A scheme for modifying the spacing between the bands of the Sierpinski antenna is introduced. Experimental results of two novel designs of fractal antennas suggest that the fractal structure can be perturbed to enable the log-period to be changed while still maintaining the multiband behaviour of the antenna.Peer ReviewedPostprint (published version

Bartolomé, R

Pous Andrés, Rafael

Puente Baliarda, Carles

Romeu Robert, Jordi

Electronics Letters

English

UPCommons. Portal del coneixement obert de la UPC

In the first case, one input of the analyser is used to process the filter output node and the other constitutes the additional observa- tion point. Obviously, this point has to be judiciously chosen to be able to obtain an increase in fault coverage. So, the two analyser inputs are connected to (i) the output node of the fdter and (ii) the output node of the op-amp differential stage as shown in Fig. 2. The HSPICE fault simulations show that in this situation, only one fault is not detected. The corresponding fault coverage is equal to: FC,, (V,,, and V&) = 97.9%. 1 Salien -key filter I “0” t T C  A 5  Fig. 3 Mixed voltuge/current testing In the second case, one input of the analyser is used to process the filter output and the other to observe the supply current. Since the analyser is designed for voltage integration, an additional sub- circuit is required to provide a voltage V,,, which is an image of the supply current I, of the CUT. The two analyser inputs are then connected to (i) the output node V,,, of the filter and (ii) the output node V,, of the I-V converter. as illustrated in Fig. 3. The I-V converter we use is based on work related in [7] to the area of current sensor development. Fault simulation results show that this structure allows us to detect 47 of the 48 faults for the filter. The resulting fault coverage is equal to: FC,, (E,, and I,> = So in both cases, we can observe a significant increase in the fault coverage achieved when compared to a classical time-domain analysis: from 85.4% up to 97.9%. This improvement in circuit testability is achieved while maintaining a reasonable area over- head since a single opamp is required to build the analogue signa- ture. Furthermore, it has to be emphasised that usually, when using signature analysis techniques, the problem is to minimise the number of error masking phenomena in order to obtain a fault coverage as close as possible to the fault coverage achieved by an external test. With the multiple-input analogue analyser, not only can we partially overcome aliasing problems by introducing redun- dancy, but also we gain an improvement in fault coverage. This solution consequently goes beyond the classical objectives of sig- nature analysis techniques. 97.9%. Conclusion: Based on the use of the integration function as an analogue compaction technique, we have proposed a system for deriving a signature for analogue circuits. A signature analyser can therefore be defined and easily implemented using an on-chip op- amp-based integrator. This permits us to replace the hard-to-man- age external monitoring of a continuous time-varying response by a simple single-shot analogue measurement. Furthermore, the abil- ity of our multiple-input analyser to concurrently monitor differ- ent internal test points allows us to partly overcome the aliasing problem and to improve circuit testability. It is shown that by using multiple-node voltage testing, we can drastically increase the fault coverage achieved for a Sallen-key filter. Also, it is shown that our system allows the implementation of concurrent control of both voltage and current levels, thus allowing us to fully profit from the complementarity between voltage and I,, test techniques. 0 IEE 1996 4 October I996 Electronics Letters Online No: 19961511 M. Renovell, F. Azals and Y. Bertrand (Laboratoire d’lnformatique, Robotique et MicroClectronique de Montpellier (LIRMM), UMR 55506, UniversitC de Montpellier IUCNRS, 161, Rue Ada, 34392 Montpellier Cedex 5, France) References ABRAMOVICI, M., BRAUER, M.A., and FRIEDMAN, A.D.: ‘Digital systems testing and testable designs’ (Computer Science Press, New York, 1995) RAJSKI, J., and TYSZER, J.: ‘The analysis of digital integrators for test response compaction’, IEEE Trans. Circuits Syst. 11, 1992, pp. OHLETZ, M.J.: ‘Hybrid built-in self-test (HBIST) for mixed analogue/ digital integrated circuits’. Proc. European Test Conf., 1991, pp. 307-3 16 NAGI, N., CHATTERJEE, A., and ABRAHAM, J.A.: ‘A signature analyzer for analog and mixed-signal circuits’. Proc. Int. Conf. Cornput.