Dod 
Mel 
23s 
2.4. 
Does 
2.6. 
Date 
2.8. 
2S): 
2:10: 
Pails 
Posed 
2all3: 
2.14. 
DiS) 
2.16. 
Zale 
2.18. 
2.19. 
2.20. 
POR 
Dees 
Deh 
2.24. 
2I25. 
2.26. 
Deis 
2.28. 
DDO’ 
2.30. 
Page 
Stationarity;andiergodicitya sass eee eee eee 7 
Autocovariance funchOomie.c).nteies ieee ervetnteeioaes slows one isk) eeee ee 10 
POWermspec thumlofpenodic MuncCHOny her nie eae eee 14 
INonpenodic function with finite enencyancrr seit ee oceans 14 
Energyispectrumyofnonperiodic funchoni series seer eee 15 
Stationary stochastic process with finite power .................0005. 15 
Altasing ofthe spectrum, </- cts, s\ecso- oleic lsevstaceue niet rae eet ee 21 
Aliasing harmonic curves of frequency 1/5, 4/5, 6/5; 9/5, 11/5; ... can 
pass through the same sampling points atAr=1 ..................... DD 
ejerKermel}Kunctionk-y(O)eoaceee ac honen eee eee eee 26 
Behavionovelen(@®) ieee eee eee eee eerie 28 
LEAKE VBI ((A) UaN/R()! Gooogoonddboousb0db0c050500060000006 30 
The Dirichlet Kernel Function [wo(@) = Dy()] ....... 0.00 cee cece eee 32 
Various window, pairs|(D)eaeene canine orien ieee 33 
Warlous,window,pairs;(Il) ieee acne oe eee ance 34 
Various spectral: windOws=. 55% tc ens aoe ero Mees eee 35 
Blur of the spectrum by Daniel’s window, where the 
band widthiis;276/M ee cies sca tere onerotouane voces bree ance eosbesete ceex ere ree nes 36 
Confidence/band'by/y-—disthibution ence eee rnin ree enone 38 
Approximation by normal distribution .....................0- ee eee 39 
Confidence band by ¥7—distribution, and Gaussian distribution 
(QOZoSMe Vel) sxe See ee ce hae ie en Une ey eee ede Re PR eon eeu MPR TE 40 
Spectrum bandwidth (02sec ae een ere ee ate ts eee ee 44 
Frequencies tocalculate ithe specitum\ yee ee eae 48 
Band=pass filter 27 say 2ok sca eiecorss ance ane one eee nas an erstod ot faced ee eee 49 
Bow=pass filter 05 oo AN IN RT UAE Oe ner oat aot ny renal ere 50 
High=pass'filter <5 5.0.6 Gat nt an cea usptel ohetarelore eee eee ae een 50 
EOW=passs filter > 5s: suek se syot saints wists en anal ahah ahead snaeriel oh ala) sesseueeeevn et ewer etter: Sl 
ER Gh= pass Filter i cs.) cies see tais cdlsev chet a chahiareh ceakciaka aap cae ere otc ate te 52 
Pre—whitening filter Isyy(@)/syx(@)l oo. cc eee cee eee 52 
Teimear systems erk, siete eis ccet trace rahe pistes eae ee eres ee RN et eee 58 
iinearisystem/in'the' presence OMnoisere ese) eee eee ei oer 60 
Multiple: mputs multiple outputs'system)y- 7a cee 62 
Vili 
