<?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">JCC</journal-id><journal-title-group><journal-title>Journal of Computer and Communications</journal-title></journal-title-group><issn pub-type="epub">2327-5219</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jcc.2015.33017</article-id><article-id pub-id-type="publisher-id">JCC-54744</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>
 
 
  Miniaturized Planar Ultra-Wideband Bandpass Filter with Notched Band
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xueying</surname><given-names>Guo</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yunsheng</surname><given-names>Xu</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Weidong</surname><given-names>Wang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Key Laboratory of Wireless-Optical Communications, Chinese Academy of Sciences, School of Information Science and Technology, University of Science and Technology of China, Hefei, China</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>xys@ustc.edu.cn(XG)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>17</day><month>03</month><year>2015</year></pub-date><volume>03</volume><issue>03</issue><fpage>100</fpage><lpage>105</lpage><history><date date-type="received"><day>February</day>	<month>2015</month></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>
 
 
   This paper presents a planar ultra-wideband (UWB) bandpass filter with sharp out-of-band rejection performance. The filter is formed by a folded multiple-mode resonator to realize high performance in an operation band from 3.3 to 10 GHz with a very compact size of 20 mm &#215; 20 mm &#215; 0.5 mm. An extra notched band centered at 5.8 GHz is further accomplished by etching a Hilbert fractal curve slit on the filter without the necessity of readjusting the geometrical parameters. The simulated and measured results are in good agreement. 
 
</p></abstract><kwd-group><kwd>Ultra-Wideband (UWB)</kwd><kwd> Bandpass Filter</kwd><kwd> Notched Band</kwd><kwd> Hilbert Fractal Curve</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Ultra-Wideband (UWB) systems have attracted increasing attention since the Federal Communications Commission released the unlicensed use of the frequency spectrum 3.1 - 10.6 GHz for UWB applications in 2002. With the rapid development of electronic products, high performance and compact size have been import issues in design considerations. The investigation on an UWB bandpass filter, which is one of the main components of UWB systems, has been a subject of interests.</p><p>Since 2005, various UWB bandpass filters have been designed and reported, including filters of composite lowpass and highpass structures [<xref ref-type="bibr" rid="scirp.54744-ref1">1</xref>], shorted-circuited stub filters [<xref ref-type="bibr" rid="scirp.54744-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.54744-ref3">3</xref>], multiple-mode resonator (MMR) structure filters [<xref ref-type="bibr" rid="scirp.54744-ref4">4</xref>], etc. Modification or improvement of MMR filters has also been proposed due to their compact size and high performance [<xref ref-type="bibr" rid="scirp.54744-ref5">5</xref>]-[<xref ref-type="bibr" rid="scirp.54744-ref9">9</xref>]. In [<xref ref-type="bibr" rid="scirp.54744-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.54744-ref8">8</xref>], the transmission zeros of MMR filters are used to realize sharp out-of-band rejection performance.</p><p>Because of the possible interference with the existing wireless local area network or other applications, the research on UWB bandpass filters with notched bands has also been conducted in recent years. For example, etching slots on the patch or on the ground plane [<xref ref-type="bibr" rid="scirp.54744-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.54744-ref11">11</xref>], using asymmetric coupled lines [<xref ref-type="bibr" rid="scirp.54744-ref12">12</xref>], and adding notch resonators [<xref ref-type="bibr" rid="scirp.54744-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.54744-ref14">14</xref>].</p><p>Based on [<xref ref-type="bibr" rid="scirp.54744-ref7">7</xref>], a miniaturized UWB filter formed by a MMR is realized in this paper. The MMR is formed by a stepped-impedance resonator with a stepped-impedance stub. Different from [<xref ref-type="bibr" rid="scirp.54744-ref7">7</xref>], however, the UWB bandpass filter here achieves UWB with a much more compact size of 20 mm &#215; 20 mm by folding the MMR. An extra notched band around 5.8 GHz is further obtained by etching a Hilbert fractal curve slit [<xref ref-type="bibr" rid="scirp.54744-ref15">15</xref>] on the filter without the necessity of readjusting the geometrical parameters. The filter is fabricated on a printed circuit board with a relative permittivity of 2.65 and thickness of 0.5 mm.</p><p>The structure of the paper is as follows. In Section 2, the configurations of the proposed filters with or without the notched band are introduced and their resonance characteristics are analyzed. In Section 3, the experiment results of the above UWB filters are presented and compared with the simulated ones. Finally, conclusions are given in Section 4.