Towards a Reconfigurable FFT Application to Digital Communication Systems

download Towards a Reconfigurable FFT Application to Digital Communication Systems

of 18

Transcript of Towards a Reconfigurable FFT Application to Digital Communication Systems

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    1/18

    8/ @o{sjk}n{ jo

    ^`onm {lm cme`oo`oe jd l}fho`{p" ymjybm lhtm hbuhp~ uho{mk {j njff}o`nh{m u`{l mhnl j{lms/[jkhp" {l`~ jcgmn{`tm smfh`o~ {lm ~hfm hb{lj}el h l}em {mnlojbje`nhb ~{my lh~ cmmo {hamo ~`onm{lm s~{ njff}o`nh{`jo b`oa/ Fjsm smnmo{bp" u`{l {lm kmtmbjyfmo{ jd mbmn{sjo`n~ ~p~{mf~" {lmo}fcms jd `o{msnjoomn{mk kmt`nm~ lh~ njo~`kmshcbp `onsmh~mk hok {lm x}m~{ jd ymsdjsfhonm~

    cmnjfm~ fjsm hok fjsm h smhb`{p/@o {l`~ njo{m|{" k`e {hb njff}o`nh{`jo ~p~{mf~ lhtm ysjt`kmk ho mdn`mo{ hb{msoh{`tm {jnbh~~`nhb hohbje kmt`nm~/ Djs m|hfybm" `o {lm {mbmnjff}o`nh{`jo kjfh`o" h~ hohbje {mbmt`~`jouh~ h esmh{ {mnlojbje`nhb ysjesm~~ bm~~ {lho h nmo{}sp hej" >K LK {mbmt`~`jo ~m{~ hsm n}ssmo{bp

    cm`oe njffmsn`hb`wmk hok u`bb ysjesm~~`tmbp smybhnm {lm jbk kmt`nm~/[lm ysjb`dmsh{`jo hok ths`m{p jd ~}nl k`e`{hb kmt`nm~ lhtm hb~j bmk {j {lm mbhcjsh{`jo jdf}b{`ybm ~{hokhsk~ km~{ omk {j mh~m {lm m|nlhoem jd `odjsfh{`jo cm{ummo {lm k`ddmsmo{kmt`nm~/ ]odjs{}oh{mbp" {lmsm hsm ~{`bb {jj fhop ~{hokhsk~ {j `fysjtm {lm yjs{hc b`{p hok`o{msnjoomn{ jo~ cm{ummo k`ddmsmo{ ~p~{mf~/ [lm m|`~{monm jd ~}nl ho hfj}o{ jd ths`j}~~{hokhsk~ `~ smbh{mk {j mnjojf`nhb hok {mnlojbje`nhb njo~{sh`o{~ c}{ hb~j {j yjb`{`nhb hok

    ~{sh{me`nhb smh~jo~ ul`nl fham~ {lm `o{msjymshc`b`{p cm{ummo ~{hokhsk~ tmsp k`dn}b{/ [l`~emomshbbp `fyj~m~ {lm moe`omms~ {j km~`eo h~ fhop n`sn}`{~ h~ ~{hokhsk~ ul`nl ~mmf~ tmsp`omdn`mo{ hok fhp cm ~mmo h~ h uh~{m jd {`fm hok fjomp/ [l`~ ~jb}{`jo `~ mtmo ujs~m h~ hyhs{`n}bhs ~{hokhsk kjm~ oj{ k`ddms njfybm{mbp dsjf hoj{lms jom/ [lmsm hsm emomshbbp h bj{ jd~`f`bhs`{`m~ cm{ummo ~{hokhsk~ `o {msf~ jd ysjyj~mk hbejs`{lf~ hok d}on{`jo~/ @{ `~ ~jfm{`fm~

    ~}dn`mo{ {j fjk`dp ~jfm yhshfm{ms~ jd h ~ymn`n hbejs`{lf {j nlhoem dsjf jom ~{hokhsk {jhoj{lms/Djs m|hfybm" `o n}ssmo{ njff}o`nh{`jo ~p~{mf~" fhop hyyb nh{ jo~ smdmss`oe {j ~mtmshb~{hokhsk~ fham }~m jd Js{ljejohb Dsmx}monp K`t`~`jo F}b{`ybm|`oe ,JDKF) fjk}bh{`jo~,Um`o~{m`o $ Mcms{" 8058) ~}nl h~ K`e`{hb [mssm~{s`hb [mbmt`~`jo Csjhknh~{`oe ,K[[C)" K`e`{hbH}k`j Csjhknh~{`oe ,KHC)" U`smbm~~ Bjnhb js Yms~johb Hsmh Om{ujsa ,UBHO&UYHO)"LjfmYb}e 8/9 hok LjfmYb}e HT" LpymsBHO" EYY" Bjoe [msf Mtjb}{`jo ,B[M)" m{n/[lm JDKF ys`on`ybm `~ fh`obp ch~mk jo {lm }~m jd {lm Dh~{ Dj}s`ms [sho~djsf ,DD[) hok `{~@otms~m ,@DD[) ,Y/ K}lhfmb $ F/ Tm{{msb`" 8009)/ Ljumtms" {lm ~`wm~ jd DD[ mfybjpmk `o hbb

