<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">WET</journal-id><journal-title-group><journal-title>Wireless Engineering and Technology</journal-title></journal-title-group><issn pub-type="epub">2152-2294</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/wet.2012.31002</article-id><article-id pub-id-type="publisher-id">WET-16941</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject></subj-group></article-categories><title-group><article-title>
 
 
  Microstrip Ultra-Wideband Filter with Flexible Notch Characteristics
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>arjan</surname><given-names>Mokhtaari</given-names></name></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jens</surname><given-names>Bornemann</given-names></name><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><author-notes><corresp id="cor1">* E-mail:<email>j.bornemann@ieee.org(JB)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>12</day><month>01</month><year>2012</year></pub-date><volume>03</volume><issue>01</issue><fpage>12</fpage><lpage>17</lpage><history><date date-type="received"><day>October</day>	<month>1st,</month>	<year>2011</year></date><date date-type="rev-recd"><day>November</day>	<month>2nd,</month>	<year>2011</year>	</date><date date-type="accepted"><day>November</day>	<month>10th,</month>	<year>2011</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  A microstrip ultra-wideband (UWB) filter with unique shape, compactness, simplicity of operation and flexible notch characteristics is introduced. It is based on the fundamental and harmonic characteristics of a 50 Ohm transmission line that is grounded at both ends. The filter possesses design flexibility in the sense that it can operate as a stand-alone UWB component or include simple additional circuitry to create one or two notches within the ultra-wideband frequency range. The basic design principles are highlighted and verified using the results of two commercially available field solver packages. Individual filter structures with single and double notches are validated through measurements of a number of filter prototypes.
 
</p></abstract><kwd-group><kwd>Microstrip Filters; Microstrip Resonators; Bandstop Filters; Ultra-Wideband Filters</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Ultra-wideband (UWB) applications attract increasing attention, both in industry and academia, due to increasing levels of sophistication and demand for advanced communication systems, e.g. [<xref ref-type="bibr" rid="scirp.16941-ref1">1</xref>]. One of the key issues in the 3.1 - 10.6 GHz range is the interference from wireless local area networks (WLANs) between 5 GHz and 6 GHz. Therefore, general UWB filters, but especially those incorporating notch capabilities, are in demand [<xref ref-type="bibr" rid="scirp.16941-ref2">2</xref>]. Several conventional UWB filter design approaches have been introduced, e.g. [3-5]. The introduction of tunable harmonic stepped-impedance resonators (SIWs) initiated a new generation of UWB filter designs, e.g. [<xref ref-type="bibr" rid="scirp.16941-ref6">6</xref>]. The common critical issue in these approaches, however, is their high manufacturing accuracy due to tightly coupled segments, as they are required to perform over the entire bandwidth [7,8]. Other designs focus on the utilization of defected-ground planes to enhance UWB band-stop specifications, e.g. [<xref ref-type="bibr" rid="scirp.16941-ref9">9</xref>], or SIWs with shortcircuit stubs for dual-band applications [<xref ref-type="bibr" rid="scirp.16941-ref10">10</xref>].</p><p>In order to eliminate interference from other services within the UWB band, a UWB filter must provide additional narrowband rejection capability in the passband. One solution to meet this specification is to utilize conventional open-ended quarter-wavelength transmission lines, which reject signals at that specific frequency [11,12]. A number of additional options, including those involving technologies other than microstrip, are discussed in [<xref ref-type="bibr" rid="scirp.16941-ref2">2</xref>].</p><p>This paper introduces a compact UWB microstrip filter, which is not only easy to prototype but also provides design flexibility for single and double notching within the UWB passband. The stand-alone UWB filter follows from work recently presented in [13,14] where also tuning capability with respect to a certain notch configuration is demonstrated. The current paper presents new possibilities of creating single or double notches while maintaining the circuit dimensions of the original UWB filter. Several prototype measurements validate the design approach and the additional circuitry for notch creation.