Relatório_Exp6_O Espectro de Frequência de Sinais Modulados Em Largura de Pulso_Processadores Digitais Em Controle e Automação_Quad5.2

7/21/2019 Relatrio_Exp6_O Espectro de Frequncia de Sinais Modulados Em Largura de Pulso_Processadores Digitais Em Co

1/17

WLNRG[_NCFCG BGCG[FD CA FKO

BG[LFLCA EGL[NVWG HAMG_ YWOFSGDDN

BG[LFLCF _NDRF HWNYN

Praogssfcargs Cnhntfns gm Oaltradg g Futamfofa9

Dfkarftarna 29 A Gspgotra cg Brgquglonf cg _nlfns Macudfcas gmDfrhurf cg Pudsa

_FLSA FLC[G

;5 CG LARGMK[A CG ;063


2/17

6

6 Nltracuofa

A ak igtnva cgstf ftnvncfcg gxpgrnmgltfd g rgfdnzfr f flfdnsg cg cgsgmpglea cf tgolnof

cg macudfofa gm dfrhurf cg pudsa (PXM Pudsg Xncte Macudftnal). F mgtacadahnf

sghuncf curfltg f prftnof fcatau a ofdouda cf SEC (Satfd Efrmalno Cnstartnal) g f pda-

tfhgm gspgotra cg BBS (Bfst Baurngr Srflsbarm) oama pfrfmgtras pfrf f oampfrfofa

cg pgrbarmflog cas snlfns nmpdgmgltfcas lfs snmudfoags.

F PXM g a tnpa cg macudfofa mfns nmpartfltg pfrf fpdnofofa gm snstgmfs cg patglonf.

Gdf sg cgstfof par pgrmntnr f trflsbgrglonf cg patglonf pfrf umf ofrhf tglca pgrcf rg-

snstnvf munta pgquglf. Gm um onrounta macudfcar PXM, umf oefvg cg gstfca sadnca

g oamutfcf rfpncfmgltg cg barmf f hgrfr lf sfcf ca onrounta umf alcf qufcrfcf. F

tglsfa barlgoncf f umf ofrhf lf sfcf ca onrounta sgrf f tglsfa mgcnf cf alcf qufcrfcf.

Gstf mgcnf g fiustfcf oalbarmg a vfdar ca Cuty Oyodg (Onoda cg Srfkfdea) qug g a vfdar

pgrogltufd cg tgmpa qug f alcf qufcrfcf pgrmflgog gm lvgd fdta curfltg um pgraca.

Partflta quflta mfnar bar a Cuty Oyodg mfnar sgrf f patglonf trflsbgrncf pfrf f ofrhf.

Bnhurf 69 Gxgmpda Macudfofa PXM.

Gmkarf a oalvgrsar PXM passf praparonalfr umf oalvgrsfa CO pfrf CO, fprgsgltf

muntfs oampalgltgs efrmalnofs (ruca). F stm cg oamprgglcgr fs mucflofs cg oaltgucaefrmalnoa oam vfrnfoags la onoda cg trfkfdea, f trflsbarmfcf cg Baurngr g usfcf.

F Cnstarofa Efrmalnof Satfd (SEC) g umf mgcncf cf cnstarofa efrmalnof prgsgltg

g g cgstlncf oama rfzfa cfs samfs cfs patglonfs cg tacas as oampalgltgs efrmalnoas gm

rgdfofa patglonf cf f brgquglonf bulcfmgltfd. Gm snstgmfs cg patglonf umf SEC kfnxf

snhlnstof kafs oalcnoags gdgtrnofs ca snstgmf.

%S EC= 600

Rn

R6;

(6)

Barfm nmpdgmgltfcfs cgltra ca fmkngltg _nmudnlj o cans snstgmfs oam f utndnzfofa

cf tgolnof cg macudfofa PXM.