</p></sec><sec id="s2"><title>2. Filter Structure and Design</title><sec id="s2_1"><title>2.1. Configuration and Design</title><p>The configuration of the proposed UWB bandpass filter without a notched band is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, which consists of a folded MMR formed by a stepped-impedance resonator with widths of W<sub>i</sub> and lengths of L<sub>i</sub> (i = 1, 2, 3, 4). It is fed by a microstrip line with width W and parallel-coupled structure with width of W<sub>s</sub> and lengths of L<sub>s</sub>. This MMR structure is used to create five resonance frequencies in the passband to achieve UWB operation bandwidth by adjusting the parameters of the MMR. In addition, the stepped-impedance stub with widths of W<sub>3</sub> and W<sub>4</sub> and lengths of L<sub>3</sub> and L<sub>4</sub> can also introduce two transmission zeros, sharp rejection can then be realized by changing the locations of these transmission zeros to the edges of the passband.</p><p><xref ref-type="fig" rid="fig2">Figure 2</xref>(a) shows the MMR structure. Y<sub>i</sub> and θ<sub>i</sub> (i = 1, 2, 3, 4) are the characteristic admittances and electronic lengths, respectively. Since the MMR is symmetrical in structure, the even- and odd-mode methods can be used for its characterization. <xref ref-type="fig" rid="fig2">Figure 2</xref>(b) and <xref ref-type="fig" rid="fig2">Figure 2</xref>(c) are its even- and odd-mode equivalent circuits, respectively. The symmetrical planes are open-circuited for even-mode excitation and short-circuited for odd- mode excitation. The input admittances <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x5.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x6.png" xlink:type="simple"/></inline-formula> for the even- and odd-mode excitations can be respectively given bellow</p><disp-formula id="scirp.54744-formula624"><label>, (1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x7.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.54744-formula625"><label>, (2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x8.png"  xlink:type="simple"/></disp-formula><p>where</p><disp-formula id="scirp.54744-formula626"><label>, (3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x9.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.54744-formula627"><label>, (4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x10.png"  xlink:type="simple"/></disp-formula><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Configuration of the proposed UWB filter without notched band</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x11.png"/></fig><p>From the resonance condition: <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x12.png" xlink:type="simple"/></inline-formula>or<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x13.png" xlink:type="simple"/></inline-formula>, the resonance frequency of the even-mode f<sub>e</sub> or that of the odd-mode f<sub>o</sub> can be obtained from</p><disp-formula id="scirp.54744-formula628"><label>, (5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x14.png"  xlink:type="simple"/></disp-formula><p>or</p><disp-formula id="scirp.54744-formula629"><label>, (6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/54744x15.png"  xlink:type="simple"/></disp-formula><p>where<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x16.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x17.png" xlink:type="simple"/></inline-formula>, and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x18.png" xlink:type="simple"/></inline-formula>. The transmission zeros f<sub>z</sub> can be produced by<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x19.png" xlink:type="simple"/></inline-formula>.<sub> </sub></p><p>Three <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x20.png" xlink:type="simple"/></inline-formula> two<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x21.png" xlink:type="simple"/></inline-formula>, and two <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x22.png" xlink:type="simple"/></inline-formula> can be determined within the passband. To realize sharp rejection, the locations of the transmission zeros f<sub>z</sub> can be moved to the edges of the passband by adjusting k<sub>3</sub>, L<sub>3</sub>, and L<sub>4</sub>. The resonance frequencies f<sub>o</sub> can be changed by adjusting k<sub>1</sub>, L<sub>1</sub>, and L<sub>2</sub> and those of f<sub>e</sub> by k<sub>1</sub>, k<sub>2</sub>, and k<sub>3</sub>, and L<sub>i</sub> (i = 1, 2, 3, 4). <xref ref-type="fig" rid="fig3">Figure 3</xref> plots the resonance frequencies and transmission zeros of the MMR with varying k<sub>1</sub>, k<sub>2</sub>, and k<sub>3</sub>. It is seen that f<sub>e</sub> and f<sub>z</sub> can be very close at both lower and upper frequencies, such that sharp rejection can be realized at the band edges.</p><p>The parameters W<sub>s</sub> and S<sub>1</sub> determine the coupling of the MMR and parallel-coupled structures. <xref ref-type="fig" rid="fig4">Figure 4</xref> illustrates the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x23.png" xlink:type="simple"/></inline-formula> simulated by HFSS with weak and strong coupling. From the weak coupling the resonance frequencies and transmission zeros can be obviously observed. With strong coupling and the MMR characteristics, an UWB bandpass filter with high performance can be realized.</p></sec><sec id="s2_2"><title>2.2. UWB Filter with Notched Band</title><p>Since a Hilbert fractal curve slit can produce a narrow notched band without increasing circuit area [<xref ref-type="bibr" rid="scirp.54744-ref15">15</xref>], it’s utilized and etched on the stepped-impedance stub to produce a notched band around 5.8 GHz, while the other structure parameters remain unchanged, as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. <xref ref-type="fig" rid="fig6">Figure 6</xref> depicts the change of resonant frequencies with different values of<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x24.