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International Journal of Wireless & Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 
DESIGN AND PERFORMANCE EVALUATION OF 
TWO-UNIT YAGI-UDA ARRAY FOR UHF SATELLITE 
COMMUNICATION 
Rupesh Lad1, Pritesh Chhajed2, Lokeshsingh Bais3, Shyam Dahiwal4, Sukhada Saoji5, 
Vaibhav Rekhate6, Pushkar Chaudhari7, Shimoli Shinde8, Ketan Chitale9, Anjali 
Mondhe10 and Shreyas Kulkarni11 
College of Engineering Pune, Pune, India 
ABSTRACT 
Cube satellite missions perform innovative scientific experiments on a low cost developmental platform but 
have an inherent limitation of size and space. This restricts the total available solar power that can be 
harnessed and as a result, the radio links operate on stringent power budgets. For improving the available 
margins for communication in such satellites, it is desirable to improve upon the antenna system 
performance at the ground station used for the establishment of the links with the satellite. This can be 
achieved by improving the forward gain, the forward to backward ratio and the directivity of the antenna. 
This paper describes the electrical simulations and the performance evaluation of the one unit, two unit and 
four unit circularly polarized crossed Yagi-Uda antenna array designed for communication with amateur 
radio (HAM) satellites operating over the 434 MHz to 438 MHz Amateur UHF band. The electro-magnetic 
model has been developed using the 4NEC2 software. The simulations have been validated with the 
practical field testing performed for estimating the SWR, antenna gain, the forward to backward ratio and 
radiation pattern for the antenna system. 
KEYWORDS 
Array Antenna, polarization, radiation pattern, stacking distance, UHF antenna, Yagi-Uda 
1. INTRODUCTION 
Amateur cube satellites orbiting in Low Earth Orbit are categorized as pico satellites, nano 
satellites based upon their size. Smaller the size of these cubesats, lesser is the power generation 
capacity and thus lesser is the power of telemetry signals transmitted from such satellites. 
Communication with such small cube satellites requires the establishment of an efficient ground 
system. The performance of the system can be greatly increased by developing a high gain, 
directional antenna. A specific gain is associated with each type of antenna based upon its 
structure. A half wave dipole antenna has a nominal gain of about 2.14 dBi. It is omnidirectional 
antenna and thus it has low directivity. When the reflectors and directors are added to the dipole 
antenna, its gain starts increasing with each director. But the gain gets saturated at about 15 dBi, 
with number of directors equal to 11 [1]. For further increase in the gain, a number of antennas 
can be coupled together using proper impedance matching network. Horn antennas and parabolic 
dish antennas have very high directionality but there lie structural constraints and incompatibility 
with the antenna rotator system. 
DOI : 10.5121/ijwmn.2014.6512 145
International Journal of Wireless & Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 
146 
2. ANTENNA DESIGN 
2.1. Polarization of ground station antenna 
Elliptical polarization is the most general form of polarization. The loss due to mismatch between 
polarization of transmitting and receiving antenna is given by 
( )
g g g g b T R 
4 + (1- )(1- ) cos2 
(1+ )(1+ ) 
1 
+ 
2 
2 
1 
Loss =10 log 
2 
R 
2 
T 
2 
R 
2 
T 
10 g g 
(1) 
Where, is Axial ratio of transmitting antenna, is Axial ratio of receiving antenna and is 
polarization mismatch angle [2]. 
Small satellites are equipped with linearly polarized dipole antenna transmitting linearly polarized 
electro-magnetic waves [3]. This linearly polarized wave undergo Faradays rotation as it travels 
across the space, hence the state of polarization received on the Earth cannot be predicted. 
Theoretically the polarization loss between the two linearly polarized antennas varies from 0dB to 
infinite loss depending upon the angle of mismatch given by
(cos2 ) 
1 
1 
+ 
2 
2 
1 
Loss(dB) = 10 log10 
b 
(2) 
The maximum loss between linear and circularly polarized antenna obtained after substituting 
values in (1) is 3dB [2]. A crossed Yagi antenna reduces the losses due to polarization mismatch. 
