Research Article  Open Access
Pracha Osklang, Chuwong Phongcharoenpanich, Prayoot Akkaraekthalin, "Triband Compact Printed Antenna for 2.4/3.5/5 GHz WLAN/WiMAX Applications", International Journal of Antennas and Propagation, vol. 2019, Article ID 8094908, 13 pages, 2019. https://doi.org/10.1155/2019/8094908
Triband Compact Printed Antenna for 2.4/3.5/5 GHz WLAN/WiMAX Applications
Abstract
This research presents a triband compact printed antenna for WLAN and WiMAX applications. The antenna structure consists of a folded open stub, long and short Lshaped strips, and asymmetric trapezoid ground plane. Besides, it is of simple structure and operable in 2.4 GHz and 5 GHz (5.2/5.8 GHz) WLAN and 3.5/5.5 GHz WiMAX bands. The folded open stub and long and short Lshaped strips realize impedance matching at 2.4, 3.5, 5.2, and 5.8 GHz, and the asymmetric trapezoid ground plane finetunes impedance matching at 5.2, 5.5, and 5.8 GHz. In addition, the equivalent circuit model consolidated into lumped elements is also presented to explain its impedance matching characteristics. In this study, simulations were carried out, and a prototype antenna was fabricated and experimented. The simulation and experimental results are in good agreement. Specifically, the simulated and experimental radiation patterns are omnidirectional at 2.4, 3.5, and 5.2 GHz and nearomnidirectional at 5.5 and 5.8 GHz. Furthermore, the simulated and measured antenna gains are 1.269–3.074 dBi and 1.10–2.80 dBi, respectively. Essentially, the triband compact printed antenna covers 2.4 GHz and 5 GHz (5.2/5.8 GHz) WLAN and 3.5/5.5 GHz WiMAX frequency bands and thereby is a good candidate for WLAN/WiMAX applications.
1. Introduction
Recent decades have witnessed increased adoption of wireless communications technologies in a wide variety of applications, including laptop computers, mobile phones, and portable devices. The phenomenon contributes to a rise in demand for compact multiband antennas.
In [1–5], dualband antennas covering 2.4/5.2/5.8 GHz bands were proposed for wireless local area network (WLAN) applications. In [6–24], attempts were made to develop antennas for WLAN/WiMAX applications, including πshaped slotted microstrip antennas with aperturecoupled feed [6], resonator antennas [7–9], dual and multipolarized antennas [10–12], magnetoelectric and magnetic dipole antennas [13, 14], frequencyreconfigurable antennas using PINdiode switch [15–18], metamaterial antennas [19–21], antennas with invertedLshaped radiating elements and parasitic elements in the ground plane [22], antennas with pentagonal ring slot fed at the vertex and Eslip with backfeeding [23], and antenna with bowtie slot in a single metal sheet on top of the flexible substrate [24]. However, these antennas fail to cover the entire WLAN frequency band (2.4/5.2/5.8 GHz).
As a consequence, various techniques have been proposed to further improve antenna coverage encompassing 2.4/5.2/5.8 GHz WLAN and 3.5/5.5 WiMAX bands [25–31], including a rectangular ring and a Sshaped strip connected to the feedline with a crooked Ushaped strip and three straight strips on back side [25], a microstripfed slot with a complimentary stub on a single dielectric medium [26], a Vshaped patch with a rectangular strip on top layer fed by a buried rectangular strip in the middle layer by proximity coupling [27], three strips for radiating elements [28], an asymmetric coplanar strip with a reverse Gshaped slot and a Ushaped open stub [29], two invertedL slots etched on the radiator [30], a small inner rectangular ring and an outer rectangular loop with three slits and double rings and a parasitic strip [31]. Although these antennas could cover 2.4/5.2/5.8 GHz WLAN and 3.5/5.5 GHz WiMAX bands, they suffer from bulkiness and fabrication complexity. In contrast, the proposed triband antenna of this research is compact and of simple structure. Besides, it can efficiently cover 2.4/5.2/5.8 GHz WLAN and 3.5/5.5 GHz WiMAX bands. Table 1 summarizes the aforementioned WLAN/WiMAX antennas and dimensions.

Specifically, this research proposes a WLAN/WiMAX triband compact printed antenna operable in 2.4 GHz and 5 GHz (5.2/5.8 GHz) WLAN and 3.5/5.5 GHz WiMAX bands. The antenna structure consists of a folded open stub, long and short Lshaped strips, and asymmetric trapezoid ground plane. In the study, simulations were carried out using computer simulation technology (CST) microwave studio, and experiments were undertaken using a fabricated prototype antenna. The simulation and experimental results are in good agreement, validating the suitability of the proposed triband antenna for WLAN and WiMAX applications.
The organization of this research is as follows: Section 1 is the introduction. Section 2 details the antenna structure, Section 3 includes the design principle and parametric study, and Section 4 discusses the experimental results and compares simulation and experimental results. The concluding remarks are provided in Section 5.
2. Antenna Structure
Figures 1(a) and 1(b) illustrate the top and side views of the WLAN/WiMAX triband compact printed antenna. The proposed antenna is mounted on the FR4 substrate whose dielectric constant (ε_{r}), loss tangent (tan δ), and thickness (h) are 4.4, 0.02, and 1.6 mm, respectively. The overall size of the triband antenna is 17 × 23.5 × 1.6 mm. The antenna structure consists of 50 Ω coplanar waveguide (CPW) feed, three radiating components (i.e., a folded open stub and long and short Lshaped strips), and asymmetric trapezoid ground plane.
(a)
(b)
The asymmetric trapezoid ground plane is incorporated to finetune impedance matching at 5.2, 5.5, and 5.8 GHz. Table 2 tabulates the optimal dimensions of the proposed WLAN/WiMAX triband compact printed antenna.

3. Design Principle and Parametric Study
3.1. Antenna Design Evolution
In the antenna design evolution, simulations were carried out using CST software by varying dimensions of three radiating components, and the reflection coefficient () was determined. Figure 2 illustrates the evolution of the WLAN/WiMAX triband compact printed antenna. Specifically, in order to achieve the miniaturization of the antenna structure, the open stub in Antenna1 is folded. The folded open stub with coupling gap (Antenna1) was first realized to achieve dual resonant frequencies () at 2.4 and 5.8 GHz. A long strip was then introduced to form a long Lshaped strip (Antenna2) to generate resonance at 3.5 GHz WiMAX frequency. A short strip was next added to form a short Lshaped strip (Antenna3) to achieve the resonant frequency at 5.2 GHz. A triangularshaped strip was incorporated into the existing ground plane to realize the asymmetric trapezoid ground plane (the proposed antenna) to finetune impedance matching at the upper frequency band, i.e., 5.2, 5.5, and 5.8 GHz.
In the parametric study of the antenna, the dimensions of a folded open stub, long and short Lshaped strips, and asymmetric trapezoid ground plane were varied and the reflection coefficient () was determined, as shown in Sections 3.2 and 3.3.
3.2. Radiating Elements: Folded Open Stub, Long LShaped Strip, and Short LShaped Strip
The basic structure of the proposed antenna consists of a folded open stub and long and short Lshaped strips, as shown in Figures 3(a)–3(c). Based on criteria, Figures 4(a)–4(c), respectively, illustrate the simulated of Antenna1, Antenna2, and Antenna3. Figure 4(a) shows the simulated of Antenna1 (folded open stub) under variable folded open stub widths (): 4.4, 5.3, 6.2, and 7.1 mm. The folded open stub achieves two resonant frequencies, and both resonant frequencies shift to higher frequency bands as increases. The result indicates that 6.2 mm is the optimal because of resonance proximity to 2.4 GHz (2.417–2.576 GHz; first resonance at 2.496 GHz) and 5.8 GHz (5.483–6.362 GHz; second resonance at 5.808 GHz) WLAN bands.
