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<strong>Development</strong> <strong>and</strong> Testing <strong>of</strong> a <strong>10</strong> <strong>GHz</strong><br />

Phased-Array Cylindrical-Antenna<br />

Transmitting System Incorporating a<br />

Least-Squares Radiation-Pattern<br />

Synthesis Technique<br />

Nikolaos c. Athanasopoulos 1 , Konstantinos A. Mourlzoukos 1 , Giorgos E. Stratakos 2 ,<br />

Rodoula J. Makri 1 , <strong>and</strong> Nikolaos K. Uzunoglu 1<br />

1Microwaves & Fiber Optics Laboratory, School <strong>of</strong> Electrical & Computers Engineers<br />

National Technical University <strong>of</strong> Athens<br />

9 Iroon Polytechniou Str. 15773 Zografou, Athens, Greece<br />

Tel: +302<strong>10</strong>7722289; Fax: +302<strong>10</strong>7722291;<br />

E-mail: nathan@esd.ece.ntua.gr.mourtzoukosk@gmail.com. rodia@esd.ece.ntua.gr, nuzu@cc.ece.ntua.gr<br />

2Advanced Microwave Systems Ltd, 2<br />

25th Martiou Str. 1778 Tauros, Athens, Greece<br />

Tel: +30 2<strong>10</strong>4838442; E-mail: y.stratakos@ams-mw.com,<br />

Abstract<br />

This research presents the development <strong>and</strong> <strong>testing</strong> procedures for an experimental <strong>phased</strong>-<strong>array</strong> <strong>cylindrical</strong>-antenna<br />

transmitting system, operating at <strong>10</strong> <strong>GHz</strong>. The antenna-element excitation phases are set at the intermediate-frequency<br />

stage, <strong>and</strong> are determined by using a least-squares radiation-pattern synthesis technique. The antenna-element excitation<br />

amplitudes are taken to be equal <strong>and</strong> fixed. The system provides steerable main lobes <strong>and</strong> nulls at predefined directions,<br />

including control <strong>of</strong> the sidelobes at specified levels. It can be used for communications <strong>and</strong> radar applications with<br />

interference-rejection requirements.<br />

Keywords: Phased <strong>array</strong>s; <strong>cylindrical</strong> <strong>array</strong>s; least squares methods; antenna radiation patterns; pattern synthesis; beam<br />

steering; <strong>array</strong> signal processing<br />

T he<br />

1. Introduction<br />

idea <strong>of</strong> developing antenna <strong>array</strong> systems with electronically<br />

controlled beams was proposed as early as the 1940s [1­<br />

4]. In the last three decades, with the advances in MMIC technology,<br />

<strong>phased</strong>-<strong>array</strong> systems have started to become feasible at a reasonable<br />

cost. This is illustrated by the many solid-state active<br />

<strong>array</strong>s that use MMIC technology that have been deployed or are<br />

under development [5]. The use <strong>of</strong> <strong>phased</strong>-<strong>array</strong> technologies provides<br />

significant benefits compared with conventional mechanically<br />

steered antennas, such as fast searching <strong>of</strong> a given field <strong>of</strong><br />

view, interference-suppression capability, <strong>and</strong> flexible control <strong>of</strong><br />

radiation patterns [6]. Typical <strong>phased</strong> <strong>array</strong>s make use <strong>of</strong> large<br />

numbers <strong>of</strong>elements (several hundred), <strong>and</strong> usually suffer interference.<br />

This condition does not hold true for the case <strong>of</strong>small <strong>phased</strong><br />

<strong>array</strong>s, such as might be used in communication <strong>and</strong> radar applications.<br />

In some antenna applications, planar <strong>array</strong>s have limitations<br />

imposed primarily by the need for introducing an aerodynamic<br />

radome. If <strong>array</strong> elements are allocated over a confonnal surface,<br />

those limitations may ease. Cylindrical <strong>array</strong>s - the most common<br />

type <strong>of</strong> confonnal <strong>array</strong>s - find applications in situations where<br />

wide scanning angles in azimuth are needed, exploiting their azimuthal<br />

symmetry [7]. This benefit has found applications in broadcast<br />

antennas <strong>and</strong> direction-finding antenna systems [8].<br />

This work presents the development <strong>of</strong> a small <strong>phased</strong>-<strong>array</strong><br />

transmitting system <strong>of</strong> <strong>cylindrical</strong> geometry. Since the literature<br />

lacks small <strong>cylindrical</strong> <strong>phased</strong> <strong>array</strong>s, the proposed system can be<br />

considered as a demonstrator. It can be used in short-range communication<br />

<strong>and</strong> radar applications.<br />

In most practical <strong>phased</strong>-<strong>array</strong> systems, RF beamfonning is<br />

implemented with both amplitude <strong>and</strong> phase control <strong>of</strong> the excita-<br />

80 ISSN <strong>10</strong>45-9243120081$25 ©2008 IEEE IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008


tion currents. In this work, beamforming is implemented at the<br />

intermediate-frequency (IF) stage with phase-only control, providing<br />

a faster <strong>and</strong> less complicated approach for beam steering <strong>and</strong><br />

interference rejection. Nevertheless, IF processing introduces phase<br />

unbalance among RF emitted signals, <strong>and</strong> this must be compensated<br />

for.<br />

In Section 2, the development <strong>of</strong> the experimental <strong>phased</strong><br />