</p></sec><sec id="s2"><title>2. Design Guidelines</title><sec id="s2_1"><title>2.1. Stand-Alone UWB Filter</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref>(a) shows the layout of a triple-resonator microstrip filter whose operation is based on the resonance characteristic of a 50 Ohm transmission line which is grounded by via holes at both ends [<xref ref-type="bibr" rid="scirp.16941-ref13">13</xref>]. Its basic operation is explained as follows (<xref ref-type="fig" rid="fig1">Figure 1</xref>(b)). Length L is chosen to be a half wavelength at center frequency of f<sub>0</sub> &#187; 6 GHz. Lengths L<sub>1</sub> are quarter-wavelengths sections at the same frequency so that the entire length forms a fullwavelength via-grounded transmission line. The impedance of the main transmission line L and input/output sections is 50 Ohm. Source (input) and load (output) are tapped to the resonator at points where all three modes</p><p>are excited (<xref ref-type="fig" rid="fig1">Figure 1</xref>(b)). The quarter-wavelength sections L<sub>1</sub> are realized as two parallel segments of 100 Ohms each. This is not a necessary condition for the operation of the triple-mode resonator but has shown some minor benefit in the design process as it provides slightly increased flexibility. Ideally, these segments have an impedance of 100 Ohms and support a compact size through structural folding. For ease of fabrication, though, their minimum width might be limited. Therefore, their minimum width is set to, e.g., 100 μm, thus resulting in slightly lower impedance. Alternatively and depending on the substrate used, impedances are limited to 100- Ohm lines if they lead to line width &#163; 100 μm.</p><p>In addition to the filter of <xref ref-type="fig" rid="fig1">Figure 1</xref>(a), <xref ref-type="fig" rid="fig1">Figure 1</xref>(c) depicts sections L<sub>2</sub> and 50 Ohm lines L<sub>4</sub> in order to increase the bandwidth of the UWB filter. The sections of length L<sub>4</sub> operate as quarter-wavelength impedance inverters at 3 GHz and as half-wavelength resonators at 6 GHz. Lengths L<sub>2</sub> are a quarter-wavelength long at around 6 GHz. Their impedance level and/or width are selected in the same way as sections L<sub>1</sub>. Using RT/Duroid 6010 substrate with e<sub>r</sub> = 10.2, substrate height h = 635 mm and metallization thickness t = 35 mm, the overall dimensions of the filter structure in <xref ref-type="fig" rid="fig1">Figure 1</xref>(c) are 11 mm &#215; 8 mm.</p><p><xref ref-type="fig" rid="fig2">Figure 2</xref>(a) shows the responses of the filter in Figure</p><p>1(c) obtained with Ansoft Designer and the High-Frequency Stucture Solver (HFSS). (Ansoft Designer and HFSS are two different commercially available field solvers, the first based on the method of moments, the latter on the finite element technique. They are used together in this paper for the purpose of result validation as a single numerical technique, depending on its specific implementation, is often not an indication of a reliable design.) Good agreement is obtained for the passband and most of the stopband. According to Ansoft Designer, the 20dB band-stop region extends from 11 GHz to 14.15 GHz. The transmission zero at 11.3 GHz is due to the fact that the input/output placements along the grounded transmission-line resonator create an out-of-phase feeding scenario similar to that discussed in [<xref ref-type="bibr" rid="scirp.16941-ref15">15</xref>]. (Note that his transmission zero is inherent in the design and appears in all filter responses shown in this paper.) The 3dB bandwidth extends from 3 GHz to 10.4 GHz and covers almost the entire UWB frequency range. <xref ref-type="fig" rid="fig2">Figure 2</xref>(b) shows the group delay response of the filter in <xref ref-type="fig" rid="fig1">Figure 1</xref>(c). In the passband, it is derived from the computed or measured transmission phase j<sub>21</sub> as</p><disp-formula id="scirp.16941-formula61360"><label>(1)</label><graphic position="anchor" xlink:href="2-6801107\8c4149d7-c2df-4599-a144-4546c8a34528.jpg"  xlink:type="simple"/></disp-formula><p>In the stopband or at transmission zeros, the output signal is diminished due to high attenuation, and thus the group delay is extracted using the phase j<sub>11</sub> of the reflection coefficient and the properties of lossless symmetrical two-port devices.