(a)
(b)
(c)
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In Figure 4(b), the length of the long Lshaped strip (L_{b}) in Antenna2 (folded open stub and long Lshaped strip components) is varied between 9.45, 11.45, 13.45, and 15.45 mm. The simulated indicates that the optimal L_{b} is 13.45 mm with the resonant frequency at 3.496 GHz (3.356–3.663), near the 3.5 GHz WiMAX band. In Figure 4(c), the length of the short Lshaped strip (L_{c}) is varied between 5.84, 6.42, 7, and 7.58 mm. The simulated shows that, given L_{c} = 7 mm, Antenna3 (folded open stub and long and short Lshaped strips) realizes four resonances at 2.432, 3.496, 5.067, and 5.698 GHz, with the corresponding frequency bands of 2.387–2.474, 3.361–3.647, 4.884–5.332, and 5.467–6.060 GHz. The optimal L_{c} is thus 7 mm, given the proximity of the 5.067 GHz resonant frequency to 5.2 GHz WLAN band.
In addition, the overall length of the folded open stub (L_{a1} + L_{a2} + L_{a3}) at 2.4 GHz WLAN frequency is about a quarter wavelength (31.25 mm). Besides, the coupling gap in the folded open stub enables frequency resonance at 5.8 GHz. Similarly, the overall length of the long Lshaped strip (L_{b} + (L_{s} − W_{c} − ) + W_{s}) at 3.5 GHz WiMAX frequency is approximately a quarter wavelength (21.43 mm). The entire length of the short Lshaped strip (L_{s} + L_{c}) at 5.2 GHz WLAN frequency is around a quarter wavelength (14.42 mm), as shown in Figures 3(a)–3(c).
3.3. Trapezoid Ground Plane
To improve impedance matching at the upper frequency band (i.e., 5.2, 5.5, and 5.8 GHz), a triangularshaped strip was incorporated into the existing ground plane to realize the asymmetric trapezoid ground plane (proposed antenna), as shown in Figure 5(a). The slope of the triangularshaped strip (L_{g1}) of the trapezoid ground plane is varied between 3, 4.3, 5.6, and 6.9 mm. The simulated shows that, given L_{g1} = 5.6 mm, the asymmetric trapezoid ground plane achieves four resonances and is able to finetune impedance matching in the 4.976–6.998 GHz frequency range, covering 2.397–2.485 GHz (first resonance at 2.440 GHz), 3.398–3.718 GHz (second resonance at 3.544 GHz), 4.976–6.998 GHz (third and fourth resonances at 5.226 GHz and 5.776 GHz), as shown in Figure 5(b).
(a)
(b)
3.4. Input Impedance on the Smith Chart
With the theoretical formulation of the input impedance characteristics, the expression for the input impedance of the CPW equivalent lossless transmission line can be expressed as [32]where Z_{L} is the input impedance of the antenna, R_{0} is the characteristic impedance of the CPW transmission line, β is the phase constant, and l is the length of the transmission line.
The normalized input impedance on the Smith chart whose standing wave ratio (SWR) is 2 is equivalent to . Figure 6(a) depicts the simulated at various stages of antenna evolution, from Antenna1, Antenna2, and Antenna3, to WLAN/WiMAX triband antenna.
(a)
(b)
(c)
(d)
(e)
In Figure 6(b), Antenna1 is operable in 2.417–2.576 and 5.483–6.362 GHz frequency bands, with the first and second resonances at 2.496 and 5.808 GHz, respectively, corresponding to Figure 6(a). In Figure 6(c), Antenna2 covers three frequency bands: 2.394–2.487 GHz (first resonance at 2.440 GHz), 3.356–3.663 GHz (second resonance at 3.496 GHz), and 5.534–6.334 GHz (third resonance at 5.768 GHz), corresponding to Figure 6(a).
In Figure 6(d), Antenna3 achieves four resonant frequencies: 2.432 GHz for 2.387–2.474 GHz frequency band, 3.496 GHz for 3.361–3.647 GHz band, 5.067 GHz for 4.884–5.332 GHz band, and 5.698 GHz for 5.467–6.060 GHz band, consistent with Figure 6(a). In Figure 6(e), the proposed WLAN/WiMAX triband antenna covers three frequency bands with four resonances: 2.397–2.485 GHz (first resonance at 2.440 GHz), 3.398–3.718 GHz (second resonance at 3.544 GHz), and 4.976–6.998 GHz (third and fourth resonances at 5.226 and 5.776 GHz), thus covering 2.4/5.2/5.8 GHz WLAN and 3.5/5.5 GHz WiMAX bands.