2.2. Gain of Antenna 
The satellite downlink power budgets are very stringent and operates with link margin of about 
2dB. Thus to have a large link margin the gain of antenna needs to be more than 15 dBi. To 
receive and extract information from the weak signals arriving at the Earth from satellites, the 
power of signal must exceed the sensitivity of the receiver and the signal to noise ratio (SNR) 
needs to be sufficiently higher. Both the objectives of achieving power and SNR can be fulfilled 
by amplifying the received signals using an antenna and low noise amplifier. High gain antennas 
also have very high directionality thus the antenna rotator system was needed to direct the main 
lobe of radiation pattern towards the satellite. The Yeasu G5500TM antenna rotor assembly [4] is 
mounted on the Antenna mast which elevates the antenna by 2 meters from the roof top. 
2.3. Antenna modeling in 4NEC2 
Simulations for various parameters and dimensions of antenna is carried out in 4NEC2X software 
which works on Numerical Electromagnetic Codes [5]. It uses method of moments to find out 
numerical solutions to the integral equation of induced current in metallic structure. 
A circularly polarized cross Yagi [6] was simulated to achieve maximum gain at frequency of 
437.025MHz and the corresponding wavelength is 0.6864m. The resonating length of a dipole 
antenna is half of wavelength which is 0.3432m. Yagi antennas are derived from half wave dipole 
antennas [7] with reflector and directors added to increase directivity and gain in a specific
International Journal of Wireless  Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 
direction. The length of reflector is greater than driven element and the lengths of successive 
directors go on decreasing. The cross Yagi as shown in Fig. 1 are further derived from the Yagi 
antennas 
Boom is the important part of antenna support assembly but it is also an unintended radiating part 
of antenna. It is generally preferred to electrically insulate the elements and the conducting boom. 
Presence of conducting boom close to the elements of antenna shortens the electrical length of 
antenna [8]. Due to this the bandwidth of antenna shifts to higher frequencies. Thus the physical 
lengths of elements are added with boom correction length which makes it slightly larger than the 
simulated lengths. Boom correction help to improve the performance of antenna with respect to 
standing wave ratio (SWR) and gain on the frequency band for which it is designed. The 
dimensions of the cross Yagi elements are as mentioned in Table I. 
147 
Figure 1. A 2 unit array of Cross Yagi Antenna with elements labelled 
The circularly polarized cross Yagi antenna simulated with the above dimensions have a 
gain of about 15.5dBi and HPBW of 32o. The gain could be further increased by using 
multiple such antenna and coupling those together [9]. 
Table 1. Dimensions of antenna elements. 
Elements Length 
(in metres) 
Spacing from driven element 
(in metres) 
Reflector R1, R1’ 0.3892 -0.126 
Driven elements D0, D0’ 0.3492 0 
D1, D1’ 0.310 0.085 
D2, D2’ 0.306 0.171 
D3, D3’ 0.3022 0.342
International Journal of Wireless  Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 
148 
D4, D4’ 0.2988 0.504 
D5, D5’ 0.2954 0.674 
D6, D6’ 0.2918 0.884 
D7, D7’ 0.2885 1.164 
D8, D8’ 0.285 1.474 
D9, D9’ 0.2816 1.744 
D10, D10’ 0.278 2.014 
D11, D11’ 0.2744 2.284 
An array of units of antennas has a narrower beam width, and hence higher gain than one single 
antenna. The maximum achievable gain could be N times greater than one unit fed with same 
power if there are N units in an array. Stacking distance is a function of half 
power beam width (HPBW) of individual antenna of an array. The optimum stacking distance for 
maximum gain is given by, 

 
	 
l 
S = opt 
 
f
2 
 
2sin 
(3) 
Where is half power beam width of individual antenna unit [1]. The signals from antennas are 
combined together and fed to low noise amplifier for further amplification. 