3/17

;

F Bnhurf ; gxnkg a prnmgnra snstgmf la qufd umf alcf sglancfd g macudfcf oam f

tgolnof mglonalfcf. Pfrf gstg snstgmf vfrnau-sg as pfrfmgtras cg snmudfofa cgNlcnog cg

Macudfofa cg Fmpdntucg (nmf) gNlcnog cg Macudfofa Brgquglonf (nmb) pfrf f aktglofa

ca mglar vfdar SEC.

Bnhurf ;9 Kdaoas ca snmudnlj pfrf f snmudfofa 6.

If f Bnhurf ? gxnkg um snstgmf qug gmudf a oampartfmglta cg um matar CO ouia

barlgonmglta cg oarrgltg g oaltradfca pgdf macudfofa PXM. Pfrf gstf sghulcf snmudfofa

tfmkgm vfrnau-sg a pfrfmgtra cgNlcnog cg Macudfofa cg Fmpdntucg fdgm cg fdtgrfr as

vfdargs cfs mftrnzgs qug macgdfm gm gspfoa cg gstfca a matar CO. Gstf fdtgrfofa cas

vfdargs lfs mftrnzgs tnvgrfm a nltglta cg snmudfr bfdefs cg arnhgm gdgtrnofs au mgoflnofs.

Bnhurf ?9 Kdaoas ca _nmudnlj pfrf fs _nmudfoags ; g ?.

As prahrfmfs gstfa cgsorntas lf _gofa3. As prahrfmfs barfm fdtgrfcas pfrf hgrfrgm

dfoas b ar oam as pfrfmgtras f sgrgm tgstfcas sfdvflca f mftrnz oam as rgsudtfcas grgspgotnvas hrfstoas.

; [gsudtfcas

;.6 Flfdnsg cg Baurngr cg um snlfd sglancfd PXM - _nmudfofa 6

F Sfkgdf6fprgsgltfcf as rgsudtfcas oam nmf = 0, 8 g f Sfkgdf ;pfrf a nmf = 3.

As vfdargs ofdoudfcas sfa fs oamknlfoags las nltgrvfdas b m Z60:600], oam pfssa 6

nmb Z60:?0], oam pfssa 7, e Z600: ?00], oam pfssa 600, fssnm tgstfmas 67 oam-

knlfoags cnbgrgltgs pfrf fs >6 brgquglonfs tgstfcfs tatfdnzflca 6?27 oamknlfoags fs qufns


4/17

?

aksgrvfmas qug a SEC lfa vfrnf snhlnstofltgmgltg oalbarmg f brgquglonf b m utndnzfcf,

fssnm gxnknmas as 67 prnmgnras rgsudtfcas, rgspgotnvas f brgquglonf cg 60 Ez g as 67

udtnmas pfrf f brgquglonf cg 600 Ez.

Oam f vfrnfofa ca lcnog cg macudfofa gm fmpdntucg (nmf), aksgrvau-sg qug a SEC

cnmnlun oalbarmg a fumglta cgstg pfrfmgtra. Partflta quflta mfns praxnmfs sfa fs

fmpdntucgs cf alcf sglancfd g cf alcf trnflhudfr partfcarf mglar sgrf a SEC.

Rfdg sfdngltfr qug a rgsudtfca aksgrvfca pfrf nmf = 3, fpgsfr cg fprgsgltfr um

mglar SEC aksgrvfca, trfz oalsnha f sakrg-macudfofa. Gstg bglamgla aoarrg quflca

a nmf < 6, nsta g, f fmpdntucg ca snlfd sglancfd udtrfpfssf f fmpdntucg cf partfcarf

trnflhudfr. A rgsudtfca g qug fdhumfs cfs nltgrsgooags gltrg f tglsfa cg rgbgrglonf (alcfsglancfd) g cg partfcarf (alcf trnflhudfr) sfa pgrcncfs g pudsas sfa rgmavncas cf barmf

cg tglsfa cf sfcf. Pfrf hrflcgs vfdargs cg nmf, fs ulnofs nltgrsgooags qug gxnstgm

aoarrgm la oruzfmglta par zgra cf tglsfa sglancfd.