</p><disp-formula id="scirp.16941-formula61361"><label>(2)</label><graphic position="anchor" xlink:href="2-6801107\57c5b1e2-8310-4993-b168-ede60b54acb2.jpg"  xlink:type="simple"/></disp-formula><p>Since the group delay is meaningful only at passband frequencies, <xref ref-type="fig" rid="fig2">Figure 2</xref>(b) (and following group delay plots) focuses mainly on the ultra-wide passband. For the circuit in <xref ref-type="fig" rid="fig1">Figure 1</xref>(c), good agreement in and close to the passband is observed in <xref ref-type="fig" rid="fig2">Figure 2</xref>(b). The group delay variation is less than 200 ps as confirmed by Ansoft Designer and HFSS and is thus better than or comparable with many UWB filters presented in the recent literature.</p></sec><sec id="s2_2"><title>2.2. UWB Filter with Notch Capability Specifications</title><p>Up to this point, we were concerned with the filter as a stand-alone UWB component. Now the creation of a notch in the frequency response is demonstrated. This is achieved by adding open-ended coupled-line sections L<sub>3</sub> and tapping them off lines L<sub>2</sub> at a distance L<sub>5</sub>. A comparison between Figures 1(c) and 3(a) illustrates the concept. The open and shorted stubs formed by lengths L<sub>2</sub> in <xref ref-type="fig" rid="fig1">Figure 1</xref>(c) and L<sub>3</sub>, L<sub>5</sub> in <xref ref-type="fig" rid="fig3">Figure 3</xref>(a) have band-stop characteristic and thus create the notch in the frequency response. Note that the notch is absent in <xref ref-type="fig" rid="fig2">Figure 2</xref>(a) because lines L<sub>2</sub> in <xref ref-type="fig" rid="fig1">Figure 1</xref>(c) are too short for the UWB frequency range. For design purposes, length L<sub>3</sub> in <xref ref-type="fig" rid="fig3">Figure 3</xref>(a) is determined as</p><disp-formula id="scirp.16941-formula61362"><label>(3)</label><graphic position="anchor" xlink:href="2-6801107\3a9082bc-fab0-4103-8be5-670b1fb99bf9.jpg"  xlink:type="simple"/></disp-formula><p>where λ′ is the guided wavelength at the desired notch frequency. <xref ref-type="fig" rid="fig3">Figure 3</xref>(b) and (c) show the scattering and group delay performances, respectively, for this filter. The notched 3 dB bandwidth in <xref ref-type="fig" rid="fig3">Figure 3</xref>(b) is 800 MHz, covering the frequency range from 5.2 GHz to 6 GHz, and the maximum attenuation is 30 dB. Other than that, the performance of the filter in <xref ref-type="fig" rid="fig3">Figure 3</xref>(b) is similar to that in <xref ref-type="fig" rid="fig2">Figure 2</xref>(b). The group delay performance in <xref ref-type="fig" rid="fig3">Figure 3</xref>(c) shows variations of less than 100 ps and 200 ps for the first and second passbands, respectively.</p><p>Tuning of the notch is facilitated by varying lengths L<sub>3</sub>, L<sub>5</sub> and adjusting the spacing “s” between the coupled lines. The 3 dB bandwidth of the notch is adjusted mostly by L<sub>5</sub>, but also slightly by L<sub>3</sub>, which then changes in the opposite direction according to Equation (3). In addition, the reflection coefficients within the two passbands (initial UWB filter response now separated by the notch) are slightly adjusted by the gap “s” between the open-ended coupled segments of length L<sub>3</sub>. This has been initially</p><p>demonstrated in a parametric study presented in [<xref ref-type="bibr" rid="scirp.16941-ref14">14</xref>].</p></sec></sec><sec id="s3"><title>3. Results</title><p>This section shows some of the results obtained with selected prototypes. About 16 different designs were implemented on a single RT/Duroid 6010 substrate with e<sub>r</sub> = 10.2, substrate height h = 635 μm and metallization thickness t = 35 μm. They were cut to individual filter units, and coaxial connectors were soldered to input and output ports as a test fixture was not available. One of the problems in this prototyping approach is the fact that the input and output coaxial adapters, as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref> (a), are located very close to the actual filter circuit. They are responsible for the high level of reflection seen in the passbands in <xref ref-type="fig" rid="fig4">Figure 4</xref>(b) and the somewhat wavy group delay response in <xref ref-type="fig" rid="fig4">Figure 4</xref>(c). (Similar behavior is ob-</p><p>served for all following measurements in this section.) Other than that, the agreement between computation and measurements is very good. The measured passband return loss is about 10 dB, and the notch frequency at 5.55 GHz and the transmission zero at 12 GHz are well represented in the experiment.