The effective gain of an antenna array depends upon the stacking distance between the units of 
antenna. The optimum stacking distance for 2 unit array antenna obtained from (3) is 1.8. The 
stacking distance was varied from 0.5 to 3 and the graph of gain vs stacking distance is shown 
in Fig. 2. It was observed that the gain is maximum at stacking distance of 1.68 and on further 
increase in stacking distance no significant change in gain is observed. Hence the stacking 
distance of 1.68 i.e. 1.13m is optimum for the present configuration. 
Simulations were carried out for 2 unit and 4 unit array using 4NEC2 software and the results are 
summarized in Table II. Although the primary objective was to build a High gain antenna the 
losses due to coaxial cables and connectors also have to be considered. The gain obtained from 4 
unit cross Yagi antenna is increased but at a cost of physical stability of structure. 
Figure 2. Gain as a function of Stacking distance for 2 unit array antenna
International Journal of Wireless  Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 
149 
Table 2. Comparison between antennas 
Parameter Cross Yagi antenna 2 unit array antenna 4 unit array antenna 
Gain 15.5 dBi 18.6 dBi 20.9 dBi 
SWR 2.8 2.78 1.49 
HPBW 32° 32° 16° 
Front to Back ratio 21.35 21.86 18.36 
Cable loss 0.5dB 1 dB 2dB 
Connector loss 0.22dB 0.44 dB 0.88dB 
It is observed that 2 unit array antenna provides higher gain than single cross Yagi antenna and 
the losses are lesser than 4 unit array antenna. The simulated radiation patterns of 2 unit array 
antenna are as shown in Fig. 3 and Fig. 4 
Figure 3. Simulated Horizontal Plane Radiation Pattern

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Design and Performance Evaluation of a Two-Unit Yagi-Uda Array Antenna

  • 1. International Journal of Wireless & Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 DESIGN AND PERFORMANCE EVALUATION OF TWO-UNIT YAGI-UDA ARRAY FOR UHF SATELLITE COMMUNICATION Rupesh Lad1, Pritesh Chhajed2, Lokeshsingh Bais3, Shyam Dahiwal4, Sukhada Saoji5, Vaibhav Rekhate6, Pushkar Chaudhari7, Shimoli Shinde8, Ketan Chitale9, Anjali Mondhe10 and Shreyas Kulkarni11 College of Engineering Pune, Pune, India ABSTRACT Cube satellite missions perform innovative scientific experiments on a low cost developmental platform but have an inherent limitation of size and space. This restricts the total available solar power that can be harnessed and as a result, the radio links operate on stringent power budgets. For improving the available margins for communication in such satellites, it is desirable to improve upon the antenna system performance at the ground station used for the establishment of the links with the satellite. This can be achieved by improving the forward gain, the forward to backward ratio and the directivity of the antenna. This paper describes the electrical simulations and the performance evaluation of the one unit, two unit and four unit circularly polarized crossed Yagi-Uda antenna array designed for communication with amateur radio (HAM) satellites operating over the 434 MHz to 438 MHz Amateur UHF band. The electro-magnetic model has been developed using the 4NEC2 software. The simulations have been validated with the practical field testing performed for estimating the SWR, antenna gain, the forward to backward ratio and radiation pattern for the antenna system. KEYWORDS Array Antenna, polarization, radiation pattern, stacking distance, UHF antenna, Yagi-Uda 1. INTRODUCTION Amateur cube satellites orbiting in Low Earth Orbit are categorized as pico satellites, nano satellites based upon their size. Smaller the size of these cubesats, lesser is the power generation capacity and thus lesser is the power of telemetry signals transmitted from such satellites. Communication with such small cube satellites requires the establishment of an efficient ground system. The performance of the system can be greatly increased by developing a high gain, directional antenna. A specific gain is associated with each type of antenna based upon its structure. A half wave dipole antenna has a nominal gain of about 2.14 dBi. It is omnidirectional antenna and thus it has low directivity. When the reflectors and directors are added to the dipole antenna, its gain starts increasing with each director. But the gain gets saturated at about 15 dBi, with number of directors equal to 11 [1]. For further increase in the gain, a number of antennas can be coupled together using proper impedance matching network. Horn antennas and parabolic dish antennas have very high directionality but there lie structural constraints and incompatibility with the antenna rotator system. DOI : 10.5121/ijwmn.2014.6512 145