    Dbjsmo{ Nhfhskh"Gmho&Nls`~{jylm Ysmtjbm{ hok Dhc`moom Oj}tmb@M[S*@O^H Smoom~

    Dshonm

    [juhsk~ h Smnjod`e}shcbm DD[ 7 Hyyb`nh{`jo{j K`e`{hb Njff}o`nh{`jo ^p~{mf~

    89

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    2/18

    {lm~m ~{hokhsk~ hsm ths`j}~/ KTC ~{hokhsk~ }~m 39;953 yj`o{~ DD[" {lm nl`om~m K[T ~{hokhsk mfybjp~ h>5)" `o ul`nl h ~mnjok DD[ ~`wm `~jd{mo ommkmk djs ~ponlsjo`wh{`jo/@o jskms {j kmtmbjy h f}b{`&~{hokhsk~ smnm`tms" {lm ~jb}{`jo ul`nl `~ }~}hbbp sm{h`omk cpfho}dhn{}sms~ njo~`~{~ `o `fybmfmo{`oe ths`j}~ @o{mbbmn{}hb Ysjyms{`m~ ,@Y~) cbjna~" mhnlh~~jn`h{mk {j h }o`x}m d}on{`jo hok h }o`x}m ~{hokhsk/ [l`~ ~jb}{`jo `~ jd{mo }okms&jy{`f`wmk`o {lm ~mo~m {lh{ `{ kjm~ oj{ hbbju {lm sm}~m jd njfyjomo{~ u {l`o {lm nl`y hok {l}~ njo~{`{}{m~h uh~{m jd lhskuhsm sm~j}snm~/Hoj{lms hyysjhnl `~ {j km~`eo h emoms`n hok }o`x}m ~p~{mf nhyhcbm jd kmhb`oe u`{l {lm~ymn`nh{`jo~ jd k`ddmsmo{ ~{hokhsk~/ [l`~ n`sn}`{ lh~ {j cm km~`eomk `o ~}nl h uhp {lh{ `{f}~{ cm hcbm {j hkhy{ `{~mbd {j h yhs{`n}bhs ~{hokhsk js h kmk`nh{mk hyyb`nh{`jo/

    [l`~ njonmy{" aojuo h~ kpohf`n smnjoe}shc`b {p" ysjt`km~ oj{ jobp h l`el ffim|`c`b {p c}{ hb~jymsf`{~ {j njo~`kmshcbp smk}nm {lm {`fm {j fhsam{ hok {lm km~`eo mddjs{/Kpohf`n smnjoe}shc b`{p `~ h yjumsd}b njonmy{ ~`onm `{ mohcbm~ h n`sn}`{ {j nlhoem `{~d}on{`johb`{p jo {lm ffip hnnjsk`oe {j {lm }~ms~ ommk~ js {lm mot`sjofmo{hb njok`{`jo~/[lm kpohf`n smnjoe}sh{`jo fhp cm ymsdjsfmk h{ k`ddmsmo{ esho}bhs {`m~ kmymok`oe jo{lm {mnlojbjep/ Djs m|hfybm" ~jfm n`sn}`{~ hbbju {j cm smnjoe}smk h{ h eh{m bmtmb cpfjk`dp`oe {lm njo{mo{~ jd h bje`n mx}h{`jo/ [l`~ `~ {py`nhbbp {lm nh~m jd DYEH~ n`sn}`{~ ,D`mbkYsjeshffhcbm Eh{m Hsshp) ul`nl hsm u`km~ysmhk n`sn}`{~ {lh{ njo~{`{}{m h ejjk hb{msoh{`tm{j H^@N~ ,Hyyb`nh{`jo ^ymn`n @o{mesh{mk N`sn}`{~)/ J{lms n`sn}`{~ fhp cm smnjoe}smk h{ hl`elms bmtmb jd esho}bhs`{p" djs m|hfybm h{ h d}on{`johb bmtmb/ @o {l`~ nh~m" h ~ymn`n jymsh{js,js d}on{`jo) `~ fjk`mk {j nlhoem {lm cmlht`js jd ho hyyb`nh{`jo/

    @o emomshb" {lm bmtmb jd ymsdjsfhonm~ kmymok~ jo {lm esho}bhs`{p jd smnjoe}sh{ jo/ @d {lmesho}bhs`{p `~ tmsp om" {lm ffim|`c`b`{p `~ l`el c}{ {lm {`f`oe ymsdjsfhonm~ hsm tmsp bju ~`onmh bj{ jd sm~j}snm~ lhtm {j cm smnjoe}smk/ H~ h njo~mx}monm" {lm {`fm ul`nl `~ omnm~~hsp {jsmnjoe}sm {lm ~p~{mf njo~{`{}{m~ h smhb `~~}m hok b`f`{~ {lm }~m jd ~}nl n`sn}`{~ `o smhb {`fmmfcmkkkmk ~p~{mf~ ulmsm {`f`oe njo~{sh`o{~ hsm emomshbbp {`el{/Omtms{lmbm~~" ~jfm n`sn}`{~ fham `o{mo~`tm }~m jd smnjoe}sh{`jo h{ h l`el bmtmb jd esho}bhs {p

    hok ymsf`{ {j jc{h`o oj{ jobp l`el ymsdjsfhonm~ c}{ hb~j ffim|`c`b {p/ [l`~ `~ emomshbbpymsdjsfmk cp smnjoe}s`oe ~ymn`n jymsh{js~ js esj}y jd jymsh{js~ `o jskms {j nlhoem {lmkm~`eo d}on{`johb`{p/@o {l`~ hs{`nbm" um ysm~mo{ h omu ~p~{mf nhyhcbm jd kmhb oe u`{l f}b{ njff}o`nh{`jo~{hokhsk~/ [lm ch~`~ jd {l`~ ujsa lh~ njo~`~{mk `o kmtmbjy`oe h }o`x}m DD[ jymsh{js ul`nl

    `~ nhyhcbm jd cm`oe smnjoe}smk {j hkhy{ {j {lm k`ddmsmo{ ~{hokhsk~ ~ymn`nh{`jo/ @o j}s nh~m"{lm DD[ jymsh{js ~lj}bk cm hcbm {j njfy}{m DD[~ jd ~`wm 3A" ;A" 5

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    3/18

    3/ DD[ Hbejs`{lf~

    [lm Dj}s`ms {sho~djsf `~ h tmsp }~md}b jymsh{js djs `fhem js ~`eohb ysjnm~~`oe/ [l}~ `{ lh~cmmo m|{mo~`tmbp ~{}k`mk hok {lm b`{{msh{}sm hcj}{ {l`~ ~}cgmn{ `~ tmsp s`nl/ [lm K`~nsm{m Dj}s`ms