<strong>array</strong> is presented. The antenna <strong>array</strong> <strong>and</strong> the IF <strong>and</strong> RF units are<br />

given in detail. In Section 3, the radiation-pattern-synthesis method<br />

used is given. It is based on a least-squares technique adapted to<br />

the system's architecture. In Section 4, excitation amplitudes are<br />

adjusted <strong>and</strong> the phase unbalance among RF emitted signals is<br />

compensated for. Finally, in Section 5, radiation-pattern measurements<br />

are presented for five beamforming scenarios, <strong>and</strong> these are _<br />

l----~----~-----------:-~~j~~-----~----------~-----][~~~~~~~;~~~~-] -~~~;~:~~~]<br />

, I I I<br />

I I I I<br />

: : : e1.#-<strong>10</strong> :<br />

I I,<br />

I<br />

I : TxRx#-5 e1.#-9! I<br />

~------ -- --- --- -------------- -------- ---- ~ :--------------- ------<br />

compared with simulated results. The <strong>cylindrical</strong> <strong>array</strong> gain is cal- Figure 2. A conceptual model <strong>of</strong> the experimental <strong>phased</strong>-<strong>array</strong><br />

culated with the application <strong>of</strong>the Friis transmission equation. antenna system.<br />

2. The Phased-Array<br />

Cylindrical Antenna System<br />

The experimental <strong>phased</strong>-<strong>array</strong> antenna system is presented in<br />

Figure 1. As depicted in the conceptual model <strong>of</strong> Figure 2, the<br />

system was developed in three basic units: the beamforming unit,<br />

the transceivers unit, <strong>and</strong> the antenna-<strong>array</strong> unit. The intermediate-frequency<br />

input signal is divided into 11 individual IF signals<br />

that are phase adjusted through the beamforming unit. These 11 IF<br />

phase-adjusted signals are driven in parallel to the 11 transmitter<br />

modules (numbered Tx-5 to Tx5) <strong>of</strong> the transceivers unit, they<br />

follow up-conversion <strong>and</strong> amplification procedures, <strong>and</strong> finally<br />

they are emitted by the 21-element (numbered from element -<strong>10</strong> to<br />

element <strong>10</strong>) antenna-<strong>array</strong> unit at the <strong>10</strong> <strong>GHz</strong> frequency region.<br />

Each pair <strong>of</strong>adjacent radiators is fed by the same transmitter module,<br />

with the exception <strong>of</strong> the central module (element 0), which is<br />

driven alone by the TxO module. In the subsections that follow, the<br />

individual units <strong>of</strong>the system are described.<br />

2.1 The Antenna-Array Unit<br />

The antenna-<strong>array</strong> unit, originally designed in the framework<br />

<strong>of</strong> the Western European Armament Group (WEAG)-THALES<br />

JP1.03-WEAG program [9-11], is a conformal <strong>array</strong> antenna con-<br />

Figure 3. The antenna-<strong>array</strong> unit.<br />

el.#-2<br />

el.#-1<br />

e1.#O<br />

e1.# 1<br />

e1.#2<br />

Figure 4. A pair <strong>of</strong> adjacent radiating elements.<br />

el.#9<br />

el.#<strong>10</strong><br />

Ground<br />

plane<br />

sisting <strong>of</strong>a series <strong>of</strong>21 microstrip-patch elements. It is printed on a<br />

dielectric substrate <strong>of</strong> Teflon R04003 (G r = 3.38, tan l5 = 0.0018,<br />

thickness 0.51 mm). The whole structure is mounted on a <strong>cylindrical</strong><br />

aluminum surface (with a radius <strong>of</strong> curvature <strong>of</strong> 0.5 m). The<br />

antenna-<strong>array</strong> unit is presented in Figure 3.<br />

The 21 microstrip elements are <strong>of</strong> rectangular shape, with<br />

dimensions L = 7 mm <strong>and</strong> W = 11 mm. The center-to-center spacing<br />

between adjacent radiators is 0.66...1, (where A is the free-space<br />

wavelength at the <strong>10</strong> <strong>GHz</strong> operating frequency), which corresponds<br />

to a 2.25° angular spacing. Each individual radiator is fed through<br />

a coaxial probe, which runs through the aluminum surface <strong>and</strong> the<br />

dielectric substrate, <strong>and</strong> finally touches the surface <strong>of</strong> the element.<br />

Figure 4 presents a pair <strong>of</strong>adjacent radiators. The return loss at the<br />

input <strong>of</strong> each radiator is, on average, -15 dB. The mutual coupling<br />

Figure 1. The experimental <strong>phased</strong>-<strong>array</strong> antenna system. between adjacent radiators when they are excited in-phase is, on<br />

fel::l:: Antennas ana propagation Magazine, Vol. 50, No.6, December 2008 81<br />

I<br />

I


average, -24 dB; for the nonadjacent radiators, this value is significantly<br />

reduced.<br />

2.2 The Transceivers Unit<br />

The transceivers unit consists <strong>of</strong> 11 modules. After being<br />

phase adjusted through the beamforming unit, the 11 IF signals are<br />

introduced in parallel to the transmitting chains <strong>of</strong> the modules at<br />

140 MHz. After being filtered <strong>and</strong> up-converted at 1 <strong>GHz</strong>, they<br />

pass through the appropriate filters <strong>and</strong> are then amplified. The<br />

final up-conversion is at <strong>10</strong> <strong>GHz</strong>, where the signals are filtered <strong>and</strong><br />

amplified. Each one <strong>of</strong> the <strong>10</strong> <strong>GHz</strong> amplified signals is divided by<br />

a power splitter, <strong>and</strong> drives two adjacent radiators <strong>of</strong> the 21-element<br />

antenna <strong>array</strong>_ This means that each module drives two adjacent<br />

radiators, with the exception <strong>of</strong> the central radiator (element<br />