  • 2. International Journal of Wireless & Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 146 2. ANTENNA DESIGN 2.1. Polarization of ground station antenna Elliptical polarization is the most general form of polarization. The loss due to mismatch between polarization of transmitting and receiving antenna is given by ( )
  • 3. g g g g b T R 4 + (1- )(1- ) cos2 (1+ )(1+ ) 1 + 2 2 1 Loss =10 log 2 R 2 T 2 R 2 T 10 g g (1) Where, is Axial ratio of transmitting antenna, is Axial ratio of receiving antenna and is polarization mismatch angle [2]. Small satellites are equipped with linearly polarized dipole antenna transmitting linearly polarized electro-magnetic waves [3]. This linearly polarized wave undergo Faradays rotation as it travels across the space, hence the state of polarization received on the Earth cannot be predicted. Theoretically the polarization loss between the two linearly polarized antennas varies from 0dB to infinite loss depending upon the angle of mismatch given by
  • 4. (cos2 ) 1 1 + 2 2 1 Loss(dB) = 10 log10 b (2) The maximum loss between linear and circularly polarized antenna obtained after substituting values in (1) is 3dB [2]. A crossed Yagi antenna reduces the losses due to polarization mismatch. 2.2. Gain of Antenna The satellite downlink power budgets are very stringent and operates with link margin of about 2dB. Thus to have a large link margin the gain of antenna needs to be more than 15 dBi. To receive and extract information from the weak signals arriving at the Earth from satellites, the power of signal must exceed the sensitivity of the receiver and the signal to noise ratio (SNR) needs to be sufficiently higher. Both the objectives of achieving power and SNR can be fulfilled by amplifying the received signals using an antenna and low noise amplifier. High gain antennas also have very high directionality thus the antenna rotator system was needed to direct the main lobe of radiation pattern towards the satellite. The Yeasu G5500TM antenna rotor assembly [4] is mounted on the Antenna mast which elevates the antenna by 2 meters from the roof top. 2.3. Antenna modeling in 4NEC2 Simulations for various parameters and dimensions of antenna is carried out in 4NEC2X software which works on Numerical Electromagnetic Codes [5]. It uses method of moments to find out numerical solutions to the integral equation of induced current in metallic structure. A circularly polarized cross Yagi [6] was simulated to achieve maximum gain at frequency of 437.025MHz and the corresponding wavelength is 0.6864m. The resonating length of a dipole antenna is half of wavelength which is 0.3432m. Yagi antennas are derived from half wave dipole antennas [7] with reflector and directors added to increase directivity and gain in a specific
  • 5. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 direction. The length of reflector is greater than driven element and the lengths of successive directors go on decreasing. The cross Yagi as shown in Fig. 1 are further derived from the Yagi antennas Boom is the important part of antenna support assembly but it is also an unintended radiating part of antenna. It is generally preferred to electrically insulate the elements and the conducting boom. Presence of conducting boom close to the elements of antenna shortens the electrical length of antenna [8]. Due to this the bandwidth of antenna shifts to higher frequencies. Thus the physical lengths of elements are added with boom correction length which makes