Sfkgdf 69 [gsudtfcas pfrf f snmudfofa 6 oam nmf = 0,8.

n Nmb e SEC [M_ n Nmb e SEC [M_

660

600 6,86 0,>56 6?7660

600 6,808 0,>8>; ;00 6,8?; 0,>>0 6?7; ;00 6,8;2 0,>58

? ?00 6,83 0,>>? 6?7? ?00 6,8?6 0,>>03

67600 6,252 0,>80 6?73

67600 6,256 0,>25

7 ;00 6,86> 0,>53 6?77 ;00 6,86 0,>502 ?00 6,8?; 0,>>0 6?72 ?00 6,86> 0,>53

8;0

600 6,22; 0,>20 6?78;0

600 6,277 0,>785 ;00 6,805 0,>50 6?75 ;00 6,2>2 0,>83> ?00 6,8;? 0,>52 6?7> ?00 6,802 0,>8>

60;7

600 6,2?8 0,>70 6?20;7

600 6,2;> 0,>3266 ;00 6,2>3 0,>83 6?26 ;00 6,28> 0,>286; ?00 6,867 0,>5? 6?2; ?00 6,2>3 0,>83

6?

?0

600 6,2;6 0,>3? 6?2?

?0

600 6,26 0,>?5

63 ;00 6,256 0,>25 6?23 ;00 6,22? 0,>2067 ?00 6,805 0,>50 6?27 ?00 6,25; 0,>25

F Bnhurf3fprgsgltf a rgsudtfca snmudfca la Mftdfk o pfrf a ofsa gm qug anmf = 0, 8

g f Bnhurf 7 , pfrf nmf = 3. Flfdnsflca as gspgotras cfs oampalgltgs cg brgquglonf,

oalstftf-sg qug ,cg bfta, f fmpdntucg cas efrmalnoas pfrf nmf= 3 g kgm mglar mglar

ca qug gm nmf= 0, 8 iustnstoflca fssnm as sgus rgspgotnvas vfdargs cg SEC.


5/17

3

Sfkgdf ;9 [gsudtfcas pfrf f snmudfofa 6 oam nmf = 3.


660

600 0,7;0 0,>>2 6?7660

600 0,7;0 0,>>2; ;00 0,7;7 0,>>5 6?7; ;00 0,7;3 0,>>8? ?00 0,7;8 0,>>> 6?7? ?00 0,7;7 0,>>5

367

600 0,385 0,>>5 6?7367

600 0,385 0,>>57 ;00 0,356 0,>>> 6?77 ;00 0,350 0,>>>2 ?00 0,35; 0,>>> 6?72 ?00 0,356 0,>>>

8;0

600 0,352 0,>>6 6?78;0

600 0,357 0,>>65 ;00 0,3>2 0,>>7 6?75 ;00 0,3>3 0,>>3> ?00 0,706 0,>>8 6?7> ?00 0,3>5 0,>>2

60;7

600 0,3>0 0,>> 6?20;7

600 0,35> 0,>>66 ;00 0,706 0,>>7 6?26 ;00 0,3>5 0,>>3

6; ?00 0,702 0,>>8 6?2; ?00 0,70; 0,>>76??0

600 0,355 0,>>; 6?2??0

600 0,352 0,>>663 ;00 0,3>5 0,>>2 6?23 ;00 0,3>2 0,>>767 ?00 0,70; 0,>>8 6?27 ?00 0,3>5 0,>>2

(f) bm= 60, nmb= 60 (k) bm= 600, nmb= 60

(o) bm= 60, nmb= ?0 (c) bm= 600, nmb= ?0

Bnhurf 39 Fmastrfs cg rgsudtfca cf snmudfofa 6 - nmf= 0.8


6/17

7

(f) bm= 60, nmb= 60 (k) bm= 600, nmb= 60

(o) bm= 60, nmb= ?0 (c) bm= 600, nmb= ?0

Bnhurf 79 Fmastrf cg rgsudtfca cf snmudfofa 6 - nmf= 3

;.; Fpdnofofa cf PXM fa matar CO (Mfdef Fkgrtf) - _nmudfofa ;

