Upload
others
View
0
Download
0
Embed Size (px)
Citation preview
UNCLASSIFIED
AD NUMBER
LIMITATION CHANGESTO:
FROM:
AUTHORITY
THIS PAGE IS UNCLASSIFIED
AD819940
Approved for public release; distribution isunlimited.
Distribution authorized to U.S. Gov't. agenciesand their contractors;Administrative/Operational Use; 08 SEP 1967.Other requests shall be referred to Air ForceTechnical Applications Center, Washington, DC.
AFTAC USAF ltr 28 Feb 1972
197
STABILITY OF FREQUENCY-WAVENUMBER NOISE SPECTRA AT UBO
8 September 1967
Prepared For
AIR FORCE TECHNICAL APPLICATIONS CENTER Washington, D. C.
By
R. L. Sax
TELEDYNE, INC,
Under
Project VELA UNIFORM
Sponsored By
ADVANCED RESEARCH PROJECTS AGENCY Nuclear Test Detection Office
ARPA Order No. 624
BEST AVAILABLE COPY
STABILITY OF FREQUENCY-WAVENUMBER
NOISE SPECTRA AT UBO
SEISMIC DATA LABORATORY REPORT NO. 197
AFTAC Proj ect No.:
Project Title:
ARPA Order No.:
ARPA Program Code No,
VELA T/6702
Seismic Data Laboratory
624
581C
Name of Contractor:
Contract No.:
Date of Contract:
Amount of Contract:
Contract Expiration Date:
Project Manager:
TELEDYNE, INC.
F 33657-67-C-1313
2 March 1967
$ 1,736,617
1 March 1968
William C. Dean (703) 836-7644
P. 0. Box 334, Alexandria,Virginia
AVAILABILITY
This document is subject to special export controls and each
transmittal to foreign governments or foreign national may
be made only with prior approval of Chief, AFTAC.
This research was supported by the Advanced Research
Projects Agency, Nuclear Test Detection Office, under
Project VELA-UNIFORM and accomplished under the technical
direction of the Air Force Technical Applications Center
under Contract F 33657-67-C-1313.
Neither the Advanced Research Projects Agency nor the
Air Force Technical Applications Center will be responsi-
bile for information contained herein which may have been
supplied by other organizations or contractors, and this
document is subject to later revision as may be necessary.
TABLE OF CONTENTS
Page No.
ABSTRACT
PROCEDURE 1
TIME VARIATION OF THE SPECTRAL PEAK 1
Mean, Range, and Stability of Peak Power At Each Frequency 1
RESULTS 2
REFERENCES 3
LIST OF ILLUSTRATIONS
TABLE 1
TABLE 2
FIGURES
1. Unfiltered Noise
2. Unfiltered Noise
3. Unfiltered Noise
4. Unfiltered Noise
5. Unfiltered Noise
6. Unfiltered Noise
7. Unfiltered Noise
8. Filtered Noise Band
9. Filtered Ncise Band
10. Filtered Noise Band
11. Filtered Noise Band
12. Filtered Noise Band
13. Filtered Noise Band
14. Filtered Noise Band
ABSTRACT
Seven four-minute samples of the ambient noise were
subjected to frequency-wavenumber (F-K) spectral analysis
in order to observe the range and character of variatior.s
in the F-K power spectrum. The observations are derived
from the same normal population. The apparent variation
in the underlying noise statistics or processes do not suggest
gradual diurnal variations in the noise power, but large and
apparently random inter-day fluctuations.
PROCEDURE
The SDL wavenumber-frequency analysis program VFKSPTRM
due to McCowan and Jih was used to analyze seven four-minute
samples of ambient noise recorded at the UBO vertical array
on 14 April 1967, starting at 3/20/00.00, 4/42/00.0, 6/20/00.0,
9/00/00.0, 11/20/00.0, 14/00/00.0, and 15/1S/00.0. Spectral
peaks were observed at nearly infinite vertical velocity at
0.20 cps, 0.80 ops, 1.50 cps, and 2.00 cps. The variability
of power observed at these frequency was subjected to Bart-
lett's test for homogeneity of variance (Kullback, 1959).