it slightly larger than the simulated lengths. Boom correction help to improve the performance of antenna with respect to standing wave ratio (SWR) and gain on the frequency band for which it is designed. The dimensions of the cross Yagi elements are as mentioned in Table I. 147 Figure 1. A 2 unit array of Cross Yagi Antenna with elements labelled The circularly polarized cross Yagi antenna simulated with the above dimensions have a gain of about 15.5dBi and HPBW of 32o. The gain could be further increased by using multiple such antenna and coupling those together [9]. Table 1. Dimensions of antenna elements. Elements Length (in metres) Spacing from driven element (in metres) Reflector R1, R1’ 0.3892 -0.126 Driven elements D0, D0’ 0.3492 0 D1, D1’ 0.310 0.085 D2, D2’ 0.306 0.171 D3, D3’ 0.3022 0.342
  • 6. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 148 D4, D4’ 0.2988 0.504 D5, D5’ 0.2954 0.674 D6, D6’ 0.2918 0.884 D7, D7’ 0.2885 1.164 D8, D8’ 0.285 1.474 D9, D9’ 0.2816 1.744 D10, D10’ 0.278 2.014 D11, D11’ 0.2744 2.284 An array of units of antennas has a narrower beam width, and hence higher gain than one single antenna. The maximum achievable gain could be N times greater than one unit fed with same power if there are N units in an array. Stacking distance is a function of half power beam width (HPBW) of individual antenna of an array. The optimum stacking distance for maximum gain is given by, l S = opt f
  • 7. 2 2sin (3) Where is half power beam width of individual antenna unit [1]. The signals from antennas are combined together and fed to low noise amplifier for further amplification. The effective gain of an antenna array depends upon the stacking distance between the units of antenna. The optimum stacking distance for 2 unit array antenna obtained from (3) is 1.8. The stacking distance was varied from 0.5 to 3 and the graph of gain vs stacking distance is shown in Fig. 2. It was observed that the gain is maximum at stacking distance of 1.68 and on further increase in stacking distance no significant change in gain is observed. Hence the stacking distance of 1.68 i.e. 1.13m is optimum for the present configuration. Simulations were carried out for 2 unit and 4 unit array using 4NEC2 software and the results are summarized in Table II. Although the primary objective was to build a High gain antenna the losses due to coaxial cables and connectors also have to be considered. The gain obtained from 4 unit cross Yagi antenna is increased but at a cost of physical stability of structure. Figure 2. Gain as a function of Stacking distance for 2 unit array antenna
  • 8. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 149 Table 2. Comparison between antennas Parameter Cross Yagi antenna 2 unit array antenna 4 unit array antenna Gain 15.5 dBi 18.6 dBi 20.9 dBi SWR 2.8 2.78 1.49 HPBW 32° 32° 16° Front to Back ratio 21.35 21.86 18.36 Cable loss 0.5dB 1 dB 2dB Connector loss 0.22dB 0.44 dB 0.88dB It is observed that 2 unit array antenna provides higher gain than single cross Yagi antenna and the losses are lesser than 4 unit array antenna. The simulated radiation patterns of 2 unit array antenna are as shown in Fig. 3 and Fig. 4 Figure 3. Simulated Horizontal Plane Radiation Pattern
  • 9. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 150 Figure 4. Simulated Vertical Plane Radiation Pattern 3. FIELD TEST The validation of these simulated results is important and is obtained by carrying out various field tests. The 2 unit array antenna is constructed with the simulated dimensions and was mounted on antenna rotor system. A transmitter kept in line of sight and at same height as that of antenna, transmitted a fixed amount of power which was received by Antenna assembly and was measured on Spectrum Analyzer [10]. The antenna was then rotated in horizontal plane and also for different elevation angle. The power received was recorded for each angle and radiation patterns were obtained practically. Figure 5. Observed Horizontal Plane Radiation Pattern
