# Time-Domain Characterization of Dual Band Spiral Antenna with WMTS/UWB Application

Authors: Saira Joseph; Sunil Jacob; Binu Paul; Shanta Mridula; Pezholil Mohanan
Journal: International Journal of Antennas and Propagation
 (2017)

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## Abstract

A coplanar waveguide- (CPW-) fed spiral antenna with dual band application is presented. The antenna is designed to operate over the UWB (3.1–10.6 GHz) band as well as in a lower band suitable for WMTS (1.395–1.4 GHz). Frequency domain characterization shows that the antenna is well matched with appreciable gain in both bands. Time-domain studies are carried out to check the suitability of the antenna in pulsed communication. A prototype of the antenna is fabricated and measured results show low group delay variation in the UWB. FWHM and ringing of antenna impulse response, fidelity factor, and radiated power spectral density are also presented.


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## Body

## 1. Introduction

Over the past decade, there is a great demand for permission to transmit large bandwidth concurrent with existing narrowband signals. In 2002, the FCC decided to permit use of Ultrawide Band (UWB) systems. UWB systems are unique in their large instantaneous bandwidth from 3.1 to 10.6 GHz and potential for low-cost digital design that enables a single system to operate in different modes as a communications device, radar, and so forth. The addition of more and more features in each new generation communication system demands universal antennas suitable for operation in multiple bands. In this regard, designing a multiband antenna which also covers the UWB range is of high interest [1–3]. Typically, narrowband antennas are described in the frequency domain. But UWB systems are often realized in an impulse-based technology, and therefore the time-domain effects and properties have to be known as well.In [4], a spanner-shaped UWB antenna with meandered strip is presented for integrated GSM 1800/Bluetooth operation. A PIN diode is used as a switch to control the length of the meandered strip to obtain desired lower band operation. In [5], a UWB slot antenna with three additional lower bands suitable for GPS, GSM, and Bluetooth operation is developed using inverted U-shaped strips. The antenna is compact, but gain is very low at the lower bands. In [6], also, a highly compact UWB antenna incorporating GPS, GSM, and WLAN bands is presented. However, in all antennas, time-domain studies are limited to the evaluation of group delay only. The antenna effects on the signal transmission needs to be analyzed by considering the envelope of the transient response. The transient response can be measured by direct time-domain measurements or by a frequency domain measurement followed by Fourier Transformation [7].This paper presents time-domain characterization of a coplanar waveguide- (CPW-) fed spiral antenna for dual band operation. CPW-feed technique is a popular choice due to its inherent properties such as wide bandwidth [8], ease of integration with monolithic microwave integrated circuits (MMICs), and compact size. The orientation of the spiral monopole with respect to the CPW-feed line is such that its outermost turn is similar to the periphery of a simple circular monopole. This results in UWB operation. The turns of the spiral behave as a ring resonator and, by introducing shorting strips between the arms of the spiral, a lower band with operation frequency suitable for Wireless Mobile Telecommunication Services (WMTS) is also obtained resulting in dual band operation. The antenna is designed on Rogers substrate of relative permittivity 2.2 and thickness 0.79 mm and since it operates in UWB application band emphasis is given to time-domain characteristics. Simulation studies are carried out using Ansys HFSS™ software and are in good agreement with measured results.