    [sho~djsf ,KD[) `~ }~mk djs {lm k`e`{hb ~`eohb ysjnm~~`oe hok `{~ m|ysm~~`jo `~ e`tmo `o ,8)

    \,a) 6

    o6

    |,o)mg3oaO ,8)

    @{ hyymhs~ jct`j}~ {lh{ {l`~ m|ysm~~`jo nho oj{ cm njfy}{mk `o h o`{m {`fm k}m {j {lm `oo {mcj}ok~/ Dsjf {lh{" {lm }~}bbp njfy}{mk m|ysm~~`jo `~ {lm O&yj`o{~ Dh~{ Dj}s`ms [sho~djsfe`tmo `o ,3)

    \,a) 6O8

    o69

    |,o)mg3oaO ,3)

    [lm m|ysm~~`jo jd {lm DD[ `~ cj}okmk hok njfy}{hcbm u`{l h o`{m hbejs`{lf`n njfybm|`{p/[l`~ njfybm|`{p `~ m|ysm~~mk h~ ho jskms jd f}b{ yb`nh{`jo~ hok hkk`{`jo~/ Njfy}{`oeh O&yj`o{~ DD[ u`{lj}{ hop ~`fyb`nh{`jo smx}`sm~ ho hbejs`{lf`n njfybm|`{p jd J,O3)f}b{`yb`nh{`jo~ hok J,O3) ulmsm J kmoj{m~ {lm #jskms jd# f}b{`yb`nh{`jo~ hok hkk`{`jo~/Oj{m {lh{ {lm smhb o}fcms jd hkk`{`jo~ `~ O,O 8) ul`nl `~ J,O3)/ [l`~ smk}n{`jo jdnjfybm|`{p `~ ljumtms oj{ ~}dn`mo{ djs {lm bhsem DD[ ~`wm~ {lh{ hsm }~mk `o fhop k`e`{hbnjff}o`nh{`jo~ ~{hokhsk~/

    H esmh{ smk}n{`jo jd {l`~ njfybm|`{p nho cm hnl`mtmk cp }~`oe ho mdn`mo{ hbejs`{lf/ @{ m|`~{~fhop DD[ hbejs`{lf~ {lsj}el {lm b`{{msh{}sm b`am {lm Shk`| hbejs`{lf ,G/ U/ Njjbmp $ G/ U/[}amp" 804=)" {lm Ys`fm Dhn{js Hbejs`{lf ,YDH) hb~j nhbbmk Ejjk [ljfh~ Hbejs`{lf ,@/ G/Ejjk" 80=) ysm~mo{{lm kmnjfyj~`{`jo djs {lm K@[ ul`bm mx}h{`jo~ ,;) hok ,=) hsm djs {lm K@D/ [lhoa~ {j {l`~ {lm

    hbejs`{lf`n njfybm|`{p cmnjfm~ smk}nmk {j J, O33

    ) ~`onm O 6 3/

    8

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    4/18

    \,a) 6O8

    o69

    |,o)mg3oaO

    6 KD[O3

    |,3o)

    ! mg3

    aO KD[O*3

    |,3o ! 8)

    u`{l o

    9" ///"

    O

    3 8

    ,>)

    [l`~ kmnjfyj~ {`jo `~ nhbbmk K@[ cmnh}~m {lm O {`fm ~hfybm~ hsm smjskmsmk `o {uj esj}y~ jdO*3 ~hfybm~/ Jom esj}y njo{h`o~ {lm mtmo `okm|mk ~hfybm~" ul`bm {lm ~mnjok jom njo{h`o~{lm jkk `okm|mk ~hfybm~/ DD[ jd ~`wm O*3 hsm {lmo njfy}{mk djs mhnl esj}y/ [lm dsmx}monp~hfybm~ hsm njfy}{mk `o jskms/

    \,3a) 6O8

    o69

    |,o)mg3o3a

    O

    6 KD[O3

    |,o) ! |,o !

    O

    3)

    u`{l a

    9" ///"

    O

    3 8

    ,;)

    \,3a ! 8) 6O8

    o69

    |,o)mg3o,3a!8)

    O

    6 KD[O3

    |,o) |,o !

    O

    3)

    mg3

    oO

    u`{l a

    9" ///"

    O

    3 8

    [l`~ kmnjfyj~`{`jo `~ nhbbmk K@D cmnh}~m {lm mtmo `okm|mk dsmx}monp ~hfybm~ hsm njfy}{mk

    cp {lm s~{ O*3&yj`o{~ DD[ ul`bm {lm jkk `okm|mk ~hfybm~ hsm njfy}{mk cp {lm ~mnjok jom/[lm {`fm ~hfybm~ hsm oj{ smjskmsmk cmdjsm njfy}{h{`jo/ @o jskms {j ~`fyb`dp {lm~m mx}h{`jo~hbb {msf~ `o mg3

    |O hsm }~}hbbp m|ysm~~mk h~ U|O/

    |,9)

    |,O 3)

    O*3

    O*3&yj`o{

    DD[

    Mtmo `okm|

    |,8)

    |,O 8)

    O*3

    O*3&yj`o{

    DD[

    Jkk `okm|

    !

    !

    !

    !