For better accuracy the high frequency peaks were observed
after bandpass filtering in order to prevent leakage through
the spectral window due to the large. .20 cps peak.
TIME VARIATION OF THE SPECTRAL PEAK
Table 1 lists relative values of the spectral power
observed at different times during the day at the specified
frequency of F-K peaks observed in the noise. The vertical
wave number of the peaks is nearly zero in all cases.
The .2 cps noise power was taken from the F-K spectral
plots on Figures 1 to 7 with all observations normalized to
the mean at .2 cps. The strip at the bottom of the Figures
shew the array response. The other observations were taken
^rom the power spectral plots of band passed (.3 to 3 cps)
data on Figures 8 to 14.
MEAN, RANGE, AND STABILITY OF PEAK POWER AT EACH FREQUENCY
The arithmetic mean value observed for the spectral
peaks in the noise is taken from Table 1, as is the range
between the lowest and highest observation in the time inter-
val between 3/20/00.0 and 15/19/00.0. The parameter t is
measured for testing the hypothesis that the observed varia-
bility of variances is due to sampling and that the underlying
- 1 -
variance of the noise field is time invariant
7 i 7
2(BT) (B'X) I log S2/S? S2 = i t S? 1 7 . , 1
where B is bandwidth of frequency analysis
T is time-length of sample
X is length of the vertical array
B' is bandwidth of wave number analysis.
There is no spatial smoothing in the program, so B'X » 1.
This can be verified frcm the array response (using ? km. for
the length of the array). The smoothing of power in time re-
sults in B « .05 cps and the time-length of the sample is
204 sec. The results of the t test are shown on Table 2. For
acceptance of the hypothesis of homogeneity of variance t should
be less than 12.63 in Fisher's B2 distribution.
RESULTS
The probability of error in rejecting the hypothesis that
the .2 cps noise is stationary is considerably greater than
0.05, and therefore we should not reject, but the power for
acceptance of stationarity is probably low for this test. The
result for the 0.8 cps peak is also marginal. We reject sta-
tionary recognizing that the probability of error is close to
0.05 if the statistics and processes underlying the .8 cps peak
are indeed stationary. In the case of the high-frequency peak
at 1.5 cps and 2.0 cps respectively we can decisively reject
the hypothesis that the random variates underlying the observed
sample variances are from the same noraml population. The
high-frequency noise above 1 cps appears to be very non-stationary
when viewed over a 12 hour time span. There is no obvious diur-
nal trend in the observed spectral power of the high-frequency
- 2 -
peaks.
The character of the noise as seen on Figures 1 through
H shows a high degree of symmetry, indicating that energy con-
versions resulting in more up-going or down-going energy are
not "observed" to play an important role in the ambient noise.
There is no obvious indication of reflected P-pulses although
such noise may be obscured by the array response.
REFERENCES
Kullback, S., Information Theory and Statistics, Wiley, 1959,
p. 319.
- 3 -
.
c ftJ 0) 5:
O M o o
3- O iH O
O N
s. • H O rH O
m CQ o o < o • H v. o
o o CM \ o to o
CM o
\ o a- o
o to H H o o o o
IT) N LO CM rH O CN CD CO O — • O O o O LO O • • • • H O rH o o o
CD
CM J- 00 O CO o o o
LO o
in o
r-> o o H o c
CO ro o
O O C O
r^ CM co co o o o o
CM o O rH
O CO rH O O O
• • o o
\ N CD rH O O LO d" O rH CM • CO o O O \ O • • • • CO o H o o O
> o g W (0 0) CO
0) (U O« a a. a i 3 0 o o o •H O H a» CM 00 to o
fa • • K • (M 1- CM
TABLE 2
Frequency Mean Powei- Range of Power t
9.7
Hypothesis of Homogeneity
Accepted . 2 cps 1.00 0.6«+-1.35
. 8 cps 0.06 0.03-0.10 12.9 ?