## 2. Antenna Geometry and Frequency Domain Experimental Results

The antenna is printed on a substrate of relative permittivityϵr=2.2 and thickness h = 0.79 mm. The spiral consists of two complete turns of metal strips of width Ws with uniform spacing gs between the turns. The CPW-feed line is designed for 50 Ω impedance with width Wf with spacing g from the ground plane. The truncated ground on either side of the feed line is of length Lg and width Wg. The monopole has a spacing s from the ground plane and the overall size of the antenna is 38.6 × 38 mm2. The geometry of the proposed antenna is shown in Figure 1.Figure 1
Geometry of the proposed antenna.A small section of the ground plane of sizeRW × RL is cut away near the feed line to improve matching at higher frequencies. The spiral is asymmetrically oriented with respect to the feed line such that its outermost turn with radius r mimics the outer edge of a simple circular monopole [9] and results in UWB operation. The length of the longer arm of the spiral monopole is designed using the regression equation(1)SL≈-28.12f1-6.02ϵr-1.91h+178.43,where f1 is the resonance frequency of the lower band.The spiral monopole with two shorting strips between its turns results in a lower band suitable for WMTS application. One strip is placed at a distanceP along the length of the spiral monopole from feed line and it has a width t. The position of this shorting strip determines the resonance frequency of the lower band. This is evident from the current distribution shown in Figure 2.Figure 2
Current distribution of the proposed antenna at 1.4 GHz.At 1.4 GHz, the current distribution shows that the shorting strip alters the flow of current on the outer turn of the spiral. The path created by the shorting strip creates a quarter wave distribution along the lower portion of the inner turn and results in linear polarization. By placing a second shorting strip of the same width at the inner end of the spiral, improved impedance matching is obtained in the UWB without disturbing the first resonance. The optimized design parameters of the antenna areW = 38.6 mm, L = 38 mm, Lg = 12.3 mm, Wg = 15.4 mm, RL = 2.6 mm, RW = 1 mm, Wf = 6.9 mm, g = 0.48 mm, s = 0.48 mm, gs = 1.83 mm, Ws = 2.44 mm, r=13 mm, P = 17 mm, and t = 2.44 mm. A prototype of the antenna is fabricated on Rogers RT/duroid 5880 substrate and tested using Agilent PNA 8362B network analyzer.Measured reflection characteristics are compared with simulation results and shown in Figure3. Simulated and measured values are in good agreement. There is a mismatch in readings at higher frequencies but this can be attributed to soldering effects that have not been accounted for in simulation studies. The antenna operating frequency ranges are 1.35–1.52 GHz and 3.1–11 GHz for S11 ≤ −10 dB. Though the antenna exhibits sufficient impedance matching at the intended operating frequencies, it is important to have sufficient gain and stable radiation patterns.Figure 3
Measured and simulated reflection characteristics of the proposed antenna.At first resonance and lower frequencies of the UWB, a doughnut pattern is observed in theX-Z plane with almost nondirectional pattern in theX-Y plane. At upper end of the UWB, the pattern is slightly distorted due to the excitation of higher order modes in the monopole but still has nearly nondirectional characteristics inX-Y plane throughout the operating range.The peak gain measured using two-antenna method [10] is shown in Figure 4.Figure 4
Measured peak gain of the proposed antenna.The antenna has a peak gain of 7.5 dBi at 1.4 GHz. Within the UWB range, gain is steady with a peak value of 5.2 dBi.