    U9

    O

    UO

    38

    O

    UO

    3

    O

    UO8

    O

    \,9)

    \,O3 8)

    \,O3

    )

    \,O)

    O*3 O*3

    O*3 O*3

    D`e/ 8/ Shk`|&3 Kmn`fh{`jo @o [`fm

    8

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    5/18

    D`e}sm ,8) smysm~mo{~ {lm njfy}{h{`jo jd {lm ysmt`j}~ K@[/ U`{l {l`~ ~{s}n{}sm `{ `~ ~{`bbomnm~~hsp {j ymsdjsf O f}b{`yb`nh{`jo~ cp {lm {u`kkbm dhn{js~ UaO {j njfy}{m {lm O DD[j}{y}{~/ Ljumtms `{ `~ yj~~`cbm {j }~m h ysjyms{p jd {lm {u`kkbm dhn{js~ m|ysm~~mk `o ,=)" {jsmfjtm lhbd jd {lm~m f}b{`yb`nh{`jo~" cp smybhn`oe ~jfm hkk`{`jo~ cp ~}c~{shn{`jo~/

    U|! O3O 6 U

    |O ,=)

    [lmo {lm jy`f`wmk K@[ kmnjfyj~`{`jo u`bb cm njfy}{mk h~ ysm~mo{mk `o e}sm ,3)

    |,9)

    |,O 3)

    O*3

    O*3&yj`o{

    DD[

    Mtmo `okm|

    |,8)

    |,O 8)

    O*3

    O*3&yj`o{

    DD[

    Jkk `okm|

    !

    !

    U9

    O

    UO

    38

    O

    \,9)

    \,O3

    8)

    \,O3

    )

    \,O)

    O*3 O*3

    O*3 O*3

    D`e/ 3/ ^`fyb`mk Shk`|&3 Kmn`fh{`jo @o [`fm

    D`e}sm ,>) ysm~mo{~ {lm njfy}{h{`jo ~nlmfm djs {lm K@D kmnjfyj~`{`jo/ @o {l`~ bh~{ jom" `{hyymhs~ {lh{ {lm O {`fm ~hfybm~ hsm ysmnjfy}{mk `o jskms ul`bm {lm dsmx}monp ~hfybm~hsm smjskmsmk `o ho mtmo `okm|mk esj}y hok ho jkk `okm|mk esj}y/ [l`~ kmnjfyj~`{`jo

    hb~j smx}`sm~ O3 f}b{`yb`nh{`jo~ cp {lm {u`kkbm dhn{js~ hok }~m {lm ~hfm Shk`|&3 c}{{msffip`o ysm&njfy}{h{`jo {lh{ uh~ }~mk djs {lm yj~{ njfy}{h{`jo jd {lm K@[ njfy}{h{`jo/Djs {lm~m bh~{ {uj ~nlmfm~" {lm hbejs`{lf`n njfybm|`{p `~ heh`o smk}nmk jd O3 f}b{`yb`nh{`jo~

    c}{ `~ ~{ bb J, O33

    )/ Ljumtms" `d {lm DD[ ~`wm `~ yjums jd 3" {l`~ kmnjfyj~`{`jo nho cm ymsdjsfmk

    }o{`b smx}`s`oe J, O3 bje3,O)) 3&yj`o{~ DD[ c}{{msffi`m~/ Cmnh}~m {lm njfy}{h{`jo jd h 3&yj`o{~DD[" smysm~mo{mk e}sm ,;)" kjm~ oj{ `otjbtm hop f}b{`yb`nh{`jo" ~}nl kmnjfyj~`{`jo smx}`sm~

    jobp f}b{`yb nh{ jo~ cp {lm {u`kkbm dhn{js~/ [l`~ bmhk~ {j ho hbejs {lf`n njfybm|`{p jdJ, O3 bje3,O))/D`e}sm = ~lju~ {lm sm~}b{ jd ~}nl h kmnjfyj~`{`jo djs h

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    6/18

    |,9)

    |,O3 8)

    O*3

    O*3&yj`o{

    DD[

    Mtmo `okm|

    |,O3

    )

    |,O 8)

    O*3

    O*3&yj`o{

    DD[

    Jkk `okm|

    O*3

    O*3

    !

    !

    U9O

    UO

    38

    O

    \,9)

    \,O 3)

    \,8)

    \,O 8)

    D`e/ >/ Shk`|&3 Kmn`fh{`jo @o Dsmx}monp

    !

    ,9)

    ,8)

    ,9) 6 ,9) ! ,8)

    ,8) 6 ,9) ,8)

    ,9)

    ,8)

    ,9)

    ,8)

    D`e/ ;/ Shk`|&3 C}{{msffip

    |,9)

    |,;)

    |,3)

    |,4)

    |,8)

    |,=)

    |,>)

    |,5)

    \,9)

    \,8)

    \,3)

    \,>)

    \,;)

    \,=)

    \,4)

    \,5)

    U9)

    809 Dj}s`ms [sho~djsf~ & Omu Hohbp{`nhb Hyysjhnlm~ hok D[@S ^{sh{me`m~

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    7/18

    [l`~ c}{{msffip ljumtms ysm~mo{~ h eh`o smehsk`oe {lm hbejs`{lf`n njfybm|`{p ulmo `{ `~ }~mk`o~{mhk jd {lm Shk`|&3 cp smk}n`oe {lm omnm~~hsp o}fcms jd ~{hem~ `o {lm kmnjfyj~`{`jo/ [lmfhgjs kshuchna jd }~`oe {l`~ hbejs`{lf `~ {lh{ `{ `~ ~}`{hcbm djs DD[ ~`wm~ {lh{ hsm yjums jd ;"ul`nl smk}nm~ njo~`kmshcbp {lm mbk jd hyyb`nh{`jo~/

    H~ u`{l {lm Shk`|&3 js {lm Shk`|&; hbejs`{lf" `{ `~ yj~~`cbm {j }~m {lm Shk`|&S hbejs`{lf djsj{lms S thb}m~/ Omtms{lmbm~~" {lm Shk`|&S c}{{msffip u`bb smx}`sm oj {s`t`hb f}b{`yb`nh{ jo~`o{j {lm c}{{msffip hok {l}~ `onsmh~m `{~ hbejs`{lf`n njfybm|`{p/ [lm mx}h{`jo 5 ~lju~ {lh{Shk`|&> c}{{msffip njfy}{h{ jo smx}`sm~ ; njfybm| f}b{`yb`nh{ jo~ cp njmdn`mo{~ hsj}ok {lm}o`{ n`snbm/ Yhp h{{mo{ jo oj{ {j njod}~m {lm~m njmdn`mo{~ u`{l {lm {u`kkbm dhn{js~ ommkmk

    cm{ummo {lm ~{hem~/

    \,9) 6 |,9) ! |,8) ! |,3)