F Sfkgdf?fprgsgltf as rgsudtfcas pfrf f snmudfofa ; gm rgdfofa f flfdnsg ca oampar-

tfmglta cf tglsfa cg sfcf ca matar CO. Lavfmgltg as vfdargs cg SEC ofdoudfcas pfrf

f tglsfa cg sfcf ca matar sfa nlcgpglcgltgs cfs brgquglonfs b m cg gltrfcf. Sfmkgm

vgrnstof-sg qug SEC lfa vfrnau munta oam f mucflof ca vfdar cg nmfcg 6 pfrf 3.

Fs Bnhurfs2g8gxnkgm fdhuls cas rgsudtfcas pfrf f tglsfa cg sfcf ca matar oam

sgus rgspgotnvas lcnogs cg macudfofa gm fmpdntucg cg 6 g 3. Aksgrvf-sg gm fmkas

as ofsas as hrfstoas cf tglsfa gm PXM g sufs oampalgltgs cg brgquglonf lfa cnbgrgm

snhlnstoftnvfmgltg gltrg sn. La qug tflhg f cgtgoofa cg bfdefs, g passvgd aksgrvfr um pnoa

las hrfstoas cg cgtgoofa par glvgdapg sglca gstg pnoa mgdear vnsufdnzfca pgdf trflsbarmfcf

cg Endkgrt.


7/17

2

Sfkgdf ?9 [gsudtfcas cf snmudfofa ; - Flfdnsg cf tglsfa cg sfcf ca matar.

n Nmf Nmb e SEC [M_ n Nmf Nmb e SEC [M_

66 60

600 6,2>5 0,>26 ;523 60

600 6,2>5 0,>26; ;00 6,83> 0,>5? ;58 ;00 6,83> 0,>5?? ?00 6,825 0,>>6 ;55 ?00 6,825 0,>>6

36 67

600 6,2>5 0,>26 ;5>3 67

600 6,2>5 0,>267 ;00 6,83> 0,>5? ;>0 ;00 6,83> 0,>5?2 ?00 6,825 0,>>6 ;>6 ?00 6,825 0,>>6

86 ;0

600 6,2>5 0,>26 ;>;3 ;0

600 6,2>5 0,>265 ;00 6,83> 0,>5? ;>? ;00 6,83> 0,>5?> ?00 6,825 0,>>6 ;>3 ?00 6,825 0,>>6

606 ;7

600 6,2>5 0,>26 ;>73 ;7

600 6,2>5 0,>2666 ;00 6,83> 0,>5? ;>2 ;00 6,83> 0,>5?

6; ?00 6,825 0,>>6 ;>8 ?00 6,825 0,>>66?6 ?0

600 6,2>5 0,>26 ;>53 ?0

600 6,2>5 0,>2663 ;00 6,83> 0,>5? ;>> ;00 6,83> 0,>5?67 ?00 6,825 0,>>6 ?00 ?00 6,825 0,>>6

(f) PXM g oampalgltgs gm brgquglonf (k) Glvgdapg, cgtgoofa oam Srflsbarmfcf

cg Endkgrt

(o) Glvgdapg, cgtgoofa oam mgtaca DPB (c) BBS ca snlfd arnhnlfd

Bnhurf 29 Fmastrf cg rgsudtfca cf snmudfofa ; - nmf= 6, b m= 60, nmb= 60


8/17

8


cg Endkgrt


Bnhurf 89 Fmastrf cg rgsudtfca cf snmudfofa ; - nmf= 3, b m= 60, nmb= 60

;.? Fpdnofofa cf PXM fa matar CO (Mfdef Fkgrtf) - _nmudfofa ?