0), setting the reference phase <strong>of</strong> the system. This reference element<br />

is driven by a single module (TxO), as is depicted in the conceptual<br />

model <strong>of</strong> Figure 2. A picture <strong>of</strong> a transceiver module is<br />

shown in Figure 5.<br />

2.3 The Beamforming Unit<br />

The beamforming unit is implemented at the IF stage. In a<br />

personal computer (PC), the operator sets the system's operation<br />

mode (scanning or non-scanning), defines the number <strong>of</strong> active<br />

radiators <strong>of</strong> the 21-element <strong>array</strong> antenna, <strong>and</strong> finally specifies the<br />

desired radiation-pattern characteristics, i.e., the main-lobe <strong>and</strong> null<br />

directions. The operator's environment is presented in Figure 6.<br />

The radiation-pattern specifications that the operator defines<br />

are used to compute the appropriate phase-shift values that must be<br />

set for the 11 IF signals. For that purpose, a least-squares method is<br />

implemented, <strong>and</strong> it will be presented analytically in the next section.<br />

These values are transferred in digital form through an RS232<br />

serial interface to the control subunit, where they are organized in<br />

12-bit digital sequences while the appropriate control <strong>and</strong> synchronization<br />

signals are generated. The 12-bit digital sequences are<br />

driven to the digital-to-analog (D-to-A) conversion subunit. There,<br />

under the guidance <strong>of</strong>control <strong>and</strong> synchronization signals, they are<br />

converted to analog voltages in the range <strong>of</strong> 0-12 V. These analog<br />

Figure 5. A transceiver module <strong>of</strong> the transceivers unit.<br />

~~~:~.~~·;iC u .<br />

,~;;..~", No"-al~;:; q, ;,:~ rif~:-,',:~,',:,;'~~,'r><br />

,-.,;;;~.................·:i; :.":'''' :':/11'<br />

.111 _... ..... ;"=·~:;·r::~<br />

";<strong>of</strong>~ S;i..~f~: ;;;~~~1J-"----<br />

:[:~21<br />

.};~:4t ~.~);: il;l.il \f~;:· ;;,:: ~;. ;~iHEHW<br />

/'1 I ~t~>-, l": 'r, P':\"T<br />

~~~<br />

):;"'i~~ ~ 3J~/~'" /'::t 11,,/:)<br />

Figure 6. The operator environment.<br />

Figure 7. The phase-shifting subunit.<br />

• .• ~ ;:"X~.~<br />

:.. '.;.;::....:;:::'<br />

'I ~:~~~~ :~:~~;=:~sed el96008N1 ~·i;.i:·.':':<br />

~,:;.,;.i'j<br />

voltages are finally driven to the phase-shifting subunit, presented<br />

in Figure 7. It consists <strong>of</strong> 11 channels, one for each IF signal. Two<br />

phase shifters, controlled by the analog voltages in the range <strong>of</strong> 0­<br />

12 V, are connected in series at each IF channel. This covers a total<br />

range <strong>of</strong> -180 0 ~ 180 0 , <strong>and</strong> sets the appropriate phase shift for<br />

each IF path.<br />

3. Phase-Computation <strong>and</strong><br />

Radiation-Pattern Synthesis Technique<br />

The power intensity at the azimuth plane <strong>of</strong> this 21-element<br />

<strong>cylindrical</strong> <strong>array</strong> is expressed in the form [12]<br />

U(¢)=BI:~:f(¢-n~¢)la21<br />

eXP{J 2:R [cos(¢-n~¢)J-La2t (1)<br />

B is a normalization constant, ~t/J is the angular distance between<br />

adjacent elements, R is the radius <strong>of</strong> the cylinder, <strong>and</strong> A is the<br />

wavelength at the frequency <strong>of</strong> operation. In order to achieve a<br />

desired radiation pattern, the nth radiator's phase excitation, La~,<br />

must be appropriately set. In Equation (1), f(t/J-n~t/J) is the<br />

82 IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008


antenna-element pattern, which, for the rectangular microstrip<br />

patch element, is given approximately by [13]<br />

f(¢ -nl1¢) = Ccos(¢-nl1¢)<br />

. [kh cos(¢ - nl1¢)] . [kL sin(¢ - nl1¢)]<br />

SIn SIn<br />

2 2<br />

khcos(¢-nl1¢) kLsin(¢-nl1¢)<br />

2 2<br />

(2)<br />

C is a normalization constant, h is the dielectric substrate thickness,<br />

L is the microstrip radiator's length, <strong>and</strong> k is the wavelength<br />

number.<br />

A least-squares radiation pattern-synthesis technique [14] is<br />

implemented for the appropriate phase computation. According to<br />

this, assume a required power-intensity pattern mask, M (¢), the<br />

shape <strong>of</strong> which is specified based upon the requirements <strong>of</strong> the<br />

main-lobe orientation, the null angles, <strong>and</strong> the sidelobe levels.<br />