</p><p>According to <xref ref-type="fig" rid="fig3">Figure 3</xref>(a) and the discussion in the previous section, a notch in the UWB filter performance can be created by employing open and shorted stubs between the input and output paths and designing their lengths and position for the notch frequency. However, the position and character of the stubs is not limited to that shown in Figures 3(a) and 4(a). For instance, <xref ref-type="fig" rid="fig5">Figure 5</xref>(a) shows coupling directly across the original</p><p>triple resonator (<xref ref-type="fig" rid="fig1">Figure 1</xref>(a)) whereas the upper filter part is similar to <xref ref-type="fig" rid="fig1">Figure 1</xref>(c) with the exception that the two vias at the end of lengths L<sub>3</sub> are realized by a combination of vias. The length of the coupling path is a halfwavelength at the notch frequency. The measurements in Figures 5(b) and (c) show similar characteristics as the previous ones. The measured return loss is about 8 dB, and the notch at 6.2 GHz and the overall transmission characteristics are well reproduced in the experimental data.</p><p>Double notches in the UWB filter response can be created by using the circuit in <xref ref-type="fig" rid="fig4">Figure 4</xref>(a) and adding another half-wave resonator between input and output. This is demonstrated in <xref ref-type="fig" rid="fig6">Figure 6</xref>(a). The former thus produces the notch at 5.45 GHz while the latter adds that</p><p>at 8.75 GHz. Although the upper notch band is wider relative to the notch center, the UWB response is clearly divided into three separate passbands as indicated by “<img src="2-6801107\f6ca672b-1cbb-443e-8be1-f7f67c060e99.jpg" />” in <xref ref-type="fig" rid="fig6">Figure 6</xref>(b), and the measured filter transmission characteristic is in good agreement with predictions. The group delay performance in <xref ref-type="fig" rid="fig6">Figure 6</xref>(c) also reflects the triple-band filter characteristic.</p><p>Similar to the single-notch designs, the coupling schemes for the double notch can now be changed. Note that the dimensions of the basic 50 Ohm resonator line as well as those of the input/output lines are the same in all prototypes presented in this paper.</p><p>A variant of the circuit in <xref ref-type="fig" rid="fig6">Figure 6</xref>(a) is shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>(a). Comparing the responses of Figures 6(b) and 7(b), it is seen that the same scheme is used to pro-</p><p>duce the lower notch at 5.45 GHz (also c.f. <xref ref-type="fig" rid="fig4">Figure 4</xref>). The scheme for the upper one is altered and produces a notch designed for 7.3 GHz (<xref ref-type="fig" rid="fig7">Figure 7</xref>(b)). However, note that there is an uninterrupted line between the input and output coupling sections and that, compared to <xref ref-type="fig" rid="fig6">Figure 6</xref>(a), the coupling of the lower-notch lines to the upper one is stronger in <xref ref-type="fig" rid="fig7">Figure 7</xref>(a). It is believed that this is the reason for this configuration being more sensitive to tolerances. This fact explains the shift from 7.3 GHz in the computation to 7.05 GHz in the experiment (<xref ref-type="fig" rid="fig7">Figure 7</xref>(b)). Other than that, the notches and overall transmission characteristic are well represented and, considering the reflection effect between the coaxial adapters (as mentioned earlier), the agreement between computation and experiment is generally good.</p></sec><sec id="s4"><title>4. Conclusion</title><p>A microstrip ultra-wideband filter is introduced. Due to its unique shape and compactness, it offers possibilities for single and double notch operation. The filter’s centerpiece is a 50 Ohm transmission line, grounded at both ends, plus additional 50 Ohm and (ideally) 100 Ohm line sections. Open and shorted lines between the input and output halves of the filter facilitate a narrow notch band. Additional coupled half-wave resonators generate additional notches at different frequencies. The applications of the circuits are two-fold: They can be used for interference cancelation of other services in the UWB frequency range, or they can operate as dual-or triple-band filters within the 3 - 10 GHz regime. Principle design guidelines determine the initial UWB filter and notch dimensions. Fine optimization with a field solver such as Ansoft Designer or HFSS is encouraged. Several prototypes are presented whose measurements, aside from the inappropriate prototyping, validate the basic filter design and the creation of notches in the frequency response.</p></sec><sec id="s5"><title>5. Acknowledgements</title><p>The authors wish to acknowledge support for this work from the TELUS Research Grant in Wireless Communications.</p></sec><sec id="s6"><title>REFERENCES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.16941-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">J. 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