Fs Sfkgdfs3g 7fprgsgltfm as rgsudtfcas pfrf snmudfofa ? gm rgdfofa fa matar CO,

mfs fharf malntarflca f oarrgltg cg frmfcurf nf, lavfmgltg as vfdargs ofdoudfcas sfa

nlcgpglcgltgs cfs brgquglonfs b m cg gltrfcf, sglca fs 67 prnmgnrfs fmastrfs n pfrf

b m= 60 Ez g fs 67 udtnmfs pfrf b m= 600 Ez. A pfrfmgtra cg SEC stoau stxa la vfdar

cg 0,807 mgsma oam a fumglta ca nmf.F Bnhurf5pfrf a ofsa cf flfdnsg sakrg f oarrgltg cg frmfcurf nf g nmf = 6. Aksgrvf-

sg qug bfdef (pnoa) cgtgotfcf pfrf pgdas hrfstoas cg glvgdapg g munta mfns ltncf pfrf

flfdnsg cf oarrgltg nf ca qug pfrf f tglsfa. F Bnhurf60fprgsgltf a ofsa oam oarrgltg

cg frmfcurf nf g nmf= 3, lf qufd pacg sgr aksgrvfca a mgsma tnpa cg bfdef.


9/17

5

Sfkgdf 39 [gsudtfcas cf snmudfofa ? - Flfdnsg cf oarrgltg nfoam nmf= 6.


660

600 0,803 0,>25 ;5260

600 0,803 0,>25; ;00 0,807 0,>25 ;58 ;00 0,807 0,>25? ?00 0,807 0,>25 ;55 ?00 0,807 0,>25

367

600 0,803 0,>25 ;5>67

600 0,803 0,>257 ;00 0,807 0,>25 ;>0 ;00 0,807 0,>252 ?00 0,807 0,>25 ;>6 ?00 0,807 0,>25

8;0

600 0,803 0,>25 ;>;;0

600 0,803 0,>255 ;00 0,807 0,>25 ;>? ;00 0,807 0,>25> ?00 0,807 0,>25 ;>3 ?00 0,807 0,>25

60;7

600 0,803 0,>25 ;>7;7

600 0,803 0,>2566 ;00 0,807 0,>25 ;>2 ;00 0,807 0,>25

6; ?00 0,807 0,>25 ;>8 ?00 0,807 0,>256??0

600 0,803 0,>25 ;>5?0

600 0,803 0,>2563 ;00 0,807 0,>25 ;>> ;00 0,807 0,>2567 ?00 0,807 0,>25 ?00 ?00 0,807 0,>25


cg Endkgrt


Bnhurf 59 Fmastrf cg rgsudtfca cf snmudfofa ? - nmf= 6, b m= 60, nmb= 60


10/17

>


cg Endkgrt


Bnhurf >9 Fmastrf cg rgsudtfca cf snmudfofa ? - nmf= 6, b m= 600, nmb= 60

Sfkgdf 79 [gsudtfcas cf snmudfofa ? - Flfdnsg cf oarrgltg nfoam nmf= 3.


6260

600 0,803 0,>25 ;5260

600 0,803 0,>2568 ;00 0,807 0,>25 ;58 ;00 0,807 0,>2565 ?00 0,807 0,>25 ;55 ?00 0,807 0,>25

6>

67

600 0,803 0,>25 ;5>

67

600 0,803 0,>25

;0 ;00 0,807 0,>25 ;>0 ;00 0,807 0,>25;6 ?00 0,807 0,>25 ;>6 ?00 0,807 0,>25

;;;0

600 0,803 0,>25 ;>;;0

600 0,803 0,>25;? ;00 0,807 0,>25 ;>? ;00 0,807 0,>25;3 ?00 0,807 0,>25 ;>3 ?00 0,807 0,>25