Then, a vector <strong>of</strong>phase excitations,<br />

is computed. This will produce a normalized power-intensity pattern,<br />

U0 (¢), in a such way as to minimize the discretized mean-<br />

square difference:<br />

n 2<br />

e 2 = Lluo(l1Jj,(W))-M (l1Jj)1 '<br />

;=1<br />

with n sufficiently large. According to the system architecture, the<br />

excitation phases must be equal for every two adjacent radiators,<br />

with the exception <strong>of</strong> the central radiator. In other words, the following<br />

constraint must be satisfied:<br />

o 0<br />

La-IO = La_9,<br />

The power-intensity pattern-mask function used is described by the<br />

following equation:<br />

¢o is the desired orientation <strong>of</strong> the main beam, <strong>and</strong> ¢I is the<br />

desired position <strong>of</strong> the null. G is the desired null depth, while D is<br />

the desired sidelobe level. l1¢o <strong>and</strong> 11¢I set the width <strong>of</strong> the main<br />

bean <strong>and</strong> null, respectively.<br />

O,¢ E [¢O - t!,.¢o ~ ¢ ~ ¢o + l1¢ol)<br />

M(¢) = G,l1J E [¢I -11¢I ~ ¢ ~ ¢I + 11¢I] .<br />

{<br />

D,¢ E elsewhere<br />

This radiation-pattern synthesis technique <strong>and</strong> the computation<br />

<strong>of</strong> the excitation phases for the corresponding beamforming<br />

scenarios were executed using MathCAD 9 s<strong>of</strong>tware.<br />

(4)<br />

(5)<br />

(6)<br />

4. Calibration Procedures<br />

4.1 Amplitude Adjustments<br />

The beamforming unit computes <strong>and</strong> controls only the phases<br />

<strong>of</strong> the excitation currents to achieve the desired radiation patterns.<br />

This presupposes that amplitudes should be constant. As can be<br />

seen from Figure 8, amplitude variations do not exceed ±0.75 dB<br />

around 11.75 dBm, <strong>and</strong>, as a result, they can be considered to be<br />

constant.<br />

4.2 Phase Calibration<br />

In each transmission channel, the 140 MHz input signal goes<br />

through power divisions, amplifications, <strong>and</strong> up-conversions, as<br />

well as suffering from different cable lengths. All these unavoidable<br />

factors introduce phase <strong>of</strong>fsets among the 21 signals that are<br />

finally emitted at the <strong>10</strong> <strong>GHz</strong> region. This phase <strong>of</strong>fset must be<br />

measured <strong>and</strong> taken into account in the beamforming procedure, so<br />

that the signals have their phase adjusted correctly.<br />

Phase calibration is implemented by the use <strong>of</strong> a "Magic T."<br />

Based on the basic properties <strong>of</strong> the Magic T [15], when two inphase<br />

signals are inserted into Ports 3 <strong>and</strong> 4, respectively, the<br />

Port 1 output signal is maximized. Simultaneously, the Port 2 output<br />

signal is minimized. The system's phase reference (the output<br />

<strong>of</strong>TxO) is connected to Port 3. The Port 1 output drives a spectrum<br />

analyzer, <strong>and</strong> Port 2 is terminated. The outputs <strong>of</strong>the rest <strong>of</strong>the <strong>10</strong><br />

transmitter modules are routed successively to Port 4. For each <strong>of</strong><br />

them, the control voltages <strong>of</strong> the corresponding phase shifters are<br />

manually progressively changed until the power in the spectrum<br />

analyzer becomes maximum. Port I is then terminated <strong>and</strong> Port 2<br />

is input to the spectrum analyzer. If the value is minimum, the two<br />

signals in Ports 3 <strong>and</strong> 4 are in-phase. Analog voltages are translated<br />

to the corresponding phase values, <strong>and</strong> the phase <strong>of</strong>fsets between<br />

the system's reference <strong>and</strong> each <strong>of</strong>the inputs <strong>of</strong>the rest <strong>of</strong>radiating<br />

elements are calculated. The measured phase <strong>of</strong>fset is presented in<br />

Figure 9. It was observed that the phase <strong>of</strong>fset was the same for<br />

every two adjacent radiators. This was due to the fact they were<br />

driven by the same transmitter module.<br />

E l-------tatr---+-~~_+_---llto.............-.4~~--~<br />

en ~ l----~/!---4--+-~H-_t_-------T---<br />

CD<br />

"C<br />

.a ~-----~---lL....--~H-t----------'t-------<br />

=a:<br />

E~<br />

, -._..,-~-~~~ ·_· ·1~·~ · · · ·· ··..· ·..·· _.__ -:<br />

« J...------+-+-~_4+1t+--------~T:;~<br />

-<strong>10</strong> -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 <strong>10</strong><br />

Number <strong>of</strong> antenna element<br />

Figure 8. The amplitudes <strong>of</strong> the signals at the inputs <strong>of</strong> the 21<br />

radiators.<br />

IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008 83


-~---"-_.._._-_._--_ _ !t..,.._ _ _.---'---'---"---' ;<br />

·8 ·7 -6 -5 -4 -3 ·2 -1<br />

.........•..._..&..0# _ , _ _.- _ _ .......--.<br />

Number <strong>of</strong> radiator<br />

Figure 9. The phase <strong>of</strong>fset between <strong>10</strong> <strong>GHz</strong> signals at the<br />

inputs <strong>of</strong> the radiators <strong>and</strong> the system's reference.<br />

