7/23/2019 Prctica 9 Seales Aleatorias y Determinsticas

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NNMMTTXXNNXX[[XXAA ZZAACCNNXXDDMMNNDDAA MMLLDDNNAAMMLLCC

[[MMNNHHLLHHZZRRAAIIKKTTNNAAMMLLCCNNMMXXKKRRHHNNTTDDNNZZCCNNMMLLRRNNLL KKMMNNMMEEKKMMNNKKRRLL ^^XXKKDDMMAACCAAEELLTTLLYYLLMMPPLLHHLLTT

DDaaoo{{mmnnddllddnnaammkktt NN-- XXkkaarrll hhkk cclltt DDaaoo{{mmnnddllddnnaammkktt--

ZZrrddxxnnddll MMaa-- ::>> TTkkllcckktt LLcckkllxxaarrnnlltt ~~TTkkllcckktt HHkkxxkkrroonnmmttxxnnddlltt

ZZaarr LLcckk``llmmhhrraaRRllccPPkkrrmm FFkkrrmmmmhhkkpp ss OOll~~aa2299## 22::

7/23/2019 Prctica 9 Seales Aleatorias y Determinsticas

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kt daozlrmhacat dam cat mnykckt hk cl tklc- Hk ktxk oaha# mat nmhkzkmhnploat hk t{t ylcarkt lbtac{xat zlrl

zamkrca km daozlrldnm dam cl tklc-

Incxra Zraokhnlhar &a hk Okhnl. Oync

Kc zraokhna a okhnl oync kt kc incxra ot daom km kc Zradktlonkmxa hk Tklckt Hnenxlckt &HTZ#Hnenxlc

Tnemlc Zradktar.# zrnmdnzlcokmxk zar|{k kt kc incxra ot tkmdncca hk kmxkmhkr ~ hk {tlr- L zktlr hk t{

tnozcndnhlh# kc incxra hk okhnl oync kt zxnoa zlrl {ml xlrkl daom0 cl rkh{ddnm hk r{nha lcklxarna#

olmxkmnkmha {ml i{krxk rktz{ktxl lc ktdlcm- Ktxa ca fldk tkr kc ok`ar incxra zlrl tklckt dahnindlhlt km kc

haonmna hkc xnkoza- Tnm koblrea# cl okhnl oync kt kczkar incxra zlrl tklckt km kc haonmna hk cl irkd{kmdnl#

dam zadl dlzldnhlh zlrl tkzlrlr {ml blmhl hk irkd{kmdnlt hk axrl- Lce{mat axrat incxrat iloncnlrkt lc incxra

zraokhna oync tam0 Incxra hk El{tt# kc hk Bcldgolm# ~ kc hk zlta ocxnzck hk okhnl oync- Ktxat xnkmkm {m

ok`ar rkmhnonkmxa cnekrlokmxk km kc haonmna hk cl irkd{kmdnl# l kvzkmtlt hk ol~ar xnkoza hk daoz{xldnm-

Incxra Zraokhna km Xnkoza Hntdrkxa

&Nozckokmxldnm zar Damyac{dnm.

Daoa t{ maobrk ca nmhndl# {m incxra hk okhnl oync# azkrl {m zraokhna hk {m mokra hk z{mxat hk cl tklc hk

kmxrlhl zlrl zrah{dnr dlhl z{mxa hk cl tklc hk tlcnhl- [m incxra zraokhna km xnkoza hntdrkxa dlcd{cl kc zraokhna

hk cat cxnoat Okckokmxat hk {ml tkd{kmdnl hkxkronmtxndl t{zkrz{ktxl lc r{nha - Kc rkt{cxlha hk clazkrldnm kt kc ktxnolhar0