;7;7

600 0,803 0,>25 ;>7;7

600 0,803 0,>25;2 ;00 0,807 0,>25 ;>2 ;00 0,807 0,>25;8 ?00 0,807 0,>25 ;>8 ?00 0,807 0,>25

;5?0

600 0,803 0,>25 ;>5?0

600 0,803 0,>25;> ;00 0,807 0,>25 ;>> ;00 0,807 0,>25?0 ?00 0,807 0,>25 ?00 ?00 0,807 0,>25


11/17

60


cg Endkgrt




12/17

66


cg Endkgrt



? Oalodusfa

Par mgna cgstf prftnof oalstftau-sg qug f vfrnfofa cg pfrfmgtras cg lcnog macudfofa

gm fmpdntucg pacg nluglonfr la vfdar cf Cnstarofa Efrmalnof Satfd (SEC) cg um snlfd

macudfca. Cgvg-sg aksgrvfr qug, pfrf qug lfa efif pgrcf cf nlbarmfofa arnhnlfd, a nmf

cgvg sgr sgmprg mglar qug 6, ca oaltrfrna a snlfd macudfca ,fpgsfr cg fprgsgltfr um

SEC kfnxa, fa sgr cgmacudfca fprgsgltfrf um snlfd cnstaronca. Par stm f cgtgoofa cg

bfdefs pgda mgtaca cg aksgrvfofa cg glvadtarna cg gspgotra mastrau-sg oama um tgolnof

gstongltg cg vnsufdnzfofa cg prakdgmfs gm um matar CO, sglca fs flamfdnfs mfns ltncfs

quflca g bgntf f flfdnsg pfrf a pfrfmgtra cg oarrgltg cg frmfcurf nf.

3 Flgxas

3.6 Prahrfmf fuxndnfr pfrf _nmudnlj ca gx6

Gstg prahrfmf cgstlg fs vfrnfvgns usfcf la cnfhrfmf ca _nmudnlj o, hgrf fs sthurfs


13/17

6;

f pfrtnr cas cfcas sfdvas lf frgf cg trfkfdea (Xarjspfog) if sfdvflca oam sgus rgs-

pgotnvas lamgs barmfcas pgdas vfdargs cfs vfrnfvgns ca dfoa bar ca Mftdfk o g tfmkgm

sfdvf f mftrnz cas rgsudtfcas gm um frqunva f pfrtg pfrf sgr gxpartfca pfrf a Gxogd o

pastgrnarmgltg a qufd ban flfdnsfca g usfca pfrf hgrfr fs tfkgdfs cgstg rgdftarna.

%% Prahrfmf fcfptfca pfrf oadgtf mfns gbnongltg cg cfcas

odo,odasg fdd

%% OalbnhQPfrfm

nmf = Z0.8 3]:

n = 0 :

R = Z ] :

bar bm=60969600

S=6/bm: % Snmg pgrnac ab bulcfmgltfd snhlfd

bar nmb=60979?0

bar e=60096009?00

odasg fdd

n = n+6:

snm(baurngrQPXMQ;00>QBEY,Z0, S]):

%% Baurngrcgo.m

cnsp(cftg)t = t - t(6): % senbt tnmg frrfy suoe teft nt stfrts wnte 0

D=dglhte(t):

S=t(D):

ba=raulc(6/S):

cnsp(ZBulcfmgltfd brgqugloy (Ez) = lum;str(ba)])

lu=0:

%%%

bar w=69snzg(b,;): % ; ns nlcnoftnlh sgoalc cnmglsnal ns ta kg cgtgrmnlgc teft ns

lu=lu+6:

cnsp(Z Bulotnal La. lum;str(lu)]):

cnsp(QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ)

cnsp( arcgr ab | fmpdntucg | pefsg)

cnsp( efrmalno | | Zcgh])

cnsp(QQQQQQQQQQQQ|QQQQQQQQQQQ|QQQQQQQQ)

h=b(9,w):

%%% Oampdgx Baurngr oagbbnonglts oj

oa=6/S*trfpz(t,h)+gps:

% bprnltb(%5.0b%6?.3bTl,0,oa)


14/17

6?