  • 10. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 151 Figure 6. Observed Vertical Plane Radiation Pattern Presence of metallic bodies in reactive field [11] of antenna contributes to its output parameters and radiation pattern. The physical construction of antenna is such that it avoids use of unintended radiating part in its reactive field region. Use of metallic structure to mount 2 individual units of antenna would have introduced an unintended metallic element hence PVC pipe was used to mount the 2 units on Rotor system thus the practically obtained results are very close to the ones simulated. The SWR of an antenna can be lowered using matching network [12]-[14] once the antenna is physically constructed hence the gain was given more importance while simulating the antenna. The impedance matching was done using stubs of coaxial cables and with help of smith chart calculations. The SWR of antenna at 437.025MHz was 2.78 in simulations but the SWR after impedance matching is 1.13 as observed using Vector Network Analyzer [15]. The SWR is lesser than 1.2 for amateur radio satellites frequency range of 434MHz to 438MHz with a gain of 17 dBi. Figure 7. Observed SWR plot as a function of Frequency
  • 11. International Journal of Wireless Mobile Networks (IJWMN) Vol. 6, No. 5, October 2014 152 4. CONCLUSION The patterns obtained and the field tests are in good congruence with the model developed. Large number of iterative simulations carried out resulted into a comparison of antennas and their performance parameters. Mutual coupling and matching network lowered down the SWR which was high in simulations resulting into high gain and matched antenna. Successful communication links have been practically established with existing amateur radio satellites thus establishing the performance of this antenna. ACKNOWLEDGEMENTS This work is sponsored by College of Engineering, Pune under the Swayam Satellite project. The authors acknowledge the valuable inputs of faculty of Electronics and Telecommunication department and HAM club VU2COE. Authors thank Shri. Pramod Kale for his deep insights in radio and satellite communication. Authors thank Dr. A. D. Sahasrabudhe, Hon. Director of COEP and Dr. M. Y. Khaladkar for their constant motivation and support to the Swayam project. REFERENCES. [1] P. Swallow, “Practical VHF/UHF antennas”, in Radio communication handbook, 11th ed. London, UK: The Radio Society of Great Britian, ch. 16. [2] T. K. Ishii, Handbook of Microwave Technology, Hill and Smith, Volume 2, ch. 7, pp. 176-177. [3] P. Chaudhari et al., Performance optimization of a 1-U satellite antenna, in Proc. of 64th International Astronautical Congress, Beijing, China, Sept 2013. [4] Yeasu G5500 Antenna Azimuth Elevation Rotator and Controller Operating Manual, Yeasu Musen Co., Ltd., 1998. [5] Numerical electomagnetic code (NEC-l),NEC User's guide, Lawrence Livermore Laboratory, 1977. [6] C. A. Balanis, Antenna Theory Analysis and Design, John Willey Sons, inc, New York, Chichecter, Brisbane, Toronto, Singapore, 2003 [7] R. K. Shevgaonkar, “Antennas”, in Electromagnetic Waves, New Delhi, India: Tata McGraw-Hill, 2006, ch. 8. [8] D. Dragoslav, “Boom distance influence on yagi antenna”, in Antennex, Issue 148, Serbia, August 2009. [9] M. Pingle, B. Pingle, S. Deosarkar, Mutual coupling in arrays and its effect on 435 MHz 4- element Yagi-Uda antennas in array configurations, in Proc. of International Conference on Recent Advances in Microwave Theory and Applications, Jaipur, Nov 2008; pp. 818-820. [10] RS FSH Handheld Spectrum Analyzers Operating Manual, Rohde Schwarz, pp. 2.20-2.23. [11] A. W. Rudge, Handbook of Antenna Design, Volume 1, pp. 12-14. [12] D. Jefferies, Single stub matching of transmission lines to loads, [Online] Available: http://personal.ee.surrey.ac.uk/Personal/D.Jefferies/jefferies-stub.html [13] J. Staples, Impedance matching and smith charts, Available: http://uspas.fnal.gov/materials/08UCSC/mml13_matching+smith_chart.pdf [14] R. K. Shevgaonkar, “Transmission Lines”, in Electromagnetic Waves, New Delhi, India: Tata McGraw-Hill, 2006, ch. 2. [15] Performing Amplifier Measurements with the Vector Network Analyzer ZVB, Rohde Schwarz, pp. 3-7.