    \,8) 6 |,9) ! U8> /|,8) ! U3> /|,3) ,5)

    \,3) 6 |,9) ! U3> /|,8) ! U

    8> /|,3)

    M|nmy{ djs S f}b{`ybm jd 3" ulmsm `{ fhp cm kmnjfyj~mk cp }~`oe S 6 3 js S 6 ;" h Shk`|&Sc}{{msffip smx}`sm~ ,S 8)3 f}b`yb`nh{`jo~ hok S,S 8) hkk {`jo~/ [l}~ {lm njfybm|`{pcmnjfm~ J,S3bjeS,O))/ [l`~ `~ {lm smh~jo ulp ~`wm~ ul`nl hsm yjums jd {uj hsm ysjfj{mk`o fj~{ jd k`e`{hb njff}o`nh{`jo ~{hokhsk~/

    3/3 F`|mk&shk`| hbejs`{lf

    [lm Shk`|&3 hbejs {lf ysjyj~mk cp Njjbmp hok [}amp nho cm kms`tmk {j ysjt`km {lmf`|mk&Shk`| hbejs`{lf ,S/ N/ ^`oebm{jo" 8040) ,E/ B/ KmF}{l" 80/@o {l`~ njoe}sh{`jo" {lm DD[ u`bb cm njfy}{mk cp h s~{ hok h ~mnjok ~{hem jd ~`| Shk`|&3

    c}{{msffi`m~ hok h {l`sk ~{hem jd dj}s Shk`|&> c}{{msffi`m~/ Omtms{lmbm~~ {l`~ DD[ nho hb~j cmnjfy}{mk cp j{lms kmnjfyj~`{`jo~ ~}nl h~ O 6 3 > 3" O 6 > 3 3" O 6 > ; jsO 6 ; >/ K}m {j {lm smk}nmk o}fcms jd njfy}{h{ jo ~{hem~ hok {j {lm jy{`fhb njfybm|`{pjd {lm Shk`|&; c}{{msffip" {lm bh~{ {uj kmnjfyj~`{`jo~ u`bb smx}`sm {lm bjums njfybm|`{p/[j ~}ffhs`wm" {lm njfybm|`{p jd h Shk`| js F`|mk&Shk`| hbejs`{lf~ u`bb kmymok jo {lmnjfybm|`{p jd {lm Shk`|&S c}{{msffi`m~ {lh{ hsm }~mk hok {lm o}fcms jd {u`kkbm dhn{js~omnm~~hsp cm{ummo {lm ~{hem~/

    3/> Hktho{hem~ jd {lm U`ojeshk dj}s`ms {sho~djsf hbejs`{lf

    @o 805

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    8/18

    Djs h DD[ jd ~`wm O {lh{ nho cm kmnjfyj~mk `o O 6 S8 S3 ul`nl hsm f}{}hbbp ys`fm~" {lmfhyy`oe u`bb cm km{msf`omk cp {lm djbbju`oe s}bm~/D`s~{ {lm `oy}{ kh{h tmn{js Q|,9)///|,O 8)V lhtm {j cm smjskmsmk `o h {uj k`fmo~`joohb fh{s`|jd ~`wm ,S8" S3)/ [lm yj~`{`jo ,so " no) jd {lm ~hfybm |,o) `o {l`~ fh{s`| `~ e`tmo cp {lm smbh{`jo

    ,5

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    9/18

    @o {l`~ ~mn{`jo" um djn}~ jo {lm ysm~mo{h{`jo jd ho hsnl`{mn}sm kmk`nh{mk {j h f}b{`ybm K`e`{hb[mssm~{s`hb [mbmt`~`jo Csjhknh~{ oe ,K[[C) kmfjk}bh{`jo/ [lm njonmsomk ~hokhsk~ hsm KTC&[,M[^@" 399;)" @^KC&[ ,HS@C" 3998) hok K[FC ,Nl`om~m Oh{`johb ^{hokhsk" 3994) djs ul`nl {lmyj~~`cbm DD[ ~`wm~ hsm 39;< ,3A)" ;904 ,;A)" 5 ; = 5 6 ;39 yhs{" hbb {lm~m ;39&yj`o{~ DD[ njfy}{h{`jo~lhtm {j cm ysjnm~~mk `o {lm bh~{ ~{hem~/

    C}{{msffi`m~ Njoe}sh{`jo^{hem 8 ^{hem 3 ^{hem > ^{hem ; ^{hem = ^{hem 4

    >5 UD[H&> UD[H&> Shk`|&; UD[H&= UD[H&539;< Shk`|&3 Shk`|&; Shk`|&; Shk`|&; Shk`|&; Shk`|&;;904 Shk`|&; Shk`|&; Shk`|&; Shk`|&; Shk`|&; Shk`|&;

    /3 Jymsh{`oe km~ns`y{`jo

    [lm O njfybm| ~hfybm~ njssm~yjok`oe {j {lm ^o JDKF {`fm kjfh`o ~pfcjb hsm ~{jsmk `o{lm `oy}{ c}ddms/ K}s`oe {l`~ ~{jshem" {lm UD[H*Shk`| fjk}bm jd {lm s~{ ~{hem ysjnm~~m~`{~ njfy}{h{`jo hnnjsk`oe {j {lm smx}`smk njoe}sh{`jo ,Shk`|&3" UD[H> js Shk`|&;)/ [l`~ysjnm~~ `~ ymsdjsfmk jo {lm O ysmt`j}~bp ~{jsmk ~hfybm~ {lh{ njo~{`{}{m {lm ^o8 JDKF~pfcjb/Mhnl ~}c~mx}mo{ fjk}bm ymsdjsf~ {lm ~hfm jymsh{`jo `o yhshbbmb }o{`b {lm UD[H*Shk`|

    fjk}bm `o {lm ~{hem 4" {lh{ jymsh{m~ jo {lm ^o4 JDKF ~pfcjb/ Ul`bm {lm~m njfy}{h{`jo~ hsmymsdjsfmk" {lm dsmx}monp kjfh`o ~hfybm~ njssm~yjok`oe {j {lm DD[ jd {lm ^o5 hsm hth`bhcbmh{ {lm j}{y}{ c}ddms/