1.5 cpa o.om 0.001-0.037 91 Rejected
2.0 cps 0.017 0.002-0.055 98 Rejected
VFKSP1IW AHBIENT NOISt, UBO. STARTING AT 3/20/0 Z
HWltWI »•'• • ••••• »•»«11«« WIM •
iMk NuMI« «r ■«Ofll"IM HHk • >
NO, Of e»i>NK<l • »
ttftk. »OIKTS • •••»
utt«*»lt to »cm ruio« UIPIM
OH1 I.M i.m 0-3 l.M I.III
0«« i.n t.oto
Im l.M I.«*»
Du* l.M
u »
• - * » • »
IS • I»
I« • VI
I« - l>
* < < t « H « It f M THi M>. V»C1W • l,l«»ll I»
».«o* ».«••• •.«•to -.«••• ••*••• •.Mil • .MM .«••• .*»»• .MM It
I i f 1 1 1 1 1 i l 1 1 1 1 i l 1 1 1 1
I.I» 1 I
l 1 1
1 1 1 1 1 1
1 i i | 1 1 1 1 1 1 !
i i
| 1 1 1 1 1 1 1 1 1 t
• >»» 1
1 • !
e i i
t 1 1
I.»
1 1
i i
i 1 1 1 1 t 1
1 ! i t 1 1
J ! 1 t i
1 1 1
« t i < 1
1 I.l«
i -•-
! i i
i i i i i
t 1.»»
i .. t 1 1 1
1 • i i i
i ... j 1 1 •
1.*» ! >•-•
i • • ...i i ...... • i i i .. -#,
i • g^wW^i^i | i • |>>flM(M*»M<^. 1 ■ i ir*a*s***"»*»*»»»"^. «.>>... 1 1 1* ... • .'..... /»»»«»»»»»••»•«»MMtlV ..... • •• i • *«.. IM»»»»M»»»»»IM'<»«*»«1
.»» ..... I!. • • * • i.
........ 1 .....1
..... ..... ••• ■• • • i •
••• ......... 1 1 1
1 1 «*«*»••»» 1 •::::::. I •::::::! .*• •*•• ■.. ••• •»• • -"-• lt'i<"M«MMMMaM(><i«.aMI>«MMI»»MM» • i ■ ••• * * • |»»(P«««|.M»» 1 | «»«•»•»»• i i i #.... ••. . •• »tM»t 1 t 1 »•MM»»» I I | §... •••« ... .••*• i. * . • •«•» "MMtHittmnmt i »»»»*» t 1 ....1 t .. •••• ■•* ■ •• »*• >i*iwt i urnm »M»» 1 ... | •• ••• • . i »••1 MM 1 »MMMt.MM»»« 1 «ft» t »»» t 1
.1« •«•«. ,■■• •«> *••«•»•••« • § •■•ll*H •MM » It •») Mt • • ■ ww ••• III «ft* <UM»»»»»*M»»M»TO% •M It» •«• 1 f«M« 1 »M «1 I •««HI | "■• • 8V «ftii I "VMiMitiisai««-«^ •*«* >t i *•« i ■■■■■ > i «•»• i •MM»« M»l mi »Ml ■•»• ! •••» I Ml
••»• 1 • ••• ... *•• •••
• «••■••««••■»••a lli*™ j ü!!!!!...,!!!!...::*:: !
•• ■ *
»rm*l 7i/tf>r<rl
» 1»^ 1 I'M
M»»»»»»»»»M»**»»«»*V» MMMMMM»M»*»»»»M •••' » 1111*11» 1 1 /««. .... ... .«» ,
Figure 1. Unflltered Nclse
VFKSPTRN MtBIENT NOISE, UDO, STARTING AT (j/42/00.0 Z IflloiraKtii ««, • iua« «n. or CMtNDii • t
IK» NMNXIX U» laOnlklM« IlKl • •■ »
KlMWHN ID WMI '»cioit nt»?M
l)»l litt t.nt Ox) I.M tttii
tiM i.ll t.MI 0-» l.lf l.4*| DM* l.ll I.I»
il »
♦ • »
II - t>
II • /I
14 • »t
i.tl
..I»
t.ll
■I.till «•••■• I
t.ll
.?»