- Aided-Des., 1994, pp. 286287 BELL, I.M., CAMPLIN, D.A., TAYLOR, G.E., and BANNISTER, B.R.: ‘Supply current testing of mixed analogue and digital ICs’, Electron. Lett., 1991, 27, (17). pp. 1581-1583 MACHADO DA SILVA, J., MATOS, JS., BELL, I.M., and TAYLOR, G.E.: ‘Cross correlation between I,, and V,,, signals for testing analog circuits’, Electron. Lett., 1995, 31, (19), pp. 1617-1618 ROCA, M., and RUBIO, A.: ‘Self testing CMOS operational amplifier’, Electron. Lett., 1992, 28, (5), pp. 1452-1454 293-301 Perturbation of the Sierpinski antenna to allocate operating bands C .  Puente, J. Romeu, R .  Bartolemi: and R. Pous Indexing terms: Antennas, Fractals, Antenna arrays A scheme for modifying the spacing between the bands of the Sierpinslu antenna is introduced. Experimental results of two novel designs of fractal antennas suggest that the fractal structure can be perturbed to enable the log-period to be changed while stiU maintaining the multiband behaviour of the antenna. Introduction: The application of fractal structures to the design of antennas has been recently described [l - 31. In the Sierpinski antenna, presented in [2, 41, both the input and the radiation patt- terns have a log-periodic behaviour. The log-period (6) had a fac- tor of 2 (6 = 2), the same scale factor that characterised the geometrical self-similarity properties of the fractal object. Here, we describe some experimental results on two novel structures based on the Sierpinski gasket, which present different log-periods (6 = 1.66 and 6 = 1.5). The results suggest a method for perturbing the Sierpinski structure in such a way as to control the position of multiple bands where necessary. P3/ 5SPK P2 /3SPK a b Fig. 1 Two novel designs and original Sierpinski antenna a P3I5SPK antenna b P213SPK antenna c Original Sierpinski antenna Design: The behaviour of the Sierpinski antenna has been explained through the existence of a current density active region 2186 ELECTRONICS LETTERS 21st November 1996 Vol. 32 No. 24 over a fractal surface [4]. Such an active region self-scales at each wavelength in an analogous way, which has been previously described for the log-periodic dipole array and for the spiral antenna [5]. That is, at short wavelengths, the current tends to concentrate towards the feeding point in a region where a small copy of the overall shape of the antenna is located. This region of the antenna has the most significant contribution to radiation and the rest of the antenna outside it becomes effectively disconnected. This Letter aims to show how, by perturbing the characteristic scale factor of the fractal shape, the radiating bands can be shifted. The two novel designs are plotted in Fig. 1 together with the original Sierpinski antenna [2]. Both have the overall form repli- cated at five different scales at the base of the antenna, the smaller copy being a single triangle. The antennas are designed by means of an iterative algorithm that basically consists in subtracting a scaled triangle from the original triangular form [6]. At each itera- tion, a reduction factor of 315 is found on the lower triangular cluster of the first antenna (hereafter P315SPK) and a reduction factor of 213 is found on the second one (hereafter P213SPK). We note that the two upper triangular clusters that remain after each subtraction are not proportional copies of the overall shape but are rather distorted. An affine transformation rather than a simi- larity transformation should be applied to go from the overall structure to these skewed gaskets, and hence the form is said to be self-affine [6] instead of self-similar. Nevertheless, a similarity rela- tion holds for the lower cluster where the active region is expected to be concentrated, and hence a self-similar electromagnetic behaviour can be expected for both structures. P315SPK "6 LJ"6-l - 0.45 161 3.51 2.76 1.71 4.54 1.65 7.52 1.66 300 4 - 200 0 2 1 0 0  0 P2/3SPK Sierpinski "6 "6 /"6- l  "6 L / f - l  0.44 ~ 0.46 1.54 3.46 1.75 3.77 2.43 1.57 3.51 2.00 3.69 1.51 7.01 2.00 5.43 1.47 13.89 1.98 - 200 r 1 0 0  - 0  --200 N m ,.