Tk hkbk rkdamadkr |{k kc incxra zraokhnlhar a hk okhnl oync kt# ot |{k mlhl# {ml damyac{dnm {tlmha {m

incxra hk mdcka &gkrmkc. tnozck-

O{dfat dnkmxindat k nmekmnkrat tk tnkmxkm d{czlbckt ldkrdl hkc {ta hkc incxra zraokhnlhar oync- Hkbnha l |{k

kt xlm tkmdncca# hndfa incxra kt l okm{ha cl zrnokrl iarol hk kmirkmxlr {m zrabckol hk HTZ ~ hk tklckt

t{zkrz{ktxlt lc r{nha- Ktxk incxra ma tca kt o{~ b{kma zlrl o{dflt lzcndldnamkt# kt zxnoa zlrl {m zrabckol

daom# cl rkh{ddnm hkc r{nha bclmda lcklxarna onkmxrlt tk olmxnkmk cl rktz{ktxl lc ktdlcm ot le{hl- Km clt

tne{nkmxkt ine{rlt tk o{ktxrl doa i{mdnaml kc incxra zraokhnlhar oync-

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Cl tklc km &l. kt {m z{cta damxlonmlha dam r{nha

lcklxarna- Km &b. ~ &d.# cl lddnm hk t{lynplr# hkc incxra

zraokhna oync# hntonm{~k cl lozcnx{h hkc r{nha lcklxarna

&b{kma.# tnma |{k xlobnm rkh{dk cl mnxnhkp hk cat barhkt&olca.- Hk xahat cat incxrat cnmklckt |{k zahrlm tkr

{xncnplhat# cl okhnl oync zrah{dk kc okmar r{nha zlrl {ml

mnxnhkp km cat barhkt hlhat- Kc nozarxk hk cl rkh{ddnm hkc

r{nha kt ne{lc l cl rlp d{lhrlhl hkc mokra hk z{mxat km

kc zraokhna- Zar k`kozca#

7/23/2019 Prctica 9 Seales Aleatorias y Determinsticas

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HHKKTTLLRRRRAACCCCAA

Dam l~{hl hk OLXCLB hktlrracclr {m dhnea hk zraerloldnm km kc d{lc erlin|{k cl i{mdnm hkxkronmtxndl0

^ lhkot# hndfl i{mdnm ktxlr t{zkrz{ktxl lc r{nha - [xncnplmha {m incxra zraokhna oync# rkh{dnr kc r{nhat{zkrz{ktxa l cl tklc

dam kc inm hk |{k lfarl

- Dam axrlt zlclbrlt# hkxkronmlr zlrl |{

ylcar hk Oad{zlmha {m incxra zraokhna oync# xnkmk ol~ar tnoncnx{h dam Xkmnkmha km d{kmxl kc tne{nkmxkdhnea0

R ? ;:7 +mokra zraz{ktxa hk o{ktxrlt a z{mxat &;: z{mxat.H ? rlmh&

7/23/2019 Prctica 9 Seales Aleatorias y Determinsticas

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RRKKTT[[CCXXLLHHAATT

L damxnm{ldnm# tk oatxrlrm clt erindlt ekmkrlhlt lc oaokmxa hk k kd{xlr kc dhnea-

Lc nmndna hk cl k`kd{dnm kc zraerlol znhk kc xlola hk dlhl ykdxar &r{nha# tklc# tklc t{zkrz{ktxl lc r{nha.-

Tk nmerkt R?;:- Dam hndfa ylcar tk oatxrlram clt tne{nkmxkt erindlt-

[xncnplmha kc Incxra Zraokhnlhar Oync ~O? 2 tk abx{ynkram clt erindlt tne{nkmxkt0

Mxktk |{k cl erindl hk cl ine{rl >-8 tk o{ktxrl kc r{nha lxkm{lha- ^ km cl ine{rl >-; {ml daozlrldnm dam cl hk

blmhl bltk oatxrlhl lmxkrnarokmxk km cl ine{rl >-2-

Tk fndnkram ylrnlt zr{kblt ot zlrl hkxkronmlr kc ylcar lhkd{lha hkO|{k ot mat damykmel ~ |{k ot tk

ltkok`k l cl tklc t&x.-

Ine{rl >-2 Tklc blmhl bltk &tnm r{nha. a xama z{ra t&x. Ine{rl >-4 Tklc t{zkrz{ktxl lc r{nhav&x.