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x24.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x25.png" xlink:type="simple"/></inline-formula>or w<sub>h</sub>. By fine-tuning the dimensions of the Hilbert fractal curve slit, the</p><fig-group id="fig2"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> (a) Configuration of MMR; (b) Even-mode equivalent circuit; (c) Odd-mode equivalent circuit.</title></caption><fig id ="fig2_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x26.png"/></fig><fig id ="fig2_2"><label> (c)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x27.png"/></fig></fig-group><fig-group id="fig3"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Resonace characteristics of MMR. (a) With varying k<sub>3</sub>. k<sub>1</sub> = 1, k<sub>2</sub> = 0.2; (b) With varying k<sub>2</sub>. k<sub>1</sub> = 1, k<sub>3</sub> = 0.2; (c) With varying k<sub>1</sub>. k<sub>2</sub> = 0.2, k<sub>3</sub> = 0.2. L<sub>1</sub> = 8 mm, L<sub>2</sub> = 7 mm, L<sub>3</sub> = 10 mm, and L<sub>4</sub> = 4 mm.</title></caption><fig id ="fig3_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x28.png"/></fig><fig id ="fig3_2"><label> (c)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x29.png"/></fig><fig id ="fig3_3"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x30.png"/></fig></fig-group><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Simulated <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x32.png" xlink:type="simple"/></inline-formula> with weak and strong coupling</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x31.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Configuration of the filter with notched band</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x33.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Simulated <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x35.png" xlink:type="simple"/></inline-formula> of the notched band</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x34.png"/></fig><p>notched band can be obtained in the desired frequency range.</p></sec></sec><sec id="s3"><title>3. Experiment Results and Discussions</title><p>The proposed filters with or without a narrow notched band are fabricated, as shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>, and measured to demonstrate their performance. A SMA connector is attached to the 50 ohm microstrip feeding line of W = 1.35 mm. SMA connectors are included in the simulation model. The overall sizes of the filters are 20 mm &#215; 20 mm. The simulation shows that the dimensions of the metallic boxes have little influence on the performance. The structure parameters are: W<sub>1</sub> = 0.2, W<sub>2</sub> = 1.925, W<sub>3</sub> = 2.25, W<sub>4</sub> = 6, W<sub>s</sub> = 0.18, L<sub>s</sub> = L<sub>1</sub> = 7.8, L<sub>2</sub> = 6.75, L<sub>3</sub> = 6.1, L<sub>4</sub> = 7, S<sub>1</sub> = 0.1, and S<sub>2</sub> = 0.2.</p><p><xref ref-type="fig" rid="fig8">Figure 8</xref> illustrates the simulated and measured results of the UWB bandpass filter without a notched band. The measured pass band is from 3.3 GHz to 10 GHz with a return loss less than −10 dB.</p><p><xref ref-type="fig" rid="fig9">Figure 9</xref> depicts the simulated and measured results of the UWB bandpass filter with a narrow notched band. The design parameters for the notch are: x<sub>h</sub> = 4.4, y<sub>h</sub> = 5, w<sub>h</sub> = 0.3, and s<sub>h</sub> = 2. It has a measured notched band</p><fig-group id="fig7"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Photographs of the filters. (a) Without a notched band; (b) With a notched band.</title></caption><fig id ="fig7_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x36.png"/></fig></fig-group><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Simulated and measured S parameters of the proposed UWB filter without notched band</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x37.png"/></fig><fig-group id="fig9"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Simulated and measured S parameters of the filter with a notched band (a)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x40.png" xlink:type="simple"/></inline-formula>; (b)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/54744x41.png" xlink:type="simple"/></inline-formula>.</title></caption><fig id ="fig9_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x38.png"/></fig><fig id ="fig9_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/54744x39.png"/></fig></fig-group><p>from 5.7 GHz to 6.0 GHz and the attenuation is less than −15 dB at the center frequency. The deviations of the measurements from the simulations may be attributed to tolerance in the fabrication process and diversity of material parameters.</p></sec><sec id="s4"><title>4. Conclusion</title><p><xref ref-type="fig" rid="fig6">Figure 6</xref>. Simulated and measured S parameters of the proposed UWB filter with a notched band.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This work was supported by the National High-Tech R &amp; D Program (863 Program) under Grant 2011AA010201 and the Key Technologies R &amp; D Program under Grant 2015ZX03002002..</p></sec><sec id="s6"><title>Cite this paper</title><p>Xueying Guo,Yunsheng Xu,Weidong Wang, (2015) Miniaturized Planar Ultra-Wideband Bandpass Filter with Notched Band. 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