-IO0 0 ,  , , , , , , , , , , , , 2 L 6 8 10 12 f, GHz Fig. 2 Input refection coefficient relative to 1500 (rzn'50"), input resist- ance and reactance of three antennas P315SPK P213SPK . . . . . . . . . . . Sierpinski ~-~~ Experimental results: The antennas were printed over a Cuclad 250 dielectric substrate (E, = 2.5 and h = 1.58Smm) using standard printed circuit techniques, and mounted on a monopole configura- tion over a 80 x 80cm square conductor ground plane. The anten- nas' input reflection coefficient relative to 50Q were measured from 200MHz to 12GHz using an HP8510B. Such coefficients were renormalised with respect to 1500 which is the impedance that better fits the antenna input impedance at each band (anti- resonant frequencies). Such reflection coefficients rtnlson) together with the real and imaginary parts of the input impedance (ZJ are plotted in Fig. 2; the corresponding parameters for the previously reported Sierpinski antenna [4] are shown for comparison as well. To show the log-periodic behaviour of the three antennas, the res- onant frequencies together with the spacing factor among them are listed in Table 1. The data display an almost log-periodic dis- tribution of the upper bands with log-periods 6 = 1.66 (513) for the P3/5SPK antenna and 6 = 1.5 (3/2) for the P2/3SPK antenna, which are the scale factors that characterise their fractal body. The lower bands are shifted towards the origin due to the truncation effect and are closer to that of a bow-tie antenna as described in The patterns of the two novel designs were measured in an ane- choic chamber at the centre of the four upper bands (Figs. 3 and 4). [41. 15 30 0 180 0 6  60 6 \D 90 90 90 90 21 30 240 270 3w I20 90 KO 1 30 KO -6 0 18 0 90-90 30 210 300 120 90 60 1 30 0 30 0 0 180 (3 -6 E: 90 90-90 90 21 d 240 270 300 8 r= q=O" (p=QO" e = w  m Fig. 3 Main cuts (cp = Oo, cp = 904 8 = 909 of radiation patterns for P3/5SPK antenna P2l3 SPK 0 0 120 90 60 30 0 8 60 60 6 90 90 90 30 120 60 8 30 30 1 30 8 -6 60 6 0 0 180 p 90 90.90 90 21 30 77" _. 120 60 240 270 300 (p'0" (p=90" 0=90" m a  Fig. 4 Main cuts (cp = O", @ = 90°, 8 = 909 of radiation pattevns for P2/3SPK antenna ELECTRONICS LETTERS 21st November 1996 Vol. 32 No. 24 2187 Conclusions: Two novel designs of fractal multiband antennas have been introduced. The antennas were designed by perturbing the shape of the Sierpinski antenna. The spacing between bands is again related to the characteristic scale factor of the fractal struc- ture, which suggests a procedure for tuning the antenna to a required set of bands. The multiband behaviour is consistent both from the input impedance and radiation pattern points of view. Acknowledgments: The authors would like to thank P.Mayes from the University of Illinois for encouraging this work. They also thank A.Hijazo and M.Navarro €or contributions on the antenna design and measurements. This work has been fmancially sup- ported by the ‘Spanish Commission of Science and Technology’ under grant TIC-96-0724-‘206-04, 0 IEE 1996 Electronics Letters Online No: 19961476 C. Puente, J. Romeu, R. Bartolemt and R. Pous (D3-Electromagnetics and Photonics Engineering Group, Signal Theory and Communications Department, Universitat Poltdcnica de Catalunya, Gran Capitd s/n, MddulD3, 08034 Barcelona, Spain) 7 October 1996 References 1 PUENTE, c., and POUS, R.: ‘Fractal design of multiband and low side- lobe arrays’, IEEE Trans. Antennas Propag., 1996, 44, (5), pp. 730- 739 2 PUENTE, c., ROMEU, J., POUS, R ,  GARCIA, x, and BEN~TEZ, F.: ‘Fractal multiband antenna based on the Sierpinslci gasket’, Electron. Lett., 1996, 32, (l), pp. 1-2 3 COHEN, N., and HOHLFELD, R.G.: ‘Fractal loops and the small loop approximation’, Commun. Quarterly, 1996, pp. 77-8 1 4 PUENTE, c., ROMEU, J., POUS, R., and CARDAMA, A.: ‘On the behaviour of the Sierpinski multiband fractal antenna’, IEEE Trans. Antennas Propag., 1996, (Submitted) 5 RUMSEY, V.H.: ‘Frequency independent antennas’ (Academic Press, New York, 1966) 6 PEITGEN, H.o., JURGENS, H., and SAUPE, D.: ‘Chaos and fractals, new frontiers of science’ (Springer-Verlag, New York, 1992) 40Gbit/s OTDM soliton transmission over transoceanic distances G. Aubin, T. Montalant, J. Moulu, F. Pirio, J.-B. Thomine and F. Devaux Indexing terms: Soliton transmission, Time division multiglexing 40GbiVs soliton transmission is achieved in a recirculating loop over 100001m, for the first time to the authors’ knowledge, with a single carrier wavelength. Propagation has been tested with and without polarisation multiplexing thanks to low polarisation dependency electroabsorption modulators for in-line control and for the time demultiplexing receiver. Introduction: Soliton transmission is an attractive candidate on which to base optical transoceanic systems although it requires in- line passive or active control to achieve high capacity over long distances [2]. Thanks to its nonlinear characteristic, it allows noise rejection out of the signal bandwidth. In particular, optical regen- eration can be achieved by incorporating frequency filtering and in-line synchronous intensity modulation. This technique limits the increase in amplitude noise and timing jitter, allows transmission over unlimited distance [2] and a large repeater span [3]. It was shown to be possible by the simulation results in [4] and it is dem- onstrated here experimentally for the first time to our knowledge that 40Gbitis transoceanic transmission can be acheved on a sin- gle carrier wavelength when the longest haul reported with peri- odic dispersion compensation is 500Okm [5]. This method does not preclude the use of WDM transmission, as it has been demonstrated with a binary error rate (BER) of < 1@* at l0000km [6] and could be competitive with the sliding technique [7]. 