-.»IM • I «MHHIH IH| NAH. V.1.U»
I.M
I.tl
t.l«
t I llültlMDIOI I I
I .>> I I |l«4|«l«l I IMMKII I I I
•.«••I -.•HI ■•(III
| ll|'<M''*aM4IMMail(IMtli|ll>«4|ll««l| I ■««■«•«•^•«••••••■MiiiKiia««
I •«lra»"aaai;iiaaiaiaaa|iiaaaai ...•■.aaaiai<>aaaaiaaaaaa<<ia(aiaa>iaaaa.->->
aaiaaaa^aa i i anaaaaaaia aRaaaat*aH4ma i aaaaoaaaaaaa
I •anaaai«aaaaiaaaa>aaa i laaaa'aaexaaaaaaaaaaaaiaari i
•uaiaiaiaaaa i laaaafaaaia
l.jai/i ii
I
.««MI .aiaa -*•■••••-••*>•-t>
i I i aaaaaaaaiaa t i
laaiii- l liiana l lliaiaiaiaa
'•••-•.•••••••••.•»••M|»M|N|««|(
a«»«---- laaiiai l i i ii laaain- «a i l a i
l aa'aaiiaaaaaiiaaaaaaip l ««"a>"iaaataiaaaii<aaa
I I aaaaaaaaaaaaiiaaiaii I iaiaa"iaa»aaai>aaaaaaaaiaiaa I •laiaiaaaaaaHaanaaaaaaaaaiaaaa
• ...•■••-—---"•»aaa»8»''"a«iaaa»---«-- I I I
I t l l I laihaaaaaaaxaaoaa i I I I I I I
I I I 'f aiaaa|«|a|a|«ia**ea|x«a« I |
«•••aaafaaaaaaaaaiaaa i i I aiaiaaaiaai'aa i i ■ I I I
-aaaaaiaiaaaa-.-. i
i i i i t
i l
aaaaaaaaa I "j I I I i I I l I I
aaaiai*Miaaaia*a| ...| ..........naaaaiaaaiai-«---■-•■••* I I I . I I ■ t |
I I I I aaaaaiaiaaai i ,.,,,,I I aaaaaaaaaiaaiaaaa ,,,|
.. ....... ..... Iiaaaaaaaanaaa | |
«aaaaaaa«aa»aaa««a I I I aaaiaaiiaaaaaiM I ,.| l aiaaaaaa i i
> r.aaaaaaaaaaia I .... I I aiaiainmiiaMaieaaaaai* r i i aiaiaiajiaaiaiaaaiaiaMi«« i l laiani i I laaaaaiaaiiaaaaaa i aaaaaaiaanaaaaaairaaa....
I«llll ..♦
I I I
. I
..I
IMWMMMJ Ml
• ' *—---•-"•^^^»"•"■»•»"fm^Baraaa..". "laaaiaiaa.iaiaaaaairaaHiia J^aaaaaaaaaaanra»aaai«a|aaaiaaaa«aaaaaaaaaaa i aiaaaiaiaaaaasaaaaaaxaat^aitaaaaaaaaaiiaanaaaaaaaaaailMaiaaaaiiaaiiaiaiaaaa I
j aaiaiaaaaaacaaaaaaaaaiaaaaiiiaaiiaaaagaaaiaiaiaMiaaaana t a«! I I aaaaaaaaiaiaiaaaaaanaaa'iaaa'aaiaiaaai ■ i aaaaa!
i l |i<Raaa8ai..'jaa»aMaaxai>ia i Miaiiaaaaiaa«!
I I •aia •liai i
•-—-•-••Maaaaaaia.-..- Miaaaaaaaaaaat aaaaaaaaeaa i aiaaiiM I
aaiaiai* i • «aaaaaa« -•«aaiaiMai-...
