# A Multiband Printed Log-Periodic Dipole Array for Wireless Communications

Authors: Giovanni Andrea Casula; Paolo Maxia
Journal: International Journal of Antennas and Propagation
 (2014)

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## Abstract

A multiband printed Log-periodic dipole array (LPDA) antenna for wireless communications is presented. The antenna has been designed starting from Carrel’s theory, optimized using CST Microwave Studio 2012, and then realized. The comparison between simulated and measured results shows that the proposed antenna can be used for wireless communications both in the S (2.4–3 GHz) and in the C (5.2–5.8 GHz) frequency bands, with very good input matching and a satisfactory end-fire radiation pattern. Moreover, it has a compact size, is very easy to realize, and presents an excellent out-of-band rejection, without the use of stop-band filters, thus avoiding interference out of its operating frequency band.


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## Body

## 1. Introduction

The increasing demands of wireless, and short range, high data rate transmissions, pushed to propose new wireless protocols using different bands of the frequency spectrum, in order to support high data rate wireless communications. This rapid development of short-range radio links in the mobile communications and wireless industry (especially Wi-Fi and wireless local area network (WLAN)) calls for antennas able to operate in different frequency bands simultaneously (multiband antennas), offering wideband operations covering the whole WLAN services. The most common desirable requirement consists of providing multiband operations, and the frequency bands required to a single antenna are 2.4–2.484 GHz for Bluetooth applications, 2.4 GHz and 5 GHz for Wi-Fi applications (following HiperLan protocol), and 2.4 GHz, 5.2 GHz, 5.4 and 5.8 GHz for WLAN applications (following WLAN IEEE 802.11 standards). The demand for antennas offering high performance, compact size, and low cost, besides an easy integration into front-end circuits, suggests the use of printed technologies [1–3]. As a matter of fact, planar antennas are widely used because of their low profiles, easy design, and fabrication. In the design of the planar antennas, the microstrip-fed [4–6] and coplanar waveguide (CPW-) fed [7–10] are the most popular feeding structures adopted in the recent literature. Multifrequency antennas are becoming very important since their use allows the reduction of the numbers of antennas and the meeting of the applications of many different wireless communication systems simultaneously, such as Wireless Local Area Network (WLAN) and IEEE 802.16 Worldwide Interoperability for Microwave Access (WiMAX). A variety of structures for designing multiband WLAN planar antennas have been proposed in recent years [4–12], based on known antenna concepts, but showing either a multiband or a tunable behaviour. Among the available current wireless communication standards, Wi-Fi is nowadays rapidly gaining more and more supporters. The Wi-Fi standard is based on the well-established protocols IEEE 802.11a, 802.11b, and 802.11 g and the emerging 802.11n [13]. The considered operating frequencies are within the industrial, scientific, and medical (ISM) free window: 2.412 and 2.484 GHz (2.45-GHz center frequency and 72-MHz bandwidth) for the 802.11b and 802.11g protocols, 5.170, and 5.805 GHz (5.5-GHz center frequency and 635-MHz bandwidth) for the 802.11a protocol, while the 802.11n protocol employs both frequency bands simultaneously [13, 14].In this work, a multiband printed log-periodic dipole array, working both in the S and in the C frequency bands (from 2.4 to 3 GHz and from 5.2 to 5.8 GHz), which can be used as a multiband antenna for wireless communications, is presented, satisfying the requirements of several wireless communication standards, such as HiperLan, IEEE 802.11 and Bluetooth [13]. The proposed antenna is very easy to realize, is very compact, and presents an excellent out-of-band rejection, without the use of stop-band filters. The designed antenna meets also the requirements of meteorological radars, whose operating frequency bands are 2.7–3.0 GHz for the S-band and 5.4–5.8 GHz for the C-band [1]. Therefore, it can be effectively used also as a feed for reflector antennas in weather radar applications.


## 2. Antenna Design

In this section the design of a high gain feed for wireless communications is presented. As pointed out in Section1, the S- and C-band are the most widely used in wireless communications, and therefore the design of a high gain printed log periodic feed able to work both in S- and C-band is discussed here. The concept of log-periodic printed antennas is applied separately to two different groups of dipoles designed to operate each one in a specific frequency band. The two groups of dipoles have been then connected together, obtaining the configuration shown in Figure 1. The distance d between the two groups of dipoles has subsequently been optimized, aiming for the best input matching of the whole antenna. The final distance d is relatively small, and comparable to the spacing between two adjacent dipoles of the LPDA, resulting in a very compact multiband antenna.S-C band feed layout.LTOT=124mm, LH=8.962 mm. (a) Top view; (b) side view (with feeding and mirror coaxial cables).
(a)
(b)This solution allows the obtaining of a log periodic antenna with a reduced size, operating only in the ranges 2.4–3.0 GHz and 5.2–5.8 GHz, instead of a complete printed LPDA array working between 2.4 and 5.8 GHz.


### 2.1. S-Band and C-Band LPDA Design

The two LPDAs operating, respectively, only in the S-band and only in the C-band have been designed separately, and their geometrical parameters are shown in Table1. For each group of dipoles, the number of dipoles and the scaling factor τ must be defined [15–17]. Even though both parameters can be different for each group of dipoles, as a design rule we choose to use the same values for both groups.Table 1
Geometrical parameters of S-C band printed LPDA.
Dipole
L
n [mm]
W
n [mm]
S
n [mm]
8S-band
18.44
2.87
12.54
7S-band
17.34
2.70
11.79
6S-band
16.30
2.54
11.08
5S-band
15.32
2.39
10.42
4S-band
14.40
2.24
9.79
3S-band
13.54
2.11
9.20
2S-band
12.72
1.98
8.65
1S-band
11.96
1.86
8C-band
7.99
1.50
5.43
7C-band
7.51
1.41
5.10
6C-band
7.06
1.32
4.80
5C-band
6.64
1.25
4.51
4C-band
6.24
1.17
4.24
3C-band
5.86
1.10
3.99
2C-band
5.51
1.03
3.74
1C-band
5.18
0.97The number of dipoles of each group is determined by the design specifications (i.e., the requirements on the frequency bandwidth and the directivity). In our case, for the proposed printed LPDA feed, we require an average directivity of 9 dBi, and therefore, following Carrel [15], we set the log period, τ=Ln+1/Ln, and the spacing factor, σ=Sn/4Ln, of both groups of dipoles to the values τ=0.94 and σ=0.17.The chosen dielectric substrate is the ARLON AD 450, a material developed for high power applications [18], with low losses (dielectric loss tangent δ=0.0035) and a dielectric permittivity εr=4.5. The substrate thickness and metallization are, respectively, h=1.524mm and t=0.070mm. The metal thickness has been chosen to be twice the typical metal thickness of LPDAs (0.035 mm), so as to increase the power level capability of the antenna.The characteristic impedanceZ0 of the printed feeding lines (paired strips) of the two groups of dipoles has been selected in order to obtain easy matching with the employed UT-056 coaxial cables [19]: by choosing Z0=50 Ω, we obtain W=2.8864 mm.The numberN of elements of each group of dipoles is computed by using the expressions given by Carrel [15–17]; starting from the required bandwidths, we get number of dipoles N=8 and aperture angle 2α=5.042°.The lengthsLN,S-Band and LN,C-Band and the widths WN,S-Band and WN,C-Band of the longest dipole of each group (S-band and C-band) have been evaluated using the cut-and-try procedure described in [16, 17], obtaining LN,S-Band=18.444mm, WN,S-Band=2.875 mm, LN,C-Band=7.990mm, and WN,C-Band=1.50 mm.The lengths and widths of the other dipoles of each group are computed by using the well-known expressions for LPDAs [16, 17, 20]:
(1)Ln+1Ln=1τn=1,…,8.
In Figure 2 the simulated reflection coefficient for the group of dipoles designed to work in the S-band is reported, and the input matching is less than −10 dB in the required frequency band 2.4–3 GHz. Figure 3 shows the simulated reflection coefficient for the group of dipoles designed to work in the C-band, and, also in this case, the input matching is less than −10 dB in the required frequency band (5.2–5.8 GHz).Figure 2
S-band dipoles group reflection coefficient and realized gain versus frequency.Figure 3
C-band dipoles group reflection coefficient and realized gain.Figures2 and 3 show also the simulated realized gain GR for the group of dipoles working in the S- and C-band, respectively. In both cases, the realized gain rapidly decreases out of the working bandwidth, while the radiation pattern deteriorates in the same way, showing a higher SLL and a bad front-to-back ratio with respect to the values assumed within the antenna working bandwidth.


### 2.2. Complete Antenna Design

The two groups of dipoles designed in Section2.1 have been connected together, obtaining the configuration shown in Figure 1. The geometrical parameters of the dipoles are reported in Table 1.The value of the distanced between the two groups of dipoles has been chosen so to obtain the best input matching of the whole antenna. The distance d has been optimized using CST Microwave Studio, and the optimal value is equal to only 8.3 mm. This distance is relatively small, and comparable to the spacing between two adjacent dipoles of the LPDA, resulting in a very compact multiband antenna.The starting length of the final terminationLH of the paired strips has been chosen to be equal to one half of the free-space wavelength at the highest operating frequency and then optimized aiming at the best antenna input matching, obtaining the value of LH=7.374 mm.The feeding network selected for the designed antenna consists of a coaxial cable. The outer conductor of the coaxial cable is soldered to the bottom layer of the LPDA, and the inner conductor is connected to the top layer of the antenna using a via-hole inside the substrate. An additional floating mirror coaxial cable, soldered in the top layer of the array, able to improve the antenna performances, has been used (as indicated in Figure1). In fact, the insertion of an additional mirror coaxial cable gives to the antenna significantly better radiation performances, and allows the stabilizing of the phase center, without affecting the antenna input matching [16]. On the other hand, the LPDA could also be fed using a fully planar network, namely a coplanar waveguide [17], solution which allows a more simple realization, and with a low cost, a compact size, and an easier connection with the SMA connector, but handling only low power levels, due to the dielectric breakdown of the air between the metallic strips.


## 2.1. S-Band and C-Band LPDA Design

The two LPDAs operating, respectively, only in the S-band and only in the C-band have been designed separately, and their geometrical parameters are shown in Table1. For each group of dipoles, the number of dipoles and the scaling factor τ must be defined [15–17]. Even though both parameters can be different for each group of dipoles, as a design rule we choose to use the same values for both groups.Table 1
Geometrical parameters of S-C band printed LPDA.
Dipole
L
n [mm]
W
n [mm]
S
n [mm]
8S-band
18.44
2.87
12.54
7S-band
17.34
2.70
11.79
6S-band
16.30
2.54
11.08
5S-band
15.32
2.39
10.42
4S-band
14.40
2.24
9.79
3S-band
13.54
2.11
9.20
2S-band
12.72
1.98
8.65
1S-band
11.96
1.86
8C-band
7.99
1.50
5.43
7C-band
7.51
1.41
5.10
6C-band
7.06
1.32
4.80
5C-band
6.64
1.25
4.51
4C-band
6.24
1.17
4.24
3C-band
5.86
1.10
3.99
2C-band
5.51
1.03
3.74
1C-band
5.18
0.97The number of dipoles of each group is determined by the design specifications (i.e., the requirements on the frequency bandwidth and the directivity). In our case, for the proposed printed LPDA feed, we require an average directivity of 9 dBi, and therefore, following Carrel [15], we set the log period, τ=Ln+1/Ln, and the spacing factor, σ=Sn/4Ln, of both groups of dipoles to the values τ=0.94 and σ=0.17.The chosen dielectric substrate is the ARLON AD 450, a material developed for high power applications [18], with low losses (dielectric loss tangent δ=0.0035) and a dielectric permittivity εr=4.5. The substrate thickness and metallization are, respectively, h=1.524mm and t=0.070mm. The metal thickness has been chosen to be twice the typical metal thickness of LPDAs (0.035 mm), so as to increase the power level capability of the antenna.The characteristic impedanceZ0 of the printed feeding lines (paired strips) of the two groups of dipoles has been selected in order to obtain easy matching with the employed UT-056 coaxial cables [19]: by choosing Z0=50 Ω, we obtain W=2.8864 mm.The numberN of elements of each group of dipoles is computed by using the expressions given by Carrel [15–17]; starting from the required bandwidths, we get number of dipoles N=8 and aperture angle 2α=5.042°.The lengthsLN,S-Band and LN,C-Band and the widths WN,S-Band and WN,C-Band of the longest dipole of each group (S-band and C-band) have been evaluated using the cut-and-try procedure described in [16, 17], obtaining LN,S-Band=18.444mm, WN,S-Band=2.875 mm, LN,C-Band=7.990mm, and WN,C-Band=1.50 mm.The lengths and widths of the other dipoles of each group are computed by using the well-known expressions for LPDAs [16, 17, 20]:
(1)Ln+1Ln=1τn=1,…,8.
In Figure 2 the simulated reflection coefficient for the group of dipoles designed to work in the S-band is reported, and the input matching is less than −10 dB in the required frequency band 2.4–3 GHz. Figure 3 shows the simulated reflection coefficient for the group of dipoles designed to work in the C-band, and, also in this case, the input matching is less than −10 dB in the required frequency band (5.2–5.8 GHz).Figure 2
S-band dipoles group reflection coefficient and realized gain versus frequency.Figure 3
C-band dipoles group reflection coefficient and realized gain.Figures2 and 3 show also the simulated realized gain GR for the group of dipoles working in the S- and C-band, respectively. In both cases, the realized gain rapidly decreases out of the working bandwidth, while the radiation pattern deteriorates in the same way, showing a higher SLL and a bad front-to-back ratio with respect to the values assumed within the antenna working bandwidth.


## 2.2. Complete Antenna Design

The two groups of dipoles designed in Section2.1 have been connected together, obtaining the configuration shown in Figure 1. The geometrical parameters of the dipoles are reported in Table 1.The value of the distanced between the two groups of dipoles has been chosen so to obtain the best input matching of the whole antenna. The distance d has been optimized using CST Microwave Studio, and the optimal value is equal to only 8.3 mm. This distance is relatively small, and comparable to the spacing between two adjacent dipoles of the LPDA, resulting in a very compact multiband antenna.The starting length of the final terminationLH of the paired strips has been chosen to be equal to one half of the free-space wavelength at the highest operating frequency and then optimized aiming at the best antenna input matching, obtaining the value of LH=7.374 mm.The feeding network selected for the designed antenna consists of a coaxial cable. The outer conductor of the coaxial cable is soldered to the bottom layer of the LPDA, and the inner conductor is connected to the top layer of the antenna using a via-hole inside the substrate. An additional floating mirror coaxial cable, soldered in the top layer of the array, able to improve the antenna performances, has been used (as indicated in Figure1). In fact, the insertion of an additional mirror coaxial cable gives to the antenna significantly better radiation performances, and allows the stabilizing of the phase center, without affecting the antenna input matching [16]. On the other hand, the LPDA could also be fed using a fully planar network, namely a coplanar waveguide [17], solution which allows a more simple realization, and with a low cost, a compact size, and an easier connection with the SMA connector, but handling only low power levels, due to the dielectric breakdown of the air between the metallic strips.


## 3. Results

The LPDA, designed in Section2, has been manufactured (see Figure 4) and fully characterized. All the numerical results take into account also the additional floating mirror coaxial cable, positioned in the top layer of the array.Photo of the designed LPDA antenna shown in Figure1: (a) front; (b) back.
(a)
(b)In Figure5 the comparison between the simulated and experimental reflection coefficient for the complete antenna is shown, and the input matching is very satisfactory, being less than −10 dB both in the S- and in the C-band (2.4–3 GHz, 5.2–5.8 GHz). The simulated and measured data are in very good agreement, and the out-of-band rejection is very good, especially considering that no stop-band filters have been used in the antenna design.Figure 5
Magnitude of the reflection coefficient versus frequency for the designed LPDA antenna shown in Figure1.Figure6 reports the frequency behaviour of the realized gain GR for the antenna shown in Figure 1 (both evaluated by CST and measured). The antenna gain has an average value equal to 8.75 dB in the S-band and equal to 9.35 dB in the C-band. On the other hand, it rapidly drops to less than 3 dB out of the working frequency band, confirming the very good out-of-band rejection of the proposed antenna.Figure 6
Realized gain for the designed LPDA antenna shown in Figure1.In Figure7 the simulated E- and H-Plane antenna radiation patterns are shown. The cross-polar component is not shown, since it is always below −35 dB with respect to the copolar component of the radiated field. The radiation pattern shows an end-fire behavior within the design frequency band (2.4–3 GHz and 5.2–5.8 GHz), with a SLL below −27 dB and an F/B ratio above 28 dB, while it deteriorates very rapidly out-of-band, with both a bad SLL and front-to-back ratio. The symmetry of the in-band radiated field is very good both in the E- and in the H-planes, thanks to the additional mirror coaxial cable, soldered in the top layer of the LPDA. Therefore, the proposed LPDA can be successfully used as a multiband antenna for wireless communications.E-Plane and H-Plane radiation pattern of the designed LPDA antenna shown in Figure 1: (a) in-band; (b) out-of-band.
(a)
(b)


## 4. Conclusion

A multiband printed Log-periodic dipole array (LPDA) antenna for wireless communications, covering both the S (2.4–3 GHz) and the C (5.2–5.8 GHz) frequency bands has been presented. The antenna is fed using two coaxial cables, which provide the required broadband input matching, and improve the radiation pattern when compared with an antenna fed with a single coaxial cable. The simulated and measured results are in very good agreement, showing a very good input matching, an end-fire radiation pattern, and an excellent rejection out of its operating frequency band, without the use of stop-band filters, avoiding undesired interference. The antenna realized gain is above 8.75 dB within the working band, decreasing to less than 3 dB in the out-of-band range.



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*Source: 646394-2014-07-15.xml*