3.5. Equivalent Circuit Model
The matching network topologies used in several antennas are equivalent circuit models [33–35]. For instance, the multiinput multioutput (MIMO) antenna system with nonresonant elements used LC components for matching the low and highfrequency range [33], while the monopole antennas are designed as series or parallel RLC components or a combination of series and parallels, which are based on the CPW model [34, 35].
To discuss the relation between the triband frequency operation and input impedance properties of each antenna element, the equivalent circuit model is built, as shown in Figure 7. The corresponding equivalent circuit model consists of a parallel RLC, series RLC, parallel LC, series LC, and parallel RC resonant circuit. The values of equivalent circuit elements can be calculated [36], and the optimized values will be subsequently determined.
The resonant frequency can be calculated using the following equation:where the −3 dB bandwidth (BW) for the series resonant circuit is given byand the bandwidth for the parallel resonant circuit can be determined from
The initial values of R, L, and C can be calculated by using (2)–(4). The equivalent circuit model is built, and the optimized values of lumped elements can be calculated using Agilent Advanced Design System (ADS) software package. Figure 7 illustrates the equivalent lumpedelement electrical model of the proposed antenna consisting of four stages: first (short Lshaped strip) is connected with the second stage (long Lshaped strip) in series and the third stage (folded open stub), and then a coupling capacitor (C_{c}) is connected with the fourth stage (asymmetric trapezoid ground plane) in series.
In Figure 7, a series RLC (R_{s1}, L_{s1}, C_{s1}), a parallel RLC (R_{p1}, L_{p1}, C_{p1}), and a parallel RC (R_{pa1}, C_{pa1}) are connected in parallel at the first stage, which are responsible for generating the current mainly flowing along a short Lshaped strip, in which the parallel and series resonant circuits will achieve the resonant frequency at 5.2 GHz, corresponding to the surface current distribution shown in Figure 8(c).
(a)
(b)
(c)
(d)
(e)
At the second stage, a parallel RLC (R_{p2}, L_{p2}, C_{p2}) is connected in series with the first stage, for producing the current along a long Lshaped strip, in which the parallel and series resonant circuits will achieve the resonant frequency at 3.5 GHz, corresponding to the surface current distribution shown in Figure 8(b).
At the third stage, a parallel RLC resonant circuit (R_{p3}, L_{p3}, C_{p3}) is in parallel with a combination of a parallel LC (L_{pa1}, C_{pa2}) and a series capacitor (C_{s2}). Then, this circuit is connected with a series LC (L_{s2}, C_{s3}) for creating the current flowing along the folded open stub. These parallel and series resonant circuits yield the resonant frequency at 2.4 and 5.8 GHz, corresponding to the surface current distribution in Figures 8(a) and 8(e).
In addition, at the fourth stage (asymmetric trapezoid ground plane), a coupling capacitor (C_{c}) is connected in series with a parallel RLC (R_{p4}, L_{p4}, C_{p4}) and a parallel RLC (R_{p5}, L_{p5}, C_{p5}) with a parallel LC circuit (L_{pa2}, C_{pa3}), corresponding to the surface current concentrated along the edge of the trapezoid ground plane at the frequency of 5.2, 5.5, and 5.8 GHz as shown in Figures 8(c)–8(e), respectively. The optimized lumpedelement values are given in Table 3.

In Figures 9(a)–9(c), the CST simulated and calculated input impedance and of the equivalent lumpedelement circuit are compared. The result shows that the CST simulations and calculations of the equivalent circuit are in good agreement. In particular, is identical to the resonance existing between the two curves as shown in Figure 9(c).
(a)
(b)
(c)
3.6. Current Distribution
Figures 8(a)–8(e), respectively, illustrate the CST simulated surface current distribution of the WLAN/WiMAX triband compact printed antenna at 2.4, 3.5, 5.2, 5.5, and 5.8 GHz. The results reveal that, at 2.4 and 5.8 GHz, the surface current is concentrated along the folded open stub. At 3.5 GHz, the surface current is concentrated on the long Lshaped strip, while the concentration of surface current is noticeably high on the short Lshaped strip at 5.2 GHz. At 5.5 GHz, the surface current is concentrated around the folded open stub and short Lshaped strip.