I laaaiiiiaiia i I aaaaaaaaaa i I I »a»»aaa i I aaaaajaaa j
■aaiiaiiiaia« i
I MM I
MIMI aaaai
i •aaaaaa«
MaaiiMMMMI aaaiaiiiim
I
•.M
- a ■ ■■-■#•••.■■•»■■»■-mn'-tinBa
• ••»aaiaiaiaiaiaaaaai'iiai.aaMaaMaaaaa iaia««-'aiaa«iaiuKa»»iaiaaa i
I | a«iiaaa»ai<iaaiHi i I t I aamaaaai | ■ I lasaitaaaki i
aiaaaiajaiaa*iaia|aiia«aiaiRii<aaa < ..--——«—.icaP»i.a«a»i»iaiaa*»Bencao •• I I iai«ia|NMiaiaa i *»»»» I i iaiaMiaiaoa«a«i i Mlliasimai | laiaMMMMihiaaai I MMIIIliaiaiaiaiiaaaialaiaMMiaMiaiaaaia i l(tMMIIiaiaia|«t*aa|r|a|a|«M|*icii>iaa I I < • »«««..aa^ »a. <
! ' "•• »a*»»* , j aaiaMi tin? i i ! tmiiriM<t*l>l»lfa-MM «^MtMllmrKKu »aa*.'"»»,,»»..,....,;. '
i
,1.111 I »»»»»«*• • I a» 11 »»»»»Ml I I III 11 »»»f»"< f i MI iii i nfnut i
I «»a IM«
l»M
i|lllllliiaiiiai>ia»aaa aiai > •MlllllilainaitiaiMa «MI < •••••••MMHIIimilia »MI J •IIIIIIMIllliaiataiaiii aaat ?
1»»'«»» t •• *aa ■ IJJf»»» 1 M Ml I itmtn i M MI i IttfMt» I a« M« |
Figure 2. Unfntered Noise
VFKSPIS« AHBItNl W11SI, Hllu, SIAKIING A7 6/20/0.0 Z HltMMKHttl <•«, • U»«l IM, 0' 1-HtlMfl > «
KK'UNQ ■><•• • >•■•• S'txilNU »oim • t inloi »dlMli • <•**
>-iltN<i|l ID »lit ttc'oo WIM
P»l l.tt t.Ht
UM] l.il I.Ill
DM< I.U I.HI
O-J l.f« l.<tt
DM. l.ll 1.19«
U M
i • * » • t
II • I*
II • ill
14 • If
l.fl •I.IMI
l.l«
•••I
I.«
• t • ••••I
I W II
I 1 1
1
• t M |u| MO, V«LU» • -.»••• -.?»•» • .llil
—-♦•--—««miM« •gin«««« ■ | MiK«)«»!« I ndaKnaaama • • I fMHHaataiiutiiaiiidiiaii«»!«! i<a*i«aaaaiat«aaa«a*aaaa avManMiaiiiaaHaaaaaiiaK
!■• i namfnaa i Maaa«a« •.•.«..aahai*nH*.........»...-....«aaaaaa-...*
.......... M .«aaa
I |
;••;;_ 1 ..l
•III
r i
...... i
l
i
I.»a
I.M
l.ll
.»»
.H
I ... I
I
;..
... •* i
•1*41
I I
• . •. I
na<<><i<aaaaa*aaia«aaaai<a*iiaa*« NaHHaaasaaaaaaaaa>ai*aaaaaa ..
... «Kaaiaaaaa i •anaoaitaaaa . ..> I na»xi<aii« | aaaaaaaa ... ■ «aaa'ian I I aaaaa«
■ •■aaaxaaciiaa- •-.•-..aaaaaaaaaa——.. I »xnaaaaaaaaaaaaiaaaaaaaaaaaaa i I »iiaaaaaaAaaaaaiaanaaaaaaaa ., i aaaamaaa i aanaaaaaa ,..i
l aanaanaaaaaaaaaaaaaia^naaaaaa ..... •aaiaa»a»,<i<aaMaaMa«ai(^aai»«aa ...