5. Radiation Measurements<br />

5.1 Radiation Patterns<br />

The phase excitations <strong>of</strong> the 21 signals that drive the <strong>array</strong><br />

antenna, <strong>and</strong> that are calculated following the least-squares synthesis<br />

technique, are the sum <strong>of</strong>two factors:<br />

T T T<br />

W = WADJ +W CAL '<br />

WIDJ is the vector <strong>of</strong> phases that must be adjusted by the beam­<br />

forming unit, <strong>and</strong> WtAL is the vector <strong>of</strong> the measured phase <strong>of</strong>fset<br />

that is provided by Figure 9. The phases that must be set by the<br />

beamforming unit are then given by<br />

T T T<br />

WADJ = W - WCAL .<br />

The <strong>phased</strong>-<strong>array</strong> transmitting system that was developed was<br />

tested through several beamforming scenarios. An X-b<strong>and</strong> hom<br />

antenna (20 dB gain), with its output going into a spectrum analyzer,<br />

was used as a receiver. The distance between the transmitting<br />

system <strong>and</strong> the receiver was 15.5 m, satisfying the far-field<br />

condition. In the following, azimuth-plane radiation-pattern measurements<br />

are presented for five beamfonning scenarios, <strong>and</strong> are<br />

compared with simulated patterns. In the diagrams, the red lines<br />

correspond to the measurements, whereas the blue lines correspond<br />

to the simulation. For each scenario examined, the calculated phase<br />

excitations, W T , are given in the corresponding tables (Tables 1 to<br />

5).<br />

Table 1. The calculated antenna-element excitation phases with<br />

the main lobe at 0° <strong>and</strong> SLLs < -20 dB.<br />

84<br />

# <strong>of</strong>Radiator W # <strong>of</strong>Radiator W<br />

(7)<br />

(8)<br />

-<strong>10</strong> -4.469° 1 -12.319°<br />

-9 -4.469° 2 -12.319°<br />

-8 139.812° 3 -47.957°<br />

-7 139.812° 4 -47.957°<br />

-6 -115.279° 5 -116.081°<br />

-5 -115.279° 6 -116.081°<br />

-4 -47.154° 7 140.042°<br />

-3 -47.154° 8 140.042°<br />

-2 -11.975° 9 -2.578°<br />

-1 -11.975° <strong>10</strong> -2.578°<br />

0 0° - -<br />

Table 2. The calculated antenna-element excitation phases with<br />

the main lobe at <strong>10</strong>°, SLLs < -20 dB.<br />

# <strong>of</strong> Radiator W # <strong>of</strong> Radiator W<br />

-<strong>10</strong> -51.<strong>10</strong>8° 1 39.591°<br />

-9 -51.<strong>10</strong>8° 2 39.591 °<br />

-8 178.018° 3 78.839°<br />

-7 178.018° 4 78.839°<br />

-6 9.339° 5 85.027°<br />

-5 9.339° 6 85.027°<br />

-4 168.564° 7 50.535°<br />

-3 168.564° 8 50.535°<br />

-2 -68.64° 9 -20.512°<br />

-1 -68.64° <strong>10</strong> -20.512°<br />

0 0° - -<br />

Table 3. The calculated antenna-element excitation phases with<br />

the main lobe at 20°, SLLs < -20 dB.<br />

# <strong>of</strong> Radiator W # <strong>of</strong>Radiator W<br />

-<strong>10</strong> -64.973° 1 <strong>10</strong>3.773°<br />

-9 -64.973° 2 <strong>10</strong>3.773°<br />

-8 -116.425° 3 -144.385°<br />

-7 -116.425° 4 -144.385°<br />

-6 158.892° 5 -62.395°<br />

-5 158.892° 6 -62.395°<br />

-4 35.924° 7 -15.355°<br />

-3 35.924° 8 -15.355°<br />

-2 -122.498° 9 5.099°<br />

-1 -122.498° <strong>10</strong> 5.099°<br />

0 0° - -<br />

Table 4. The calculated antenna-element excitation phases with<br />

the main lobe at 0°, a null at 20°, SLLs < -20 dB.<br />

# <strong>of</strong>Radiator W # <strong>of</strong>Radiator W<br />

-<strong>10</strong> -45.149° 1 -19.022°<br />

-9 -45.149° 2 -19.022°<br />

-8 <strong>10</strong>7.497° 3 -44.863°<br />

-7 <strong>10</strong>7.497° 4 -44.863°<br />

-6 -140.661° 5 -132.582°<br />

-5 -140.661° 6 -132.582°<br />

-4 -70.932° 7 140.443°<br />

-3 -70.932° 8 140.443°<br />

-2 -19.423° 9 -6.875°<br />

-1 -19.423° <strong>10</strong> --6.875°<br />

0 0° - -<br />

IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. SO, No.6, December 2008


- 0 -25 -20 -15 -<strong>10</strong><br />

ph( degrees)<br />

<strong>10</strong> 15 20 25 3<br />

ccl-------.,~---J.-+-::-Hr-+--~~----:~------t<br />

~ :::>1--------."J---~+_____::_9A__+_--_T_J~--_\_--7'i<br />

Figure <strong>10</strong>. The main io6e at Oo~<br />

iii'<br />

~~--'--~~~:""'---~i-+-----+-A-+-+-~----:::!i~<br />

::>~:I:::::...--~,------.::w:~------';~-+--I-----i<br />

phi (degrees)<br />

mJ-----P:---f.S--\---~Ir4_--__4_I~_l_----~<br />

~<br />

::>I-----~+----lt~__+_~~--_+_~_;_----_i<br />

phi (degees)<br />

Figure 12. The main lobe at 20°.<br />

phi (degrees)<br />

Figure 11. The main lobe at <strong>10</strong>°.<br />

-25 -20 -15 -<strong>10</strong> -5<br />

15 18 21 24 27 3D<br />

in L...J.,.--------...-2QL.+----~t:=::~--_____1<br />

"'0<br />

......" 1---~-___J~~--=~ri5-+-----+_-_::__-____j<br />

-----_._--~~---phi<br />

(degrees)<br />

Figure 13. The main lobe at 0° degrees with a null at 20°. Figure 14. The main lobe at <strong>10</strong>° with a null at 16°.<br />

IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008 85


Table 5. The calculated antenna-element excitation phases with<br />

the main lobe at <strong>10</strong>°, a null at 16°, SLLs < -15 dB.<br />

# <strong>of</strong> Radiator W # <strong>of</strong> Radiator W<br />

-<strong>10</strong> -53.113° 1 50.821 °<br />

-9 -53.113° 2 50.821°<br />

-8 145.589° 3 99.981 °<br />

-7 145.589° 4 99.981 °<br />

-6 -19.652° 5 <strong>10</strong>6.284°<br />

-5 -19.652° 6 <strong>10</strong>6.284°<br />

-4 152.006° 7 63.369°<br />

-3 152.006° 8 63.369°<br />

-2 -75.401 ° 9 -18.449°<br />

-1 -75.401° <strong>10</strong> -18.449°<br />

0 0° - -<br />

5.1.1 Main Lobe at 0°, SLLs < -20 dB<br />

The calculated phase excitations for this case are given in<br />

Table 1. It was observed from Figure <strong>10</strong> that the measured pattern<br />

had its maximum in the frontal direction. The sidelobe levels<br />

(SLLs) varied below -15 dB, while the specified levels, having<br />

been fulfilled by the simulated pattern, were -20 dB.<br />

5.1.2 Main Lobe at <strong>10</strong>°, SLLs < -20 dB<br />

The calculated phase excitations for this case are given in<br />

Table 2. Figure 11 shows that the main lobe was steered at <strong>10</strong>°.<br />

Two sidelobes were at about -<strong>10</strong> dB, while the rest <strong>of</strong>the sidelobes<br />

varied around -15 dB. The specified sidelobe levels, having been<br />

fulfilled by the simulated pattern, were -20 dB.<br />

5.1.3 Main Lobe at 20°, SLLs < -20 dB<br />

The calculated phase excitations for this case are given in<br />

Table 3. The main lobe was focused at 20°, as Figure 12 depicts.<br />

The sidelobes varied around -15 dB, while the specified levels<br />

were -20 dB. In the region around -20°, a sidelobe with a level <strong>of</strong><br />

-5 dB appeared, as the simulation predicted.<br />

5.1.4 Main lobe at 0°, Null at 20°,<br />

SLLs < -20 dB<br />

The calculated phase excitations for this case are given in<br />

Table 4. Figure 13 shows that the main lobe was focused on the<br />

frontal direction. A null was placed at 20°, as asked. Its depth was<br />

about -28 dB, while the specified value, having been fulfilled by<br />

the simulated pattern, was -50 dB. The sidelobes varied around the<br />

-15 dB level, while the specified levels, having been fulfilled by<br />

the simulated pattern, were -20 dB.<br />

86<br />

5.1.5 Main lobe at <strong>10</strong>°, Null at 16°,<br />

SLLs < -15 dB<br />

The calculated phase excitations for this case are given in<br />

Table 5. It was observed from Figure 14 that the main lobe was<br />

steered to <strong>10</strong>°, <strong>and</strong> a null was placed at the requested position, 16°.<br />

Its depth was about -21 dB, while the specification, having been<br />

fulfilled by the simulated pattern, was -20 dB. The sidelobes varied<br />

around -15 dB, as was specified <strong>and</strong> was fulfilled by the simulated<br />

pattern.<br />

5.2 Gain Calculation<br />

The gain <strong>of</strong> this 21-element <strong>cylindrical</strong> <strong>array</strong> was computed<br />

using the Friis transmission equation. According to that equation,<br />

the received power that is measured in the spectrum analyzer is<br />

given by [19]<br />

P,. =GARRAr GHORN~ (l-IrARRAl)(l-IrHORN 1 2 )<br />

(4~S )\Vt • PHORNIL. (9)<br />

The gain <strong>of</strong>the <strong>array</strong> in dB is then given by<br />

[ n=lO ( 2)]<br />

(GARRAr)dB=(P")dBm-lOlog n~o~nX l-Irt.l<br />

-lOIOg(l-IrHORNn-(GHORN )dB - 20<strong>10</strong>g( 4~S)<br />

-IOlog(lpt· PHORN/)-(L)dB (<strong>10</strong>)<br />

The power received, p,., in the spectrum analyzer was measured as<br />

-20 dBm. F;n (n = -<strong>10</strong>,...,<strong>10</strong>) is the power that was fed to the 21<br />

radiators <strong>and</strong> arises from Figure 8. r t (n =-<strong>10</strong>,...,<strong>10</strong>) is the<br />

n<br />

return loss at the input <strong>of</strong> each radiator, which, as was already<br />

mentioned in Section 2.1, was -15 dB. r HORN is the return loss at<br />

the input <strong>of</strong> the hom antenna, which was -8 dB, while, as has<br />

already be~n mentioned, the hom antenna's gain was 20 dB. The<br />

free-space losses for the distance 8 = 15.5 m <strong>and</strong> for A = 3cm are<br />

20 <strong>10</strong>g(~) = -76.25 dB.<br />

41£8<br />

(11)<br />

During measurements, it was observed that there were no crosspolarization<br />

phenomena between the 21-element <strong>cylindrical</strong> <strong>array</strong><br />

<strong>and</strong> the hom antenna. As a result <strong>of</strong> that, the factor Ipt· PHORNI<br />

could be ignored in Equation (<strong>10</strong>). Finally, in Equation (<strong>10</strong>) the<br />

factor L represents the losses <strong>of</strong> the coaxial cable that carries the<br />

received signal from the hom antenna to the spectrum analyzer.<br />

These losses were measured as being -3 dB.<br />

Taking into account all the factors involved in Equation (<strong>10</strong>),<br />

the 21-element <strong>cylindrical</strong> <strong>array</strong> gain can be computed as<br />

IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008


(GARRAy);;LINDRlCAL = 14.25 dB.<br />

Assuming now that these 21 radiators were allocated over a planar<br />

surface, the maximum planar <strong>array</strong> gain would ideally be 21 times<br />

the element gain [1 7]. The element gain was measured to be<br />

5.5 dBi, so for this ideal planar-<strong>array</strong> model, the gain would be<br />

PLANAR ()<br />

( GARRAy ) dB =lOlog 21 +5.5=18.72dB.<br />

(12)<br />

(13)<br />

Equation (13), which gives the gain for the planar <strong>array</strong>, is<br />

ideal. If a realistic planar <strong>array</strong> was tested by application <strong>of</strong> the<br />

Friis transmission formula, the <strong>array</strong> gain would be lower than the<br />

ideal value <strong>of</strong> 18.72 dB (Equation (13)). A quantitative comparison<br />

<strong>of</strong> the planar <strong>and</strong> <strong>cylindrical</strong> <strong>array</strong> gain would make sense only if<br />

both <strong>array</strong>s were measured with the same method, <strong>and</strong> the Friis<br />

transmission formula was applied. The purpose <strong>of</strong> the reference to<br />

the planar case in the framework <strong>of</strong>this paper is only qualitative, in<br />

order to show that the radiators that approach the edges <strong>of</strong>the <strong>array</strong><br />

contribute less than the element's maximum power towards the<br />

<strong>array</strong>'s frontal direction.<br />

Finally, from the patterns <strong>of</strong>Figures <strong>10</strong>-12, it can be observed<br />

that the -3 dB beamwidth was 5°, staying constant as the main<br />

beam scanned. Consequently, the <strong>cylindrical</strong>-antenna gain did not<br />

fluctuate within the -20° ~ 20° scanning area.<br />

5.3 Discussion<br />

The measured radiation patterns proved that this <strong>cylindrical</strong><br />

<strong>phased</strong>-<strong>array</strong> antenna system provides steerable main beams at prespecified<br />

~irections, <strong>and</strong> nulls at desired positions, <strong>of</strong> the azimuth<br />

plane. The IF phase control, applying a least-squares pattern-synthesis<br />

technique in combination with phase calibration, gave accurate<br />

results in terms <strong>of</strong>the main-beam <strong>and</strong> null positions. This was<br />

shown by the good agreement between measurements <strong>and</strong> simulations.<br />

On the other h<strong>and</strong>, it was observed that the sidelobe levels<br />

were substantially higher than the desired specifications, about<br />

5 dB to <strong>10</strong> dB above the specifications. The small variation in the<br />

amplitudes <strong>of</strong> the emitted signals (as presented in Figure 8), may<br />

have been a possible reason for this. The mutual coupling among<br />

the radiating elements, which varied as the phase excitations<br />

changed, may also have affected the radiation characteristics in<br />

terms <strong>of</strong>the sidelobe levels.<br />

As mentioned in the introduction, <strong>cylindrical</strong> <strong>array</strong>s find<br />

application in situations where wide scanning angles in azimuth are<br />

needed, exploiting their azimuthal symmetry. In this research, as<br />

the inter-element angular spacing was 2.25°, the 21-element <strong>array</strong><br />

covered a 45° arc <strong>of</strong> the <strong>cylindrical</strong> surface, illuminating only a<br />

sector <strong>of</strong> the azimuthal plane. For the total azimuthal illumination,<br />

eight such 21-element <strong>array</strong>s could be successively allocated on the<br />

<strong>cylindrical</strong> surface, <strong>and</strong> they would create a full ring <strong>array</strong>, which<br />

could be fed by the proposed system. An appropriate commutation<br />

network, that could be incorporated into the RF stage <strong>of</strong> the system,<br />

would feed one 21-element sub<strong>array</strong> each time, illuminating<br />

the corresponding azimuthal sector while the seven remaining 21element<br />

sub<strong>array</strong>s stayed inactive.<br />

IEEE Antennas <strong>and</strong> Propagation MagaZine, Vol. 50, No.6, December 2008<br />

6. Conclusions<br />

The development <strong>of</strong> a <strong>10</strong> <strong>GHz</strong> <strong>cylindrical</strong>-<strong>array</strong> antenna<br />

transmitting system was presented in this study. The system was<br />

measured <strong>and</strong> tested, <strong>and</strong> the radiation patterns achieved were<br />

compared with the simulated patterns. Good agreement in the<br />

comparison showed that the use <strong>of</strong>IF beamforming proved to be an<br />

approach providing stability <strong>and</strong> easy control <strong>of</strong> the radiation patterns.<br />

The system provides radiation patterns with steerable main<br />

lobes, <strong>and</strong> nulls at prespecified positions within the azimuthal<br />

region <strong>of</strong> -20° ~ 20° . The scanning speed <strong>of</strong>the system is 8 JLs. It<br />

can be used in radar <strong>and</strong> communication applications with interference-rejection<br />

requirements. Additionally, its basic properties can<br />

be applied in MIMO communication systems [18, 19]. A MIMO<br />

system has multiple antenna elements at both the transmitter <strong>and</strong><br />

receiver. Those multiple antennas can be used for the transmission<br />

<strong>of</strong> several parallel data streams to increase the capacity <strong>of</strong> the system.<br />