2188 ELECTRON1 Experiment: The setup includes a 180km long recirculating loop operating as in our previously published experiments [3, 41 and is shown in Fig. 1. Transmission has been tested with two different 40Gbitls pulses transmitters. Adjacent pulse polarisation is orthogonal in one and parallel in the other. pattern 20GHz aenerator UU . I ”  optical clack receiver recovery fibre EDFA fibre -4 times Fig. 1 Experimental setup The first transmitter generates 2OGbit/s 27-1 pseudorandom pattern pulses from a 1 . 5 5 7 2 ~  DFB laser and through two InGaAsP-InGaAsP multiquantum well (MQW) electroabsorption ridge modulators and an amplifier integrated on the same chip using a common active layer [XI. The short pattern length is lim- ited by the electronic driver made in our laboratory. A second stage reshapes these pulses using a Mach-Zehnder lithium niobate optical intensity modulator driven at 2OGHz. Optical time multi- plexing is realised after splitting a 20Gbit/s stream. The pulse train is interleaved with itself after an adequate delay obtained using precise fibre length. A polarisation combiner provides orthogonal states between consecutive pulses with an extinction ratio > than 25dB.The output average pulsewidth measurement gives 17ps with a streak camera. The second 1 . 5 5 7 2 ~  source uses the same 20GbiUs modula- tion but 20GHz pulses come by a mode-locked fibre ring laser instead of an electroabsorption modulator (EAM) and a DFB laser. An identical passive technique achieves 2040 Gbitis optical multiplexing to provide 27-1 pseudorandom pattern. However, relative polarisation states are managed here in each branch of a conventional coupler in order to optimise the output alignment through the main axis of a polariser that maintains the same par- allel polarisation for every launched pulses. The 7ps average pulsewidth is shorter than the previous one and better extinction allows us to transmit them without any residual interference beat- ing. The propagation path contains a modulation control section followed by four 45km long fibre spans. Loss compensation is realised by 980nm pumped amplifying and filtering by an interfer- ential device in each section. The loop experiment needs another amplifier to balance switch and coupler attenuation and to reach suitable powers. The average fibre input power measured through 99:l couplers placed just in front of the 12.5dB loss fibre spools is then -5dBm. The combination of in-line optical bandpass fdters leads to a 0.77nm FWHM Gaussian shaped filtering per 180km. A short piece of 1 7 p s l d  km step-index fibre has been spliced to dispersion-shifted fibres (DSF) in order to set the chromatic dis- persion at 0.2ps/nm/km in each amplifying span. The resynchro- nising section comprises a hgh bandwidth optical receiver to recover the 40GHz clock straight from 40Gbitis pulses and an EAM [9] driven by resulting 40GHz, 20dBm sinusoid to reshape in-line pulses with a total polarisation dependency loss (PDL) of < 1 dB. Straight 40 to lOGbitis demultiplexing is realised with another MQW EAM [9] driven sinusoidally at l0GHz with created sub- harmonics coming from a second 40GHz clock recovery device. The BER is measured after this optical time demultiplexing by using a 10Gbitis commercial BER counter triggered with a delayed gate correspondmg to the propagation distance. At the ‘CS LETTERS 21st November 7996 Vol. 32 No. 24 

Perturbation of the sierpinski antenna to allocate the operating bands

A scheme for modifying the spacing between the bands of the Sierpinski antenna is introduced. Experimental results of two novel designs of fractal antennas suggest that the fractal structure can be perturbed to enable the log-period to be changed while still maintaining the multiband behaviour of the antenna.Peer Reviewe

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Perturbation of the sierpinski antenna to allocate the operating bands

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