..«..aaxaannaaaaaaaa—».-.aaaaiiai »aaia—..». I a^raaaaaaa I aaaaaaaaaaa I
. >. t aaKKaaaxaaaaaa'taiaaoaaaaaaa ■ I a'anaaaaaaaaaaaaaaanaaant ,,,,
I laaacaaaaaaaaaaaaaaanaaaaaaaa i I aKaaaaaaa^aa i aaaaaaaaiai I
.........aaaanaa ...••... .aaaaaaaai.«- i -.aai'i'ai i aaaaaaaaae I aKuaiaaaaaaiaaMaaaaaaHaaa i
••Na'aaaaaaiaaaaaanaaaaaaaaaa i
I l
l l
i.naftMa ... I ixaaaaaa ......aaaai'aa--•.-..-... .. i aaaaanfa* .... I nxaaaaaaaaaa .... I a'aanaa ... i aa>aaH i
«aaaa«« I - ".aaaiaaia-..*...-..•>
i aaaiiaaaa l a«>'aa»aaa
.. I aahaa»*! I lai'iaae i
aa»aea.iaH'i ; ■••laiaiaina"«-«••.-.■..
aaaaaaaataaaai aaaiainaaoaa
aaaaiMianaaa aaiaaaaaa^aaaai
I I «aaaaaaaa ........aaaaaaaa-.-
taaaaaaai i I
..I
..I
I laiaaaaaaaaaana •■•<liiil«««l*iaiaaaiaiaaaaaiaaaa«a-. l*l<lM«iai«iaiaiaaaia9aiaaaiaaaaa I l I maaaia I l I aiaia Hill I a«a»aaaaaaaaaaaa»«aaaaaaa
I
I I I I I • -.. I I I I I «...
....... I aaaaa»a»a
•laaaaaaaaia aaaaaaa t laaai
aaaaaa -.aaaaaaaa..-
■aaaaaia i aaaaaa aaaaaa aaaaaa aaaaia«
........aaaaa*-.*—. I aaaaaaai I lM«l*iai
»aaaaaaaaa I I aaaaaaiai I aaaaaaaaaaa
l.
I«llll
I , I
I I
I I I
..I
•■••
I ..I ..I
I ..I ...a ..I ..I ■ I
..I
..... 1 «.1 1
-••.•■•a aaaaaaaaaaaai
1 lall ■ • • • 1
1 1 1 1
-•aaaaaaaaaaaaaaaaaiaaaaaaaaiaaha« .„ •'»»»»»»»!• I I ««aaaaaaaaaaaaaaaaaaaaaaaaai
I itiift??itT7?i?iHf i aaaaaaaaaaa , ..,,...... »"ttlU I irufift* 1 saaaaaa I | .. ■
■aaaaaaaaaaa aaaai »,«? r »»»aaa.aa^ i ,,r,: i aaaaaaaiataaaaa* I *
-aaaaaa. Ill I ***!titlll itT !**"*!! M ' """
!" aa»..l M, ..:l "a'!:1 •!* *lJ»Maa.»aan.a;aiai% I aaaaaaa laiai • m ataa T^iiidaaaaaaaa naai laiaiaiiaai aaai uu ^^n« JlMiiil
- I I ..!I!....!!!" J
mi •»»»--»I .•—.*•••■..••.•»
•••« m aa I in«« a I III I (If II I lift I •MM
»••a Ml aaaa | aaaai i naa til I in aiaaaaanaaiKi
l»ltl ■** i
II I
ail
••—*
I HI 11 I alllliir | i ••• •• i iiijmt • i HI •• i ntnut i i MI •• i numt t i**»
aiiiaillllllllliaiaiaii tllllilllllliliiaiaaiii aililiiiiiiiiinitaiaii aillliiiiiiiiiiiaiaiaia
«aal i **«l 1 aaai f aaai i
•t>»*m I i iiiiiiri i I 1711**11 i *• ••• i tmmt i •• **• i
Figure 3. Unflltered Noise
VFKSPTRN AWmtl NOISL UHