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.$tiL5.
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(e)
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o
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th
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=*l
U'
0 5 1 0 1 5 2 0 2 5 3 0
F equency(GHz)
(v)
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tl:i 6il'/ 1*iq:r (-)
(Y)
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iplL * r> J> rJ ".u *>lrb;J+ CL".';Lfl F.
6F Aa*t -A
tj L,r-.;-19ts- rff..,-L, ;1*i.5-_.aJG-,,_l,s
of.4+6lr-t u.;.l 9o-' '.
*-llt tf ss ,tr r+:- JU:l
DGS e.5.:lQ:;'rr................DGS ;l .iy! .Fl5.p rs ;lj .rfl^c
.glrl.r o.r-; --lP --:1j ; ,l 6.r '.
6.5L,: .l
JS-: st-J
.; 6i J-;L i J:..-.r /A .5r9-s -"! 9 fGHz CU,
"".[5_e
rS, )-. o.r r.r>l"la
;l.s *!ti,r- Y.GHz t- Y.dB .r,-;
s.' '.:4ail .. €,.=6.75,h=1.27 ;'Loz:^ t{ -_)-lyL
- l
0.5 5.5 .t0.5 15.5
Frequency(GHz)
20-522
(v)
(tli + (v).e.',(-;,ll)
(.iJ l)
or-l a5L;lJ -AJli
- Simulated
---'Measured
YY
drlJt-d.oncl}^+ ^
dlHlgp 6ruri4 ^ dil)ois o#)iL
udl+o irlpLa-o .*
[11] Marc Le Roy, Andr'e P'erennec,Serge
Toutain and L'eon Claude Calvez, "The
Continuously Varying Transmission-Line
Technique-Application to Filter Design",
IEEE Trans. On Microwave Theory and
Techniques,vol.47, no. 9, September1999.
[12] DagerCesardeAlencarandLeonardoR. A.
X. Menezes,memberIEEE,"Direct Synthesis
of MicrowaveFilters Using Modified Smalt
Reflections Theory", MTT-S IMOC'99
Proceedings,1999-
[13] R. E. Collin, Foundationsfor Microwave
Engineering,2nd.New York, MA: McGraw-
Hill,2000
[14] J. S. Park, "An Equivalent Circuit and
Modeling Method for Defected Ground
Structuresand lts Applicationto The Design
of Microwave Circuits," Microw. J. Nov.
2003.[Online].Available:www.micom
[15] N. C. Karmakar,S. M. Roy, and I. Balbin,
"Quasi-StaticModeling of DefectedGround
Structure", IEEE Trans. On Microwave
Theoryand Techniques,vol. 54, no. 5, May
2006.
[16] Han-Jan Chen, Tsung-Hui Huang, Chin-
ShengChang,Lih-ShanChen,Na-Fu War-rg,
Yeong-HerWang,andMau-PhonHoung,"A
Novel Cross-ShapeDGS Applied to Design
Ultra-Wide Stopband Low-Pass Filters",
IEEE Microwave and WirelessComponents
Letters,vol. 16,no.5,MAY 2006.
[17] Adel B. Abdel-Rahman,Anand K. Verma,
Member,IEEE, Ahmed Boutejdar,andA. S.
Omar, "Controlof BandstopResponseof Hi-
Lo MicrostripLow-PassFilter Using Slot in
Gror.nd Plane", IEEE IEEE Trans. On
MicrowaveTheory and Techniques,vol. 52,
no.3,March2004.
etf
tl] J.S.Hong and M.J.Lancaster,"Microstrip
Filtersfor M/Microwave Applications".John
Wiley& Sons,2001.
[2] M-H.Weng,R-Y.Yuan,T-H.Huang,H-J.Chen,
and M-P Houng,"SpuriousSuppressionof a
Microstrip Bandpass Filter Using Three
Types of RectangularPBG Loops," IEEE
Trans. On Ultrasonics, Ferroelectris,and
FrequencyControl,vol.52,r'ro.3,pp-487-490,
March2005.
[3] L. Garde,M. J.Yabar,andC. D. Rio,"Simple
Modelingof DGS to Design ID-PBG Low
PassFilter,"Microw. Opt. Technol.Lett.,vol.
3l , no. 3, pp. 228-232,May 2003.
[4] H.-W.LiLr,X.-W. Sun,andZ.-F.Li, "A Low-
PassFilter of Wide Stopbandwith a Novel
Multilayer Fractal Photonic Bandgap
Strllctllre,"Microw. Opt. Technol.Lett., vol.
40,no.5, pp.431432,Mar.2004.
[5] D. Ahn,J.S.Park,C. S.Kim, J.Kim, Y. Qian,
andT. Itoh,"A Designof the Low-PassFilter
usirrgthe Novel Microstrip DefectedGround
Structure," IEEE Trans. Microw. Theory
Tech.,vol.49,no.l,
pp.86-93,Jan.2001.
[6] K.Lu, "An Efficient Method for Analysisof
Arbitrary Nonuniform TransmissionLines".
IEEE Trans.MicrowaveTheory& Tech.vol.
MIT-4S.pp.9-l4.I' an.1997.
[7] P. P. Robertsand G. E. Town, "Designof
Microwave Filters by lnverse Scattering,"
IEEE Trans.Microwave Theory Tech.,vol.
43 ,no.4,Apr. 1995.
[8] C. L. Edwards,M. L. Edwards,S. Cheng,R.
Stilwell, and C. C. Davis, "A Sirnplified
Analytic CAD Model for LinearlyTapered
Microstrip Lines," in IEEE MTT-S Int.
Microwave Symp. Dig., 2004, pp. 2101-
2104.
t9] Leonardo R.A.X. de Menezes, "New
Developmentsin Inverse ScatteringTLM
(TransrnissionLine Matrix) Method", IEEE
MTT-S2001Processing
[0] Renatode PdduaMoreira,StudentMember,
IEEE, and LeonardoR. A. X. de Menezes,
Member, IEEE, "Direct Synthesis of
Microwave Filters Using InverseScattering
Transmission-LineMatrix Method". IEEE
Trans. On Microwave Theory and
Techniques,vol.48,no.72,Decernber2000.
Yf

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  • 1. OlHl Op G.ui4/acldllois *,triV DGS g;t'.rt! trJ*il4 e* q rf-)*tg-$*. ;J+ .gJt"a-i1aC t-t;rl ol.J.Jt 9 Yo.:11 ;lob ur>u ,Y;1"- L,-> l* ,;r;-o L-r*l u:-q.- c:,.:a .tS,::;lc.;lrp6- .r-:rl .,"l,'rrtf -l q-- .:*l- ot-fu;ls .11.,,*-.vE. i.r.Lllr,L_oL-l -Y .rlL:i ot(;;lt .s-J*r. 9 *:-i ".r5:;lo ,L-tL-l -Y c,"r& --i.t-/ ol5-ll.: .-lyE- .5ly5s .59a:;ll -f Email:Geran(Emodares.ac.ir ;'l.p -;-/ t:J--i ,s-l:L tr pa- u'Lir.;a' ,/aaa; ;l ufi ,-;'t/ t;l/ 6Lu Lr,rFl )rub + JlrrtU ,/ar{i L'-b- ,sb-**".tln -ii> -o.t-K> oLK.;/ , )", + ,fy'* rLa;^i- L ,:1j Lr,l .;-l or.J orL;:-l DGS -gS; ;l , ftL ,,5 O-Q ;I*i .t- tlQ +,r <sta-4:r1la .ii2 Ltll 4U. .,L--t ."ty t;Q l! S J,l! .,rf J*Q ,lj 4 ,.ip ;y ;.y -u|rlf ot:'t oh + Irr. ;-l, ;i .:r-f.L' )y4/ 6h *l;- DGS u-;- 9 o,t-i u>t t ;rz r' b f/Ya jl J=-" r' )l ;<., .;ty t;+ -;:-b- t ,aqJ f I dc ;/ "l-.-t l/A ;l ,:J ,5.,,* ib LtLb ;Li o'l .;-l ^u 4:;1. t 6zLL e-t .,:r, ,lfi ,-;:- ,r+' Q;# 4 jl JS* e-Q. ,rtr-<t ;rsi;-+ o|, ib-rr ,tu J,l .J:L 6. fraKJ .[f l .-".,. ulat5 lr La;l.s ir,-l ofLc ..5f, .r;5_p . tPBG 9 DGSI af* _;l ,r,_t,6.i-si ,at- Jt- ,.: .Lb;l=i ,J?................1YIilJrrb e-t, or,t !,.1 ;t Ot,, .[Ol-[fl ..- -l oJ 1:lb-:- <f f f r.j:- JUxl J*i tr .-+,_r-l9f- .gLo;l+ .o;9r"1 JJ,r9 fJ c.6=-9,; ;E.r:L .5l-.:.ai"r.:9- lrlc c*-L *r Jrr.r:J o.r-;JU.il et-, jQjU 6t.o.,*-9--tj .r.;ldif -,l; Jl ;-:l t .; ! ,r"_t-llf- *lj 1.,:rl aJG^.r,_l,c ,.gla5*;9.rLo.ij- .91r,Lr",- 9 "r-: ,r>|} 6S ,.; ,=,;^ J:- 6lr- c,"gtc.p-* .c-l o; 1'rooli: .lDGS ;l ;Vt ..- J "--.5 rlj &Jtt- "rr- [.|Vl-[fl ," ta;l=i E4;,_t Ji".u_ITEM JL;jl tj a-5 c-t o$ .r_p [,rl-[fl ,. ,5,.c1l..'-l cttic "ft .,sl-jb aJ.:L-;l ;l '".1 e c-l .rier.[1].pf* Jslr, TLM ;e, + olr.s" ki:,, ;L-l.L;l .r9, ,['tI(CVTL) ra:-r=,_ , -;- JG:jl!; +Jt.-",,_l ,.1af ,lf orL;l Dager L ,"; o.r-i ,;r* g--f .[lf ] c-t q,r":t55li-.J,r,_;-.r"ti;l ;9r;l Ao.$ln -l sfLs t .-,Ul C ;t.; .o:-cd ;lr,t=. ..r:fljrr $t tr a:.it_ "-_lil O*_t- c*! e Fi .rj9 ,l"f ";lsl ,!G J9.tu 9 .*i- .glQ--:t5i .g;Llu Sl.t 6 t";ljr .,- ,l M : y_:lF_L 6l-orl.r" ,.r .r-Jl ,:*rFl -41 JJ,S ,e-i.l )1.[tl "r-; -:.:* o.rcl.s,,-l 1l ; .srlc rrrr5 Jj9) .it' .rtf ;.:9, !1.: JJ+ .r-",-,-19F.- dL6;ljr .r,-r-a; (.,-L- c--=5 9 ,-.1Ll .;L .l"f ";lsl .of ..', -!.,- -li;l .91r,ai-rf Yl--r.gL-; L t6UL-JtD -r-_.r7.:19- rr,-jl 6t{.s).l--.," r-99.,5.-L-6;;.* rl.r.) iiL .5rgLi .(1.{5.-l}- j (HTS) ,ar h.',=-=tU;9;SJl .91.o;La.; I .((MMI C) oa.,Li_ .r--r:-l9f* 6L-.6Fl=se_)- ,y,# tJ .s--{- F .51e.:.rlg 9 .iU-l 6t6;lj ujL ,r--;-l sSt' fr-f .5tb;l*i . i : .5.rrrii .5{,o;l+ .o.rr.lsa*i ft. ! rLi ,c5l4L t; e JLa-o;--l ,-el-o;L! ,s)ly &,f et^ J* olG:-l y_99rS,_L9 RF 6talr,rl5 jl .Stt-..r ,.: .gl+;Li -.lrb J^ tr oi_rr ,. .19;U.tt{F-t, Jr:l .$*.f ' DefectedGroundStructure 2PhotonicBandGap ' ContinuouslyVaryingTransmissionLine Y1
  • 2. (-iJD dz, H (v) .r.-F JSj (-) a:-e-_):* G.f .5lrlcJuill tr (.ilD d:r9r +i:i u;5. 6lrl.: JU:jI ld; CrU6-oacl+l o dlpl dp 6lrri+r drJllois +*bril - Js-; dl+i r:rlptaa ;$ p9s,l;j.1 ,s .,J-l o.r.]]e^l;J dn 6-- r.: aJU-,,,_l L i:;-l-L- 6g; s-4fGHz C-tg "*;[filr rS.r",_t ,r-"; ,rl-S-;l .irt L+ ,€, =6.15,h=7.27 ;l---i:^ or-+ cSl.nDGS .5-llt o--:ff- ol+.J9-.X.,. ,ilrt e-L-:; e-,L+a;j1 ,r..r;lsr,.r- or-i s>l)-b ;l,j r,Sl^e .5+C^" &_Qj r.9 $ .uly; C-h^ 61 9 .51La*-; ..rri.s- JLr JJaJ J S.Jo+"- S J,.'L fJr tt F-, .!. Lf t.rU -Y a r a5 l, )_.* -pri 1.,Ju:;I ]{;.S,- (JJl-) JS^:i .;-f 5.r 'r *-{;; Zp os-: "/L-;';l-r ,"1tl ,tt 5_ "-#t-i .r;l+-l S_...rf r.l;-:- tt .r-l ..ro.:.r-;Li ..'-i! ,s- l-- .:l.r--l ,s z a)el3 jl ,r.rb aSlrl,r Z o.u -L(; ,l ,-:-i:- a- ,-_ .r;rc ._glrlsl+; ,ri,_F JS.:. .i-l oui dil,l (* ) Jr-p ,i ,l o.r-i ocre'l[tfl 6qt r.: a5 r9L;Lo .rJ ..,r-L_;l=i l-- ---lp slt G'z oLti;l ;r, :(; .l ;l*i J*L) "r^i!.r. () a1-1,o.,e-..1 . L f ( 2 0 = | ' , - i z P ' d ( l n Z ) n - 2 0 d = lr,l'=t-ln61l' PL 2L 2LaJ4 u = - - . r - 7 7r A nLc ' Length of the Filter{mm) ?,, Gr ,r.g'WfIJrt'i- (v) tl"r Js: (-il|) -YJS.i 10 15 20 Frequency(GHz) I/ _ out v d (ln Z ) / dz 6p a-rt' ,}.,-.t+;19^'1sl9;.r- ( ) Jr.p -6r JA4 0 < Z < Z osgJa )l ej- r.r a5 19; ,=-.nj :JJJ J-619; ..ll ._tt' ,J,-..; "*Sr ,.J^-, .J$l.i 1 d ln(Z ) = L_ *- r,rn,r,p BpaB2 d z 2 r .9lrl a, lrr_;JJ-f J- s_! ;lj |:- ,gls (Y) Jr.p Jb jl., ",r d(lnZ)ldz ,l:;^.f, "|y'.: *J5t C-t, .glrlc*_,:;l9F- ti.l,_ 4L-91.n-.$_|,_t' cd$ 9 ou--J.ir j;d Z aaiia .plri-l etj ,rJL ..,}f &t- I W/H .,9-:, .cf*- el-b F Jrr i$ .(JJ|-Y) c5tdfu .rJ :r*,, cr ro$ ,?lrb ;Lr *;[5-p (Y) -1 z 4 z S sL rc tl.i s-;tft {-4;j- -fJiSj Y. .c-l o.r; o,rl.:;Ll (Y) I (v-Y)
  • 3. dhp rlrlPli o r.flpl gp 6uri0+ c)"jlprs O*brrL- Jr.*: cslr o-. .'r..;'lr.t dL-,6DGS .(2) r (A) cat{$-; d,;-:r I .5rl* J* .F Jtf _r:d" ,f )" iLJ JfLe [tVl ;t e;;;;l{: r - DCS..ros.r-.-,b1, t+i *;tS.p ,BL ,.grl.i.- J-'- ;l aJ crs:;L,o .g:-l or-i d-5 ,"k11 -L;:jl ,sl{f {-.i J*! .Ojt- , , ;t. . ".:U- .i-l ,.=-:- ,rjl ' . "l b'.r5 ;L;;, 't.-Y. GHz oJgJ* .rr a5 .r.;9; .r-f ,fS:;t rlu .J9-G- JL.cl ."J*: --lp ;Ie d+.qgsl+,'.. DGS Jl- .- .l u4aj* (V-:,) r (Y-*LJD 6LaJSi ;l a5 cpCLo -i,-!;i ut, jl .r*"-r or:J rs Ai &t, .l-tf .:r"qt 6lJ, C-;l ; i.(.-_ c.j>,r" d sL:.r DGS .f a,;L; b DGS .:!rr.JL , -l ::o.ror ,=aJ,t.Qll_r;l:s.n!, .r;t lt-lil t-l .,';:ls p=+ly; ;t..i-is9, .uLr,: .9i-+.;,..:; ,l* Ji { + t{ii +- d5 .r-tl-:a Ur;* l4i .:l-r-; _rt-:r U! ,,J .5)+ "l=*; *9. c-l ;S.- .r*! .:L-; c*-t> !b5 9 ;t .;_l!l ..^. , DGS .JJ,+F ;J:j t--;-;lr,^l ,.r_l.,1L+r'-.s" {"f Jf j* rr.;;t- l-_rli J* rc DGS a5 c-l njY.r_l;rQ.-t_s- ud_l;l csUq.;*"U".> .cr;L co.J9ltu;& lr,_;JF _,li iJ,J ;1.' ."1;19;.r. DGS ;.lls ,lr-6lr ..--l o..'iJgJa ti Jii; Lji_lfl ,J4t :-.Sl-l_k t{ I, L) a--i:- C.rlL,.r 9 6jL- 4*.i -f J* r. t+l -i)lSl di ;l.s ey .r_l jl cr- .r-r-? ojl.;.5,- .,,_U,BL .r; a:j;L ..--16 DGS 6;Jf 9 6jL .,, i e_H , *L- &t, ti o.ri a;jL ;t.s ;l JSI et L ts)l:;L ;,_l .;-l o.r."i(y) j5.i ,.: ;i c;U. JSr O*i'-$ ..r;.u .5jL ,.,i Ansoft HFSS l0 Rogers RT/duroid ;._;1L cjgt ,.'.ou i5L ;$ o.r"_r(A) ,[: ,.: 8,.=6.15,h=1.27 c,L-;:^ t 6006 9 o.r-i qg.,fo;l,sl ,,-.lG- ,c a5 .rJ .3)t5t ..1ry ,r- .i)L-l "!s a1,lli dlt "9-,r. d.U-)L o.r*;.91La*; .;L.SjlrS .;__r:,1 yL .S,-FJI 6J y-_)E rl.r; rs .- :lst$l Jb'l I tari5';s.-rr*5 I c-*!G + Ol9, .r- ,Lo)U;L ,_r_lOs.rett! tJl+ e-tii jl ! ,j*e r, -L!> -> ,c ,:l+ ar_lCts ,Jiltt' F^t!- lr-l ...f, orLll .t-oDGS J*^ )J ;aJii -; .-,-|4..l+ ,.d-ht" dp-lu:Jl .Jli .s- 5.'ro (1) ,$J _r.:c_*t> DGS .r-lP -Y J9-r+ 6lei9, ;l *5- , -' a-!;J a..r-i-o.rca5 a;tsil^o DGS ;l ocli- -l .Yt-l.SL+5*r)G -ii- ,r:lj srSt"c '': .o s!-cy- ,t'r* L-5-"1-r*. cstdt-x .t" DGS ..-l,tr.s." DGS .s9-:,r.- .5> -";19..f- ;r^; az;- cs9.ttr 6 I o-r-- LS)- .rg)ly LC ,1,r. c,rq-+ .$lf .j. .=..Lr a9, o-:-ly *;ll,r- DGS ar.::; tJ.J9i.s- J.r^ JU:l t! 9 .5.;l- ,1., i -lrL-s ..-r5 Jr-r ,K ,t=- ;t^s;19-1 -[f tl "-tt rJ rr> 9 -it5: .rlL JSI ,r-rr.9rl.r- Ju .c-t ".r^lIw] rjt: 4i t9lr- DGS &- .r-lrt .rh# (f ) Jii ,c fy'^ Gp Lr.c-'l o.r*ia.!!rl,r;-:^" ""iLf-r, tr ,.o!ir .:t rl .JcL* 5rl.u J,r" 1loctc.,l 9 Jr_.rii .r"St ,Jrj,.l .,-*rl-l-L -L^:;l 1l r..i .Jli.,- oJj or.r> DGS o"lrt .re-:.=r r, .'t-. drlJrSl,, .,-l-,L,9.iJUl ,SL .d;1= 4 f ,r-l*;"lrL c-l e;le JS.:, ;l aScesUL.o .r" i iy .r.-;L;L-_l 6lp DGS .:L-l L; a# .r- rlf; .[t o] ."_1.--+ .r,fL- .J-sl [to] DGS 6111.5cQ::--,,S|h s.l.l; ;e, -f,li: .+ J.r.;-i (Y J,ar);-tj **;5p &t" jl.5 ojFL. 6DGS 4-?j+ ..r-!i "-;t ,.r ;l.,.i cr5.t c cr-:+<rcsl-* ;l=i c,_r+-+ '-Y' GHz .rr.,;d oog.rza_r.:af .uiL,r. .-_,LA# 4a 4-?yt+ ,#. a.,.,-a+ .ri J."e,Krl=- Y dielectric tnate.ial ptrarneter a[ a tnne rn do loop to gct the desircd f-requency respolrse .Jp.,^ ,r-lrr 4tt'- DGS