## 3. Time-Domain Characterization

In UWB systems used for impulse radio, a series of unmodulated pulses are used for communication and each pulse carries one symbol of information. The pulse input to the antenna system has an extremely large bandwidth and, hence, any variation in group delay across the passband of the transmitted pulse is likely to distort the pulse. A nondistorting antenna geometry is characterized by a constant group delay [11]. To evaluate the group delay, two antennas with identical radiation characteristics are placed 15 cm apart in three different orientations: face to face, face to side, and side to side and measured results are shown in Figure 5.Figure 5
Measured group delay of the proposed antenna for different orientations.Group delay variation for face-to-face and face-to-side orientations is within an acceptable limit of 1 ns. In side-to-side orientation the group delay variation occasionally exceeds 2 ns.In order to evaluate transient response of the antenna, first frequency domain measurements are done by modeling the antennas as a Linear Time Invariant (LTI) system. A pair of the antennas under test are placed ensuring that they are separated by far field distanceR corresponding to the lowest frequency of operation as shown in Figure 6.Figure 6
Measurement setup for time-domain response.One antenna is used as a transmitter while the other antenna is used as receiver. This UWB channel can be modeled as shown in Figure7.Figure 7
UWB system channel model.The frequency domain relation between received voltage pulseURx(ω,r,θ,φ) and incident electric field pulse E→rad(ω,r,θ,φ)[7] is(2)URxω,r,θ,φzc=H→Rxω,θ,φE→radω,r,θ,φz0,where zc and z0 are characteristic impedance of the antenna port and free space. The transfer function of the receiving antenna H→Rxω,θ,φ is a function of the direction of arrival of the incident field pulse.The frequency domain relation between transmitted electric field pulseE→rad(ω,r,θ,φ) and incident voltage pulse UTx(ω,r,θ,φ) is(3)E→radω,r,θ,φz0=H→Txω,θ,φe-jωr/crUTxω,r,θ,φzc,(4)whereH→Txω,θ,φ=jω2πcH→Rxω,θ,φ.Substituting (3) in (2)(5)URxω,r,θ,φzc=H→Rxω,θ,φH→Txω,θ,φe-jωr/crUTxω,r,θ,φzc.Now the whole input to output characteristic is given as(6)S21=URxω,r,θ,φUTxω,r,θ,φ=H→Rxω,θ,φH→Txω,θ,φe-jωr/cr.Substituting (4) in (6), transfer function of the antenna can be determined from the measured values of S21 using the relation(7)H→Rxω,θ,φ=2πcrS21ejωR/cjω,where c is free space velocity.Measurement is performed for different spatial orientations of the two antennas in azimuth plane. The impulse response of the antenna is obtained by taking the inverse Fourier transform of the transfer function.The envelope of the impulse response localizes the distribution of energy versus time and hence is a direct measure for the dispersion of an antenna. The envelope width describes the broadening of the radiated impulse and is characterized by the full width of magnitude of the envelope at half maximum (FWHM). The variation in amplitude of the impulse response indicates ringing and the duration of the ringing is defined as the time period over which the envelope has fallen from the peak value to −13 dB of the peak. Measured values of FWHM and ringing of the proposed antenna for different azimuth angles are quite low as shown in Table1.Table 1
Measured FWHM and ringing of antenna impulse response for varying azimuth angles.
Azimuth angle
FWHM (ps)
Ringing (ps)
Φ
=
0
°
202
274
Φ
=
45
°
190
267
Φ
=
90
°
166
115
Φ
=
135
°
220
474
Φ
=
180
°
186
131
Φ
=
225
°
201
228
Φ
=
270
°
161
371
Φ
=
315
°
185
436The FCC constrains the radiated power spectral density of UWB systems to −41.3 dBm/MHz. In impulse radio, the signal that represents a symbol consists of a pulse with a very low duty cycle. The pulse can be any function which satisfies the spectral mask regulatory requirements. Higher order derivatives of the Gaussian pulse [12] are found to provide a better match to the required emission mask. As the order of the derivative pulse increases, energy moves to higher frequencies. A common choice of the UWB input pulse waveform is the fourth-order Gaussian pulse and is used in the time-domain characterization of the proposed antenna. The pulse is of the form(8)VGt=12σ4+48σ6t-12+16σ8t-14e-t-1/σ2,where σ is a pulse parameter and is taken to be 67 ps to conform to the FCC limits.For a UWB system, the received pulse is required to match the input pulse with minimum distortions because the pulse carries useful information. To examine the time-domain characteristic of the antenna, the incident pulse spectrum is multiplied by the normalized antenna transfer function. Then an inverse Fourier transform is performed to obtain time-domain response of the output waveform at the receiving antenna terminal. The normalized received pulses for three different orientations are shown in Figure8.Figure 8
Comparison of input and received pulses of the proposed antenna for different orientations.The degree of correlation between the input and received pulses is evaluated using the fidelity factor [13] (9)FF=max⁡∫sitsot-τdτ∫si2tdt∫so2tdt.Fidelity factor values obtained in the azimuth plane are plotted in Figure 9 and they are consistently above 0.9 which shows very good matching between input and received pulses.Figure 9
Measured fidelity factor of the proposed antenna in azimuth plane.UWB systems may cause interference to other wireless systems since they operate over a large frequency range, which covers many bands being used. Thus, the emission limit is a crucial consideration for the design of UWB antennas.According to FCC regulations, UWB systems must comply with stringent emission limits in the frequency band of operation. Radiated power spectral density of the antenna is plotted in Figure10.Figure 10
Power spectral density of the radiated pulse for the proposed antenna against the FCC emission mask.Within the frequency range from 3.1 to 10.6 GHz the radiated power of the proposed antenna is compliant with both the indoor and outdoor limits imposed by the FCC which confirms their suitability for UWB applications. A photograph of the fabricated antenna is shown in Figure11.Figure 11
Prototype of antenna fabricated on Rogers RT/duroid 5880 substrate.


## 4. Conclusion

A compact CPW-fed spiral antenna for dual band applications is presented. The operating bands are suitable for WMTS and UWB applications. Good impedance matching and stable gain across the operating bands make the antenna a good candidate for wireless communication devices. To check the suitability of the antenna for pulsed communication in UWB systems, time-domain characterization is also performed. Measured results show that the antenna has low pulse distortion with a fidelity factor consistently above 0.9 in the azimuth plane. The antenna radiated power spectral density is also within the limits specified by FCC.



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*Source: 2301751-2017-03-12.xml*