24 dw 2. b.) Find the mean square value of the process in the frequency band of +/- 1 Hz centered on the origin. 2 arctan

Transcription

1 xeise 7-. sioy do oess hs o-sided sel desiy give y 6.) Fid he e-sque vlue o he oess. d d 6 d ) Fid he e sque vlue o he oess i he equey d o +/- Hz eeed o he oigi. Hz d Hz his ees o he ol sigl oe d he sigl oe i deied o he equey d (h ould e exed o ei e ee ileig). Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN:

2 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: xle: oig i he exoo y o he give os hee d e os d he is uio.v. o o i. Usig he uooelio uio os os os os os os os os os os os os os os os os eoig he Fouie so os

3 ohe xle o isee el esiy (. 67) 5 si 6 8 os hee he hse gles e uioly disiued.v o o π. Wih ie e see h os os os C os hih led o 6 5 os 6 os d he ig he Fouie so We lso o o he eoe d d heeoe he d oe e iediely oued s d We lso see h si 6 8 os 5 5 o Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN:

4 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: d Woods xle 9.6- d 9.6- W K sissio os We hve he.v. o he gul odulio (i/ o i/) d ie vile i hse. o d i i d he exoo is lile li ou he do hse hih is uliely used o e his oess W y eliie he x equey e eviously sho i o exis o I his gue oly holds o oduig iege. Oheise he vege ill o oleely go o zeo s desied!? ig ih he exeed vlue os ssuig ideedee o he.v e o he su o he syol d d iegl o he hse d s d d os Fouely he suio esuls i zeo d e do o hve o oy ou he iegl d os os d si si d

5 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: Nex e hve he uooelio os os os os os os he oi o he do hse is o e he seod e go o zeo u i e eo he exeed vlue sed o he.v. d os os si os si os si si os he i d oly i e ill hve he desied esul os d os No e oiue ih he hse sudy o o d i i

6 Wih oie hd-vig e ge o os os si os si u os os os si si si si os os si Fo i i ll he os es e zeo d esulig i si os si si si si si si os si si os si si O ousig o he i vlues i ie (lhough hey e oly deies o <<) os e e his oi egle oelio ous d o eqully ole syols I hve lso eoved ius sig so h xx() is osiive (i should o ou u I do see i s I o o he oes). os i Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN:

7 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: lee h lysis goig y e ould hve sed ih os si si os os Fo i i si si d deiig he syols s s si s si o s si s si his oe quily ives he exoo soluios. hee. he oe sel desiy is he ooiol o i os si si si Ghilly he oe sel o he ex exle e o he olloig ge.

8 he oe sel desiies dislyed i he ex e. Figue 9.6- oe sel desiy o K loed o =.5 d =.5. Figue Log o oe sel desiy o K loed o = 3 d = 5. Noe h i he log doi he ulls o he si uio eoe uh oe ovious! Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN:

9 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: yol sed sissio yse exle: eeie he uooelio o he iy sequee ssuig =.5. x x eeie he uo oelio o he disee ie sequee y y y y y

10 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: Fo hee i e sho h xx xx xx his is giude sled vesio o he oe sel desiy o he ulse she d ueous iulse esoses ih giudes shed y he ulse egul equey ievls sed o he sigl eiodiiy. he esul s iue i he exoo s

11 iy ulse liude (M) siglig os I did seies o siil deiiios o he C6 Couiios ouse e yes go he esuls ollo () Uiol Z & NZ () ol Z & NZ () iol NZ (d) li-hse Mhese d (e) ol quey NZ. Fo:. ue Clso.. Cilly Couiio yses 5h ed. MG-Hill. Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN:

12 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: M oe el esiy: ol NZ he do sigl e desies s d e v d d d o v v v v si M oe el esiy: iy ulse siil o ou exoo d v d d d ex d

13 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: oe seu o Uiol iy Z sigl e e hee si d si 6 si 6 oe seu o Uiol iy NZ sigl e e hee si d si si u sed i he si uio equls si

14 Noes d igues e sed o o e o eils i he ouse exoo: oilisi Mehods o igl d yse lysis (3d ed.) y Geoge. Cooe d Cle. MGille; Oxod ess 999. IN: oe seu o ol iy Z sigl (+/ /) e e hee si d si 6 oe seu o ol iy NZ sigl (+/ /) e e hee si d si Why do e e? he didh d sel heisis o he sigls e vey io. Issues ilude sel iy ile seleios de sigl ieeee e.