    80>[juhsk~ h Smnjod`e}shcbm DD[ 7 Hyyb`nh{`jo {j K`e`{hb Njff}o`nh{`jo ^p~{mf~

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    10/18

    @oy}{

    C}ms

    ^pfcjb

    Fmfjsp

    ^pfcjb

    Fmfjsp

    ^pfcjb

    Fmfjsp

    ^pfcjb

    Fmfjsp

    ^pfcjb

    Fmfjsp

    ^pfcjb

    Fmfjsp

    J}{y}{

    C}ms

    K}hb Yjs{ Fmfjs`m~ Kh{h F}b{`ybm|js

    [u`kkbm

    Cbjna

    [u`kkbm

    Cbjna

    [u`kkbm

    Cbjna

    [u`kkbm

    Cbjna

    [u`kkbm

    Cbjna

    Shk`|*UD[HShk`|*UD[H Shk`|*UD[H Shk`|*UD[H Shk`|*UDH Shk`|*UDH

    mnjod`e}shcbm

    Njo{sjb

    ^{hem 8

    mnjod`e}shcbm

    Njo{sjb

    ^{hem 3

    mnjod`e}shcbm

    Njo{sjb

    ^{hem >

    mnjod`e}shcbm

    Njo{sjb

    ^{hem ;

    mnjod`e}shcbm

    Njo{sjb

    ^{hem =

    mnjod`e}shcbm

    Njo{sjb

    ^{hem 4

    Smnjoe}shcbm ^ponlsjo`~h{`jo

    Kh{h

    @oy}{

    Kh{h

    }{y}{

    M|{msohb Njo{sjb

    K}hb Yjs{ Fmfjs`m~ Hkksm~~ F}b{`ybm|js

    Hkksm~~

    Kmnjkms

    @oy}{

    S U

    Hkksm~~

    Kmnjkms

    ^{hem 8

    S U

    Hkksm~~

    Kmnjkms

    ^{hem 3

    S U

    Hkksm~~

    Kmnjkms

    ^{hem >

    S U

    Hkksm~~

    Kmnjkms

    ^{hem ;

    S U

    Hkksm~~

    Kmnjkms

    ^{hem =

    S U

    Hkksm~~

    Kmnjkms

    ^{hem 4

    S U

    Hkksm~~

    Kmnjkms

    J}{y}{

    S U

    ^{hem 8 ^{hem 3 ^{hem > ^{hem ; ^{hem = ^{hem 4

    ^o

    ^pfcjb

    ^o8

    ^pfcjb

    ^o3

    ^pfcjb

    ^o>

    ^pfcjb^o;

    ^pfcjb

    ^o=

    ^pfcjb^o4

    ^pfcjb

    ^o5^pfcjb

    D`e/ 4/ 4 ~{hem~ smnjoe}shcbm hsnl`{mn{}sm djs DD[

    H~ ~jjo h~ {lm ^o ~pfcjb `~ njfybm{mbp ~{jsmk" {lm k`ddmsmo{ njfy}{h{`jo ~{hem~ f}~{ cmnjfybm{mk/ Fmfjs`m~ hsm {lmo n`sn}bhsbp ~u {nlmk `/m/ {lm ysmt`j}~bp `oy}{ c}ddms cmnjfm~ {lm~pfcjb fmfjsp 8" {lm ~pfcjb fmfjsp ` cmnjfm~ {lm ~pfcjb fmfjsp ` ! 8 hok {lm j}{y}{

    c}ddms cmnjfm~ {lm omu `oy}{ c}ddms/ [l`~ ymsf}{h{`jo `~ ymsdjsfmk cp {lm {uj fmfjspf}b{`ybm|ms~" jom djs {lm kh{h c}~" {lm j{lms djs {lm hkksm~~ c}~/Ulmo {lm hbejs`{lf smx}`sm~ {lm {u`kkbm dhn{js~ f}b{ yb`nh{`jo~" {lm~m jymsh{`jo~ hsmnjfy}{mk cp {lm {u`kkbm cbjna h{ {lm j}{y}{ jd {lm c}{{msffip" cmdjsm cm`oe ~{jsmk `o {lm ~pfcjbfmfjsp/

    >/> Ysm~mo{h{`jo jd {lm Ysjnm~~`oe Cbjna~

    >/>/8 UD[H*shk`| fjk}bm

    Mhnl UD[H*Shk`| fjk}bm `~ njfyj~mk jd {lsmm ~{hem~/ H s~{ ~{hem h`f~ {j njfy}{mhkk`{`jo~" h ~mnjok ymsdjsf~ {lm f}b{`yb`nh{`jo~ cp njmdn`mo{~ hok {lm bh~{ hkkms ~{hememomsh{m~ {lm j}{y}{ sm~}b{~/ [lm e}sm ,5) ysm~mo{~ {lm hsnl`{mn{}sm jd ~}nl h fjk}bm/D`s~{" {lm ~m{ jd c}{{msffip `oy}{~ hsm ~{jsmk `o {lm c}{{msffip `oy}{ sme`~{ms/ H~ ~jjo h~ yj~~`cbm"{lm hkkms*~}c~{shn{js ~{hs{~ {j ysjnm~~ {uj thb}m~/ [lm~m thb}m~ hsm m`{lms {lm {`fm kjfh`o~hfybm~ ~{jsmk `o {lm sme`~{ms js h ysmt`j}~ sm~}b{ ul`nl njfm~ dsjf h smnjoe}shcbm kmbhp

    cbjna/ [lm ~mnjok ~{hem ymsdjsf~ h f}b{ yb`nh{`jo jd {lm sm~}b{~ njf`oe dsjf {lm s~{ ~{hem cp{lm njmdn`mo{~ ul`nl hsm ~{jsmk `o {lm njmdn`mo{ fmfjsp/ H~ {lm njmdn`mo{~ hsm m`{lms smhb js