  • 4. tf lpl t9p 6uri0 a duillds Og*Eri, dh+o 6lPtia 1 6 1 1 1 6 2 0 Frequency (GHz) (e) .erl.r-J.u (-) DGS JSr (JJD.-rlt- DGS 5tolt$L -i,15; ,li *-;tt.r, ad;:i (e).oui c ..r, H:;'rh; 9DGS oll$l 9 a-.r.:.o1r...-L:" ,C!" ".;l5i ,,-5.p i-ci ,,-l J-:t;J t_;^4 *;lr.r. t+l OIS- DGS J-- ,; ,L:.!L dd;-ii .,*.l.i"l ,*"J ;& .C]., .$tiL5. 6 1 1 Frequency(GHz) (e) c;;lu J-r- (-) .DGS Jls.i (JJD.-rlt DGS .eLorL>L-4,[i ,,l .-;l5t c- i-:: (e) PLC 1=PLC 2 I (.+) dl I I o gl I th DGS [:r":rii I u,;r1' " " i 1 " P l I P )i o^-^^ H t r ' + L Lp (v) DGS YY
  • 5. 1_;hp 8lp{.a.o rJlHldp 6lrriga drrllols gp>2L (.iJD TUNNING tl =*l U' 0 5 1 0 1 5 2 0 2 5 3 0 F equency(GHz) (v) DGS t.-r: q+ r..f- Gr' /: rLsL (-iJD-Y Jitu tl:i 6il'/ 1*iq:r (-) (Y) r+G (-) .r"=!- s-A .r-.,s LoDGS JK-.)-; (JJD-(1)Js:j iplL * r> J> rJ ".u *>lrb;J+ CL".';Lfl F. 6F Aa*t -A tj L,r-.;-19ts- rff..,-L, ;1*i.5-_.aJG-,,_l,s of.4+6lr-t u.;.l 9o-' '. *-llt tf ss ,tr r+:- JU:l DGS e.5.:lQ:;'rr................DGS ;l .iy! .Fl5.p rs ;lj .rfl^c .glrl.r o.r-; --lP --:1j ; ,l 6.r '. 6.5L,: .l JS-: st-J .; 6i J-;L i J:..-.r /A .5r9-s -"! 9 fGHz CU, "".[5_e rS, )-. o.r r.r>l"la ;l.s *!ti,r- Y.GHz t- Y.dB .r,-; s.' '.:4ail .. €,.=6.75,h=1.27 ;'Loz:^ t{ -_)-lyL - l 0.5 5.5 .t0.5 15.5 Frequency(GHz) 20-522 (v) (tli + (v).e.',(-;,ll) (.iJ l) or-l a5L;lJ -AJli - Simulated ---'Measured YY
  • 6. drlJt-d.oncl}^+ ^ dlHlgp 6ruri4 ^ dil)ois o#)iL udl+o irlpLa-o .* [11] Marc Le Roy, Andr'e P'erennec,Serge Toutain and L'eon Claude Calvez, "The Continuously Varying Transmission-Line Technique-Application to Filter Design", IEEE Trans. On Microwave Theory and Techniques,vol.47, no. 9, September1999. [12] DagerCesardeAlencarandLeonardoR. A. X. Menezes,memberIEEE,"Direct Synthesis of MicrowaveFilters Using Modified Smalt Reflections Theory", MTT-S IMOC'99 Proceedings,1999- [13] R. E. Collin, Foundationsfor Microwave Engineering,2nd.New York, MA: McGraw- Hill,2000 [14] J. S. Park, "An Equivalent Circuit and Modeling Method for Defected Ground Structuresand lts Applicationto The Design of Microwave Circuits," Microw. J. Nov. 2003.[Online].Available:www.micom [15] N. C. Karmakar,S. M. Roy, and I. Balbin, "Quasi-StaticModeling of DefectedGround Structure", IEEE Trans. On Microwave Theoryand Techniques,vol. 54, no. 5, May 2006. [16] Han-Jan Chen, Tsung-Hui Huang, Chin- ShengChang,Lih-ShanChen,Na-Fu War-rg, Yeong-HerWang,andMau-PhonHoung,"A Novel Cross-ShapeDGS Applied to Design Ultra-Wide Stopband Low-Pass Filters", IEEE Microwave and WirelessComponents Letters,vol. 16,no.5,MAY 2006. [17] Adel B. Abdel-Rahman,Anand K. Verma, Member,IEEE, Ahmed Boutejdar,andA. S. Omar, "Controlof BandstopResponseof Hi- Lo MicrostripLow-PassFilter Using Slot in Gror.nd Plane", IEEE IEEE Trans. On MicrowaveTheory and Techniques,vol. 52, no.3,March2004. etf tl] J.S.Hong and M.J.Lancaster,"Microstrip Filtersfor M/Microwave Applications".John Wiley& Sons,2001. [2] M-H.Weng,R-Y.Yuan,T-H.Huang,H-J.Chen, and M-P Houng,"SpuriousSuppressionof a Microstrip Bandpass Filter Using Three Types of RectangularPBG Loops," IEEE Trans. On Ultrasonics, Ferroelectris,and FrequencyControl,vol.52,r'ro.3,pp-487-490, March2005. [3] L. Garde,M. J.Yabar,andC. D. Rio,"Simple Modelingof DGS to Design ID-PBG Low PassFilter,"Microw. Opt. Technol.Lett.,vol. 3l , no. 3, pp. 228-232,May 2003. [4] H.-W.LiLr,X.-W. Sun,andZ.-F.Li, "A Low- PassFilter of Wide Stopbandwith a Novel Multilayer Fractal Photonic Bandgap Strllctllre,"Microw. Opt. Technol.Lett., vol. 40,no.5, pp.431432,Mar.2004. [5] D. Ahn,J.S.Park,C. S.Kim, J.Kim, Y. Qian, andT. Itoh,"A Designof the Low-PassFilter usirrgthe Novel Microstrip DefectedGround Structure," IEEE Trans. Microw. Theory Tech.,vol.49,no.l, pp.86-93,Jan.2001. [6] K.Lu, "An Efficient Method for Analysisof Arbitrary Nonuniform TransmissionLines". IEEE Trans.MicrowaveTheory& Tech.vol. MIT-4S.pp.9-l4.I' an.1997. [7] P. P. Robertsand G. E. Town, "Designof Microwave Filters by lnverse Scattering," IEEE Trans.Microwave Theory Tech.,vol. 43 ,no.4,Apr. 1995. [8] C. L. Edwards,M. L. Edwards,S. Cheng,R. Stilwell, and C. C. Davis, "A Sirnplified Analytic CAD Model for LinearlyTapered Microstrip Lines," in IEEE MTT-S Int. Microwave Symp. Dig., 2004, pp. 2101- 2104. t9] Leonardo R.A.X. de Menezes, "New Developmentsin Inverse ScatteringTLM (TransrnissionLine Matrix) Method", IEEE MTT-S2001Processing [0] Renatode PdduaMoreira,StudentMember, IEEE, and LeonardoR. A. X. de Menezes, Member, IEEE, "Direct Synthesis of Microwave Filters Using InverseScattering Transmission-LineMatrix Method". IEEE Trans. On Microwave Theory and Techniques,vol.48,no.72,Decernber2000. Yf