O=Z]:

rms; = oa\;:

bar j=69e

q=h.*gxp(-6n*;*pn/S*t*j):

oj= ;/S*fks(trfpz(t,q)):

pj= flhdg(trfpz(t,q))*650/pn:

O=ZO oj]: % Oaloftnlftnlh oj wnte O

bprnltb(%5.0b%6?.3b%66.;bTl,j,oj,pj)

rms; = rms;+oj\;/;:

glc

% [M_ flc SEC

rms = sqrt(rms;):SEC = sqrt(rms;-O(6)\;/;)/(O(6)/sqrt(;)):

mgfl = oa:

cnsp(Z[M_9 lum;str(rms)]):

cnsp(ZSEC9 lum;str(SEC)]):

cnsp(ZMgfl9 lum;str(mgfl)]):

cnsp(================================)

%%% Sfkgdf 6

bprnltb(QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQTl)

bprnltb( nTt|TtNmfTt|TtNmbTt|TteTt|TtSECTt|Tt[M_Tt|TtMGFLTl)

bprnltb(QQTt|TtQQQTt|TtQQQTt|TtQTt|TtQQQTt|TtQQQTt|TtQQQQTl)

bprnltb(%6cTt%;.0bTt%3.0bTt%3.3bTt%66.;bTt%66.;bTt%66.;bTl,n,nmf(w),nmb,e, SEC, r

R =ZR : n,nmf(w),nmb,e,SEC, rms, mgfl]:

%%% Pdats

arcgr=((69e+6)-6):

mfh=Zoa O]:

bnhurg(Pasntnal,Z687+w*70 80 820 777],Lfmg,stroft(Baurngr flfdysns bmQ,lum;st

sukpdat(;,6,6):

pdat(t,h,r,t,0,j,dnlgwncte,;):

fxns(Z0 S -6.; 6.;])

xdfkgd(Snmg Zs]):

ydfkgd(_nhlfd):tntdg(ZPgrnacno _nhlfd ( [M_= lum;str(rms) SEC= lum;str(SEC) ), bm= ,lum;st

hrnc al:


15/17

63

sukpdat(;,6,;):

stgm(arcgr,mfh,-ak):

xdfkgd(Efrmalno Arcgr):

ydfkgd(Fmpdntucg):

tntdg(Baurngr Oampalglts):

hrnc al:

bnhlfmg = stroft(bnhQgxQ6TbnhQgx6QbmQ,lum;str(bm),QnmbQ,lum;str(nmb),Q60nmfQ,

sfvgfs(hob,bnhlfmg):

glc

glc

glc

glcsfvg R R

3.; Prahrfmf fuxndnfr pfrf _nmudnlj ca gx ;

%% OalbnhQPfrfm

% Pfr\fmgtras cf snmudfo~fa

%%%%%%%%%%%%%%%%%%%%%%%%%%%

% ts = 70: % Curfo~fa cf snmudfo~fa gm sghulcas

ts = 6/6: % Snmg pgrnac ab bulcfmgltfd snhlfd

So = 0.006: % Sgmpa cg fmastrfhgm

% Pfr\fmgtras ca matar gm oalcno~ags lamnlfns

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

r = 0.7: d = 0.6: jm = 0.;7: k = 0.5: I = 0.3:

Fo = Z-r/d -jm/d: jm/I -k/I]:

Ko = Z6/d 0: 0 -6/I]:

Oo = Z6 0: 0 6]:

Co = Z0 0:0 0]:

ZF,K,O,C]=o;cm(Fo,Ko,Oo,Co,So,tustnl):

% Pfr\fmgtras ca matar gm oalcno~ags cg bfdef

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


16/17

67

rb = 0.7*0.7: db = 0.6: jmb = 0.;7: kb = 0.5: Ib = 0.3:

Fo; = Z-rb/db -jmb/db: jmb/Ib -kb/Ib]:

Ko; = Z6/db 0: 0 -6/Ib]:

Oo; = Z6 0: 0 6]:

Co; = Z0 0: 0 0]:

ZFb,Kb,Ob,Cb]=o;cm(Fo;,Ko;,Oo;,Co;,So,tustnl):

x0 = Z0.06 0.06]:

% Aksgrvfcar cg gstfcas

%%%%%%%%%%%%%%%%%%%%%%%

v = Z0.52 0.58]: % futavfdargs aksgrvfcar

%tby = ts/;: % Mamglta cf bfdef

tby = 600:

J = pdfog(F,O,v):

Fa = F - J * O: Ka = ZK J]: Oa = O: Ca = zgras(;,3):

% Ca = zgras(;,?):

Gm sghuncf vgm a mgsma prahrfmf ca gxgroona 6 ftg ouia stlfd oaltgm f oefmfcf

pfrf f bulofa glvgdapg.

%% Glvgdapg

Bs = 6/So:

glvgdapg(nf,Bs, bm, nmf , nmb, e, SEC):

_glca gstf bulofa cgsorntf fkfnxa

y=glvgdapg(snhlfd,Bs, bm, nmf , nmb, e, SEC):

y=snhlfd:

bnhurg():

L=76;:S=L/Bs:

snhQb=fks(bbt(y(69L),L)):

snhQl=snhQb/(larm(snhQb)):


17/17

62

brgqQs=(09L-6)/S:

pdat(brgqQs(;9;70),snhQl(;9;70)), hrnc al:

tntdg(stroft(BBS ab Arnhnlfd _nhlfd, , bm ,lum;str(bm),, nmbQ,lum;str(nmb),Q

bnhlfmg = stroft(bnhQgxQ;TbnhQgx;QbmQ,lum;str(bm),QnmbQ,lum;str(nmb),Q60nmfQ,


%Glvgdapg Cgtgotnal kfsgc al Daw pfss bndtgr flc tegl BBS

Zf,k]=kuttgr(;,0.6):%kuttgrwarte Bndtgr ab ; padgs flc Xl=0.6

%snhQfks=fks(snhlfd): % Ofl kg usgc nlstgfc ab squfrnlh, tegl bndtgrnlh flc

%tegl tfjnlh squfrg raat

snhQsq=;*snhlfd.*snhlfd:% squfrnlh bar rgotnbnlh

%hfnl ab ; bar mfnltnflnlh teg sfmg glgrhy nl teg autputyQsq = bndtgr(f,k,snhQsq): %fppdynlh DPB

y=sqrt(yQsq):%tfjnlh _qufrg raat

%fcvfltfhgs ab tfjnlh squfrg flc tegl _qufrg raat rftegr tefl fks, krnlhs

%aut samg enccgl nlbarmftnal marg gbbnongltdy

bnhurg():

L=76;:S=L/Bs:



brgqQs=(09L-6)/S:


tntdg(stroft(Glvgdapg Cgtgotnal9 DPB Mgteac, , bm ,lum;str(bm),, nmbQ,lum;str

bnhlfmg = stroft(bnhQgxQ;TbnhQgx;QbmQ,lum;str(bm),QnmbQ,lum;str(nmb),Q60nmfQ,


%Glvgdapg Cgtgotnal kfsgc al Endkgrt Srflsbarm flc tegl BBS

flfdy=endkgrt(snhlfd):

y=fks(flfdy):

bnhurg():

% L=;*;035:S=L/Bs:

L=76;:



brgqQs=(09L-6)/S:


tntdg(stroft(Glvgdapg Cgtgotnal 9 Endkgrt Srflsbarm, , bm ,lum;str(bm),, nmbQbnhlfmg = stroft(bnhQgxQ;TbnhQgx;QbmQ,lum;str(bm),QnmbQ,lum;str(nmb),Q60nmfQ,


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