari, S., Marrocco, G.: ‘Miniaturised wearable UHF-RFID tag with tuning capability’, Electron. Lett., 2012, 48, (21), pp. 1325–1326 5 Occhiuzzi, C., Cippitelli, S., Marrocco, G.: ‘Modeling, design and experimentation of wearable RFID sensor tag’, IEEE Trans. Antennas Propag., 2010, 58, (8), pp. 2490–2498 6 Scarpello, M.L., Kazani, I., Hertleer, C., et al.: ‘Stability and efficiency of screen-printed wearable and washable antennas’, IEEE Antennas Wirel. Propag. Lett., 2012, 11, pp. 838–841 7 Virili, M., Rogier, H., Alimenti, F., et al.: ‘Wearable textile antenna magnetically coupled to flexible active electronic circuits’, IEEE Antennas Wirel. Propag. Lett., 2014, 13, pp. 209–212 8 Svanda, M., Polivka, M., Hudec, P.: ‘Novel low-profile foam dielectric over the shoulder antenna based on coupled patches technique’, Microw. Opt. Technol. Lett., 2013, 55, (3), pp. 593–597 IET Microw. Antennas Propag., 2016, Vol. 10, Iss. 6, pp. 631–637 & The Institution of Engineering and Technology 2016 9 Ivsic, B., Bonefacic, D., Bartolic, J.: ‘Considerations on embroidered textile antennas for wearable applications’, IEEE Antennas Wirel. Propag. Lett., 2013, 12, pp. 1708–1711 10 Koski, K., Sydänheimo, L., Rahmat-Samii, Y., et al.: ‘Fundamental characteristics of electro-textiles in wearable UHF RFID patch antennas for body-centric sensing systems’, IEEE Trans. Antennas Propag., 2014, 62, (12), pp. 6454–6462 11 Wang, Z., Lee, L., Psychoudakis, D., et al.: ‘Embroidered multiband body-worn antenna for GSM/PCS/WLAN communications’, IEEE Trans. Antennas Propag., 2014, 62, (6), pp. 332–3329 12 Marrocco, G.: ‘The art of UHF RFID antenna design: impedance matching and size-reduction techniques’, IEEE Antennas Propag. Mag., 2008, 50, (1), pp. 66–79 13 Ali Babar, A., Björninen, T., Bhagavati, V.A., et al.: ‘Small and flexible metal mountable passive UHF RFID tag on high-dielectric polymer-ceramic composite substrate’, IEEE Antennas Wirel. Propag. Lett., 2012, 11, pp. 1319–1322 14 Son, H.W., Yeo, J., Choi, G.Y., et al.: ‘A low-cost, wideband antenna for passive RFID tags mountable on metallic surfaces’. IEEE Int. Symp. Antennas and Propagation Digest, Albuquerque, NM, 2006, pp. 1019–1022 15 DeJean, R., Li, G., Tentzeris, M.M., et al.: ‘Development and analysis of folded shorted-patch antenna with reduced size’, IEEE Trans. Antennas Propag., 2004, 52, pp. 555–562 16 Lin, K.-H., Chen, S.-H., Mittra, R.: ‘A looped-bowtie RFID tag antenna design for metallic objects’, IEEE Trans. Antennas Propag., 2013, 61, (2), pp. 499–505 17 Peng, H.Y., Yan, L., Lijun, J., et al.: ‘Compact metallic RFID tag antennas with a loop-fed method’, IEEE Trans. Antennas Propag., 2011, 59, (12), pp. 4454–4462 18 Son, H.-W., Jeong, S.-H.: ‘Wideband RFID tag antenna for metallic surfaces using proximity-coupled feed’, IEEE Antennas Wirel. Propag. Lett., 2011, 10, pp. 377–380 19 Mo, L., Qin, Ch.: ‘Planar UHF RFID tag antenna with open stub feed for metallic objects’, IEEE Trans. Antennas Propag., 2010, 58, (9), pp. 3037–3043 20 Faudzi, N.M., Ali, M.T., Ismail, I., et al.: ‘Metal mountable UHF-RFID tag antenna with meander feed line and double T-match’. Proc. Int. Symp. on Technology Management and Emerging Technologies, ISTMET 2014, Bandug, Indonesia, 2014, pp. 33–38 21 Xi, J., Ye, T.T.: ‘Ultra low-profile metal tag antenna design with an emphasis on radiation efficiency’. Proc. IEEE Int. Conf. on RFID, Orlando, USA, 2014, pp. 42–49 22 He, Y., Pan, Z.: ‘Design of UHF RFID broadband anti-metal tag antenna applied on surface of metallic objects’. Proc. IEEE Wireless Communications and Networking Conf., WCNC 2013, Shanghai, China, 2013, pp. 4352–4357 23 Ferro, V., Lul, A., Lucrecio, A.: ‘Small long range UHF TAG for metal applications’. Proc. IEEE Int. Conf. on RFID Technologies and Applications, Johor Bahru, Malaysia, 2013, pp. 1–6 24 Polivka, M., Svanda, M., Hudec, P., et al.: ‘UHF RF identification of people in indoor and open areas’, IEEE Trans. Microw. Theory Tech., SI on Hardware and Integration Challenges of RFIDs, 2009, 57, pp. 1341–1347 25 Svanda, M., Polivka, M.: ‘Two novel extremely low-profile slot-coupled two-element patch antennas for UHF RFID of people’, Microw. Opt. Technol. Lett, 2010, 52, (2), pp. 249–252 26 Svanda, M., Polivka, M.: ‘Novel dual-loop antenna placed over patch array surface for UHF RFID of dielectric and metallic objects’, Microw. Opt. Technol. Lett, 2009, 51, (3), pp. 709–713 27 Svanda, M., Polivka, M.: ‘Small-size wearable high-efficiency TAG antenna for UHF RFID of people’, Int. J. Antennas Propag., special issue Small Antennas: Miniaturization Tech. Appl., 2014, 2014, pp. 1–4 28 Holub, A., Polivka, M.: ‘A novel microstrip patch antenna miniaturization technique: a meanderly folded shorted-patch antenna’. Proc. 14th Conf. on Microwave Techniques, COMITE 2008, Prague, Czech Republic, 2008, pp. 39–42 29 Wheeler, H.A.: ‘The radian sphere around a small antenna’. Proc. of IRE, 1959, pp. 1325–1331 30 Balanis, C.A.: ‘Antenna theory: analysis and design’ (John Wiley & Sons, 1997, 2nd edn.) 637