In particular, at 5.2, 5.5, and 5.8 GHz, the surface current is concentrated along the edge of the trapezoid ground plane, thereby finetuning impedance matching of the upper frequency bands. In essence, the triband characteristic of the antenna is a collective function of the folded open stub, long and short Lshaped strips, and asymmetric trapezoid ground plane.
4. Results and Discussion
A prototype of the WLAN/WiMAX triband compact printed antenna was fabricated, as shown inFigure10, and experiments were then carried out. Figure 11 compares the simulated and experimental of the proposed triband antenna relative to frequency, using an Agilent HP8720C vector network analyzer. The antenna prototype achieves triple frequency bands: 2.29–2.59 GHz, 3.37–3.75 GHz, and 4.85–6.23 GHz, with . In the figure, the simulated and measured results are in good agreement.
Figures 12(a)–12(e), respectively, illustrate the farfield simulated and measured radiation patterns at 2.4, 3.5, 5.2, 5.5, and 5.8 GHz. The simulated and measured copolarized (copol) radiation patterns in the xz (azimuth plane) and yz planes (elevation plane) are omnidirectional at 2.4, 3.5, and 5.2 GHz and nearomnidirectional at 5.5 and 5.8 GHz. The simulated and measured results are in good agreement. The differences between the simulated copolarization and cross polarization (xpol) in the xz plane are 9, 22, 5, 10, and 13 dB at 2.4, 3.5, 5.2, 5.5, and 5.8 GHz, respectively, which is due mainly to an asymmetric structure of the antenna. However, the crosspolarization level is 22 dB relatively lower than the copolarization level at 3.5 GHz.
(a)
(b)
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(e)
Figures 13(a)–13(e) illustrate the simulated and measured gains of the WLAN/WiMAX triband compact printed antenna at 2.4, 3.5, 5.2, 5.5, and 5.8 GHz, respectively, and Table 4 compares the simulated and measured antenna gains. The results show good agreement between simulated and measured results. However, there exist small discrepancies between the simulated and measured antenna gains, which is attributable to fabrication tolerance, experimental setting, and antenna material losses.
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(e)

5. Conclusion
This research proposed a WLAN/WiMAX triband compact printed antenna using a folded open stub, long and short Lshaped strips, and asymmetric trapezoid ground plane. The triband antenna is of simple structure and operable in 2.4 GHz, 5 GHz (5.2/5.8 GHz) WLAN and 3.5/5.5 GHz WiMAX bands. The folded open stub achieves resonant frequencies at 2.4 and 5.8 GHz, and the long and short Lshaped strips at 3.5 GHz and 5.2 GHz, respectively. The asymmetric trapezoid ground plane is incorporated to finetune impedance matching at 5.2, 5.5, and 5.8 GHz. The equivalent lumpedelement circuit of the proposed antenna was also studied and validated, which exhibits triband resonant characteristics. Simulations were carried out, an antenna prototype fabricated, and experiments undertaken. The simulated and experimental farfield radiation pattern of the triband antenna is omnidirectional at 2.4, 3.5, and 5.2 GHz and nearomnidirectional at 5.5 and 5.8 GHz. The simulated and measured antenna gains are 1.269–3.074 dBi and 1.10–2.80 dBi, respectively. The simulation and experimental results are in good agreement. Essentially, the proposed triband compact printed antenna covers 2.4 GHz, 5 GHz (5.2/5.8 GHz) WLAN, and (3.5/5.5 GHz) WiMAX frequency bands and therefore possesses high potential for WLAN/WiMAX applications.
Data Availability
The data used to support the findings of this study are available from the corresponding author upon request.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
Acknowledgments
This work has been supported by the Thailand Research Fund through the TRF Senior Research Scholar Program with Grant no. RTA6080008. The authors would like to express their deep gratitude to the Faculty of Technical Education, Rajamangala University of Technology Isan Khonkaen Campus, and to the Antenna and Electromagnetic Applications Research Laboratory, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand.
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Copyright
Copyright © 2019 Pracha Osklang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.