This presupposes the ability to control the excitation <strong>of</strong> the<br />

multiple antennas for both the transmitter <strong>and</strong> the receiver. The<br />

<strong>phased</strong> controlled system that was presented in this research gives<br />

the ability to apply such technology towards confronting non-desirable<br />

effects caused by multipath propagation. Finally, the possibility<br />

<strong>of</strong>using the developed conformal <strong>array</strong> as a focal-plane radiator<br />

in a large reflector antenna is an interesting application that is also<br />

being considered.<br />

7. References<br />

1. M. I. Skolnik, "Survey <strong>of</strong> Phased Array Accomplishments <strong>and</strong><br />

Requirements for Navy Ships," Phased Array Antennas, Norwood,<br />

MA, Artech House Inc., 1972, pp. 15-20.<br />

2. L. N. Ridenour, Radar System Engineering, New York,<br />

McGraw-Hill Book Co., 1947, pp. 219-295.<br />

3. R. A. Smith, Aerials for Metre <strong>and</strong> Decimetre Wave-Lengths,<br />

Cambridge, Cambridge University Press, 1949.<br />

4. A. Price, Instruments <strong>of</strong> Darkness, New York, Charles<br />

Scribner's Sons, 1970.<br />

5. E. Brookner, "Phased Arrays Around the World - Progress <strong>and</strong><br />

Future Trends," IEEE 2003 International Symposium on Phased<br />

Array Systems <strong>and</strong> Technology, Boston, MA, October 2003.<br />

6. Nikoloas Uzunoglu, "Phased Array Radars," in S. Stergiopoulos<br />

(ed.), Advanced Signal Processing H<strong>and</strong>book, First Edition, Boca<br />

Raton, CRC Press, 2000, Chapter 12, Section 12.1, pp. 12-1 - 12-2.<br />

7. M. I. Skolnik, Introduction to Radar Systems, Second Edition,<br />

New York, McGraw-Hill International Editions, 1981, Chapter 8,<br />

Section 8.<strong>10</strong>, pp. 330-331.<br />

8. R. J. Mailloux, Phased Array Antenna H<strong>and</strong>book, Second Edition,<br />

Norwood, MA, Artech House Publishers, 1994, Chapter 4,<br />

Section 4.2, p. 194.<br />

9. N. K. Uzunoglu, D. 1. Kaklamani, G. E. Stratakos, et aI., "On the<br />

<strong>Development</strong> <strong>of</strong> a Conformal Array System," Workshop COST­<br />

260, Dubrovnik, Croatia, December 1997.<br />

87


<strong>10</strong>. N. K. Uzunoglu, D. I. Kaklamani, G. E. Stratakos, et aI.,<br />

"Design <strong>of</strong>a Cylindrically Shaped Confonnal Array System," 28th<br />

European Microwave Conference, Amsterdam, Netherl<strong>and</strong>s, 1998.<br />

11. C. S. Koukourlis~ G. A. Kyriacou, S. G. Mavrides, S. K.<br />

Diamantis, Spyridakis, Th. Kaifas, J. N. Sahalos, G. Stratakos, P.<br />

Tsenes, <strong>and</strong> N. Uzunoglou, "Design <strong>and</strong> <strong>Development</strong> <strong>of</strong>an Active<br />

Printed Cylindrical Antenna Array for Radar Applications," URSI<br />

General Assembly, Maastricht, Netherl<strong>and</strong>s, August 2002.<br />

12. J. Litva <strong>and</strong> T. K.-Y. Lo, Beamforming in Wireless Communications,<br />

Norwood, MA, Artech House Publishers, 1996, Chapter 2,<br />

Section 2.1.3, pp. 17-19.<br />

13. R. Garg, P. Bhartia, I. Bahl <strong>and</strong> A. Ittipiboon, Microstrip<br />

Antenna Design H<strong>and</strong>book, Norwood, MA, Artech House, 2001,<br />

Chapter 4, Section 4.2.2, pp. 257-264.<br />

14. S. Prasad, <strong>and</strong> R. Charan, "On the Constrained Synthesis <strong>of</strong><br />

Array Patterns with Applications to Circular <strong>and</strong> Arc Arrays,"<br />

IEEE Transactions on Antennas <strong>and</strong> Propagation, AP-32, 7, July<br />

1984, pp. 725-730.<br />

15. N. Marcuvitz, Waveguide H<strong>and</strong>book, New York, Dover Publications,<br />

1965, Chapter 7, Section 3-2.<br />

16. C. Balanis, Antenna Theory Analysis <strong>and</strong> Design, Second Edition,<br />

New York, John Wiley & Sons, 1997, Chapter 2, Section<br />

2.17.1, pp. 86-88.<br />

17. R. J. Mailloux, Phased Array Antenna H<strong>and</strong>book, Second Edition,<br />

Norwood, MA, Artech House, 1994, Chapter 2, Section 2.1.2,<br />

p.68-72.<br />

18. M. A. Jensen <strong>and</strong> J. W. Wallace, "A Review <strong>of</strong> Antennas <strong>and</strong><br />

Propagation for MIMO Wireless Communications," IEEE Transactions<br />

on Antennas <strong>and</strong> Propagation, AP-52, II" November<br />

2004 pp. 28<strong>10</strong>-2824.<br />

19. A. F. Molisch <strong>and</strong> M. Z. Win, "MIMO Systems with Antenna<br />

Selection," IEEE Microwave Magazine, March 2004, pp. 46-56. 0!)<br />

88 IEEE Antennas <strong>and</strong> Propagation Magazine, Vol. 50, No.6, December 2008

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