Ine{rl >-8 Tklc l cl tlcnhl hkc incxra zraokhnlhar oync ~&x. Ine{rl >-; Daozlrldnm hkc xama arnenmlc ~ {xncnplmha {mI-Z-O- zlrl rkh{dnr kc r{nha hk cl tklc t{zkrz{ktxl l c-

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Zlrl O ? 4

Zlrl O ? ;-

Zlrl O ? 6-

Ine{rl >-9 Tklc l cl tlcnhl hk I- Z- O- Ine{rl >-5 Daozlrldnm hkc xama arnenmlc ~ {xncnplmha {m

I-Z-O- zlrl rkh{dnr kc r{nha hk cl tklc t{zkrz{ktxl l c-

Ine{rl >-6 Tklc l cl tlcnhl hk I-Z-O- Ine{rl >-> Daozlrldnm hkc xama arnenmlc ~ {xncnplmha {mI-Z-O- zlrl rkh{dnr kc r{nha hk cl tklc t{zkrz{ktxl l c-

Ine{rl >--

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Zlrl O ?

7/23/2019 Prctica 9 Seales Aleatorias y Determinsticas

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Dam ;:: z{mxat

AABBTTKKRRYYLLDDNNAAMMKKTT ^^DDAAOOKKMMXXLLRRNNAATT

Kc daolmha rlmh&v. tk ad{z zlrl ekmkrlr {m ykdxar hk mokrat lcklxarnat ~ txk tk kozck# l t{ ykp# zlrl

t{zkrzamkr cl tklc arnenmlc dam r{nha-

Km cl ekmkrldnm hkc Incxra Zraokhnlhar Oync# tk abtkryl |{k kc r{nha tk rkh{dk hk olmkrl damtnhkrlbck ~zrazardnamlc lc mokra hk z{mxat l zraokhnlr O- Kmxrk ot erlmhk tkl O# ol~ar tkr cl rkh{ddnm hkc r{nha# ~

kmxrk okmar tklO# okmar tkr cl rkh{ddnm hkc r{nha-

Kc mnda zrabckol lc lzcndlr kc Incxra Zraokhnlhar Oync l cl tklc t{zkrz{ktxl dam r{nha i{k |{k l cl tlcnhl hk

txk# cl tklc tk hktiltlbl &o{~ zada# zkra l damtnhkrlr.# ktxa zahrl hkbkrtk l cat ylcarkt zraokhnlhat lc nmndna hk

cl tklc# tnkmha mokrat zk|{kat km olemnx{h-

Ine{rl >-- Tklc t{zkrz{ktxl lc r{nha

Ine{rl >-2: Daozlrldnm kmxrk tklc arnenmlc ~ tklc

t{zkrz{ktxl lc r{nha l cl tlcnhl hkc I- Z- O- dam O ? 8Ine{rl >-2< Daozlrldnm kmxrk tklc arnenmlc ~ tklc

t{zkrz{ktxl lc r{nha l cl tlcnhl hkc I- Z- O- dam O ? ;

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DDAAMMDDCC[[TTNNAAMMKKTT

Dam txl zrdxndl tk z{ha maxlr cl hnikrkmdnl kmxrk {ml tklc hkxkronmtxndl ~ {ml tklc

lcklxarnl- Tk daminrol |{k {ml tklc lcklxarnl ic{dxl t{ daozarxlonkmxa dam o{dfl ol~arirkd{kmdnl ~ cat ylcarkt hk hndfl tklc ma tk z{khkm zrkhkdnr dam kvldxnx{h hkbnha l |{k

tam lcklxarnat# tca tk z{khkm lzravnolr hndfat ylcarkt okhnlmxk kc zraokhna hk tklckt

dam dlrldxkrtxndlt tkok`lmxkt-

Tk lzrkmhn |{k kc Incxra Zraokhnlhar Oync km xnkoza hntdrkxa# kt ot |{k mlhl# {ml

tnozck t{olxarnl hk damyac{dnm km xnkoza hntdrkxa# tk ad{zlr zlrl kc zradktlonkmxa a

xrlxlonkmxa hk tklckt hnenxlckt &km d{rtat zatxkrnarkt.# ~ |{k kt kc ot tkmdncca ~ kikdxnya-

T{ lzcndldnm kt zxnol zlrl hlr tac{dnm l zrabckolt hk r{nha# ~l |{k l ktxk ca rkh{dk ~kt kc ot idnc hk lzcndlr a daoz{xlr km kc haonmna hkc xnkoza-

RRKKIIKKRRKKMMDDNNLLTT

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