    80; Dj}s`ms [sho~djsf~ & Omu Hohbp{`nhb Hyysjhnlm~ hok D[@S ^{sh{me`m~

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    11/18

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    12/18

    >/>/> ^pfcjb fmfjs`m~" hkksm~~ kmnjkms~

    [lm ~pfcjb fmfjs`m~ lhtm {j cm njoomn{mk {j {lm s`el{ ~{hem kmymok`oe jo {lm njfy}{h{ jo~{my/ [lmo" k}s`oe {lm njfy}{h{`jo ~{hem" {lm fmfjsp u`bb ~mok kh{h {j {lm c}{{msffip ul`bmsmnjsk`oe kh{h dsjf {lm {u`kkbm cbjna/ [lm {`fm kjfh`o ~hfybm~ hsm jtmsus`{{mo cp {lm

    dsmx}monp kjfh`o ~hfybm~/ Omtms{lmbm~~" {lm smhk hok us`{m hkksm~~m~ hsm hbuhp~ k`ddmsmo{h{ {lm ~hfm {`fm" k}m {j {lm c}{{msffip bh{monp/ Djs {lh{ y}syj~m" h ^`fybm K}hb Yjs{ ShokjfHnnm~ Fmfjsp ,^KY&SHF) lhtm cmmo `fybmfmo{mk/ [lm ~`wm jd {l`~ Shokjf Hnnm~~ Fmfjsp,SHF) lh~ cmmo kmomk hnnjsk`oe {j {lm fh|`f}f o}fcms jd yj`o{~ {j cm njfy}{mk `o {lmkm~`eo ,3 c`{~ ,84 c`{~ djs {lm smhb yhs{hok 84 c`{~ djs {lm `fhe`ohsp yhs{)/ [l}~" {lm ~`wm jd {lm ~pfcjb fmfjsp lh~ cmmo ~m{ {j3 84 3aC/[lm hkksm~~ kmnjkms~ njfy}{m {lm s`el{ ~mx}monm jd fmfjsp hkksm~~ {lh{ lhtm {j cm smhkhok us`{{mo/ [l}~ ho hkksm~~ kmnjkms cbjna `~ kmk`nh{mk {j h ~{hem jd njfy}{h{`jo/ H~ {lm~`wm jd {lm DD[ nho cm smnjoe}smk" {lm~m cbjna~ hb~j lhtm {j cm smnjoe}smk/

    >/; Ymsdjsfhonm~ jd {lm 4&^{hem~ hsnl`{mn{}sm

    [lm njfybm{m hsnl`{mn{}sm lh~ cmmo ~`f}bh{mk hok `fybmfmo{mk jo ho Hb{msh ~{sh{`|

    MY>^M=9D;< 4"0;> 39 ;9Hb{msh

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    13/18

    `{ yj~~`cbm {j mot`~hem {lm `fybmfmo{h{`jo jd {l`~ hsnl`{mn{}sm jo{j H^@N~ ul`nl emomshbbpysm~mo{ l`elms ymsdjsfhonm~ hok m|l`c`{ fjsm bje`nhb sm~j}snm~/

    >/;/3 [`fm ymsdjsfhonm~

    [lm {`fm {lh{ `~ smx}`smk {j ~{jsm h njfybm{m ~pfcjb `o{j {lm `oy}{ c}ddms SHF `~ {lm JDKF~pfcjb k}sh{`jo [JDKF/ [l`~ k}sh{`jo kmymok~ jo {lm ~hfyb`oe dsmx}monp" {lm ~`wm jd {lm@DD[ hok {lm e}hsk `o{msthb k}sh{`jo" }~mk djs {lm {sho~f`~~`jo/ [lm f`o`f}o [JDKF hokh~~jn`h{mk fh|`f}f JDKF {lsj}ely}{ djs mhnl ~{hokhsk hok DD[ ~`wm~ hsm ysjt`kmk `o[hcbm ,>)/

    KTC @^KC [KFC

    >530 >

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    14/18

    Ysjyj~mk 4&~{hem~Hb{msh @Y

    Hsnl`{mn{}sm

    ^pfcjb sh{m 3A ;

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    15/18

    @oy}{

    C}ms^pfcjb

    Fmfjsp

    J}{y}{

    C}ms

    K}hb Yjs{ Fmfjsp Kh{h F}b{`ybm|js

    [u`kkbm

    Cbjna

    Shk`|*UD[H

    mnjod`e}shcbm

    Njo{sjb

    ^{hem 8

    Smnjoe}shcbm ^ponlsjo`~h{`jo

    Kh{h

    @oy}{

    Kh{h

    }{y}{

    M|{msohb Njo{sjb

    K}hb Yjs{ Fmfjsp Hkksm~~ F}b{`ybm|js

    Hkksm~~

    Kmnjkms

    @oy}{

    S U

    Hkksm~~

    Kmnjkms

    ^{hem 8

    S U

    Hkksm~~

    Kmnjkms

    J}{y}{

    S U

    Hbb ~{hem~

    D`e/ 0/ 8&~{hem smnjoe}shcbm hsnl`{mn{}sm djs DD[

    ;/3 Smnjoe}sh{`jo jd {lm hsnl`{mn{}sm

    H~ {lm smnjoe}sh{`jo jd {lm UD[H*Shk`| Fjk}bm~ djs {lm 4&~{hem~ hsnl`{mn{}sm jnn}s~ jobpulmo {lm DD[ ~`wm `~ fjk`mk" {lm smnjoe}sh{`jo `~ njfybm{mbp ~{h{`n/ Jo {lm j{lms lhok"{lm C}{{msffip fjk}bm jd {lm 8&~{hem hsnl`{mn{}sm f}~{ cm smnjoe}smk k}s`oe s}o{`fm/ [l`~smnjoe}sh{`jo `~ yj~~`cbm hbfj~{ `o~{ho{homj}~bp/ @o dhn{" jobp {lm njo{sjb jd {lm sm~j}snm~lh~ {j cm smnjoe}smk/ [l}~ `{ `~ yj~~`cbm {j smnjoe}sm `{ cp }~`oe h f}b{`ybm|mk njo{sjb/

    800[juhsk~ h Smnjod`e}shcbm DD[ 7 Hyyb`nh{`jo {j K`e`{hb Njff}o`nh{`jo ^p~{mf~

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    16/18

    ;/> Sm~j}snm~ ]~hem djs {lm 8&^{hem hsnl`{mn{}sm

    [lm 8&~{hem hsnl`{mn{}sm lh~ cmmo `fybmfmo{mk `o{j {lm ~hfm DYEH {hsem{/ [lm njssm~yjok`oesm~j}snm~ }~hem `~ ~}ffhs`wmk `o [hcbm ,4)/ @o {l`~ njoe}sh{`jo" {lm jc{h`omk sm~}b{~ hsm fjsmnjfym{ {`tm {lho Hb{msh @Y~" m~ymn`hbbp djs fmfjsp }~hem/ [l`~ fhp mh~`bp cm ~mmo ulmo

    njfyhs`oe {lm o}fcms jd fmfjsp c`{~ `o {lm 39 ;9Hb{msh

  • 8/3/2019 Towards a Reconfigurable FFT Application to Digital Communication Systems

    17/18

    H fhgjs hktho{hem jd {l`~ hsnl`{mn{}sm `~ `{~ yj~~`c b`{p {j cm kpohf`nhbbp smnjoe}smkdsjf jom {j hoj{lms DD[ ~`wm/ [l`~ hbbju~ {j sm}~m {lm ~hfm n`sn}`{ {j njfy}{m ~mtmshbDD[ ~`wm~ u`{l`o {lm ~hfm fjk}bh{`jo*kmfjk}bh{`jo ~{hokhsk" h~ `{ `~ omnm~~hsp u`{l {lmK[FC ~{hokhsk js {lm ^N&DKFH fjk}bh{ jo/ H~ m|ybh`omk `o ~mn{`jo ;" {l`~ hsnl`{mn{}sm

    ysjt`km~ h l`el ffim|`c`b`{p {lh{ ymsf`{~ {j hnl`mtm {lm cm~{ njfysjf`wm cm{ummo lhskuhsmsm~j}snm~ hok njfy}{h{`jo {lsj}ely}{/ Djs ysj{j{py`oe y}syj~m~" {l`~ hsnl`{mn{}sm lh~ cmmo~}nnm~~d}bbp ~`f}bh{mk hok `fybmfmo{mk `o h DYEH/ Omtms{lmbm~~" {lm hsnl`{mn{}sm {hsem{~ ho`fybmfmo{h{`jo `o H^@N n`sn}`{~ ulj~m {mnlojbjep m|l`c`{~ l`elms ymsdjsfhonm~ {lho DYEH/D}s{lmsfjsm" {lm mbk jd hyyb`nh{`jo `~ u`km djs {l`~ hsnl`{mn{}sm/ H~ fh`obp m|ysm~~mk" {lmnjotmsemonm jd f}b{ ybm ~{hokhsk~ `o h ~hfm kmt`nm fhp cm ymsdjsfmk u`{lj}{ fybmfmo{`oe~mtmshb fjk}bh{ jo js kmfjk}bh{`jo n`sn}`{~/ Hoj{lms m|hfybm fhp cm {j mot`~hem ho`fybmfmo{h{ jo jd JDKF*F@FJ ,F}b{`ybm @oy}{ F}b{`ybm J}{y}{) ~p~{mf~ ~`onm {lmo}fcms jd DD[~ k`smn{bp ths`m~ u`{l {lm o}fcms jd ho{mooh~ `o {l`~ {pym jd hyyb`nh{`jo~/D`ohbbp" {lm~m njonmy{~ fhp hb~j cm }~mk `o h ~jd{uhsm shk`j njo{m|{ ~`onm `{ kmhb~ u`{l

    smnjoe}sh{`jo jd sm~j}snm~ hnnjsk`oe {j {lm nlhoomb js {j mot`sjofmo{hb nlhoem~/

    4/ Smdmsmonm~

    Um`o~{m`o" ^/ C/ $ Mcms{" Y/ F/ ,8058)/ Kh{h {sho~f`~~`jo cp dsmx}monp&k`t`~`jo f}b{`ybm|`oe}~`oe {lm k`~nsm{m dj}s`ms {sho~djsf" @o 7 @MMM [sho~hn{`jo~ jo Njff}o nh{`jo[mnlojbjep" tjb 80" yy/ 43;

    G/ Uhoe" W/ Phoe" N/ Yho" F/ Lho $ B/ Phoe ,399>)/ H njfc`omk njkm hnx}`~`{`jo hok ~pfcjb{`f`oe smnjtmsp fm{ljk djs [K^&JDKF " @o 7 Csjhknh~{`oe " @MMM [sho~hn{`jo~ jo" tjb/

    ;0" yy/ >9;&>953Y/ K}lhfmb $ F/ Tm{{msb` ,8009)/ Dh~{ Dj}s`ms {sho~djsf~7 h {}{js`hb smt`mu hok h ~{h{m jd {lm

    hs{" @o 7 ^`eohb Ysjnm~~`oe" tjb/ 80" yy/ 3=0&300G/ U/ Njjbmp $ G/ U/ [}amp ,804=)/ Ho hbejs {lf djs {lm fhnl`om nhbn}bh{`jo jd njfybm| dj}s`ms

    ~ms`m~ " @o 7 Ysjn/ Fh{l/ Njfy/" yy/ 305&>98^/ U`ojeshk ,8055" OJ/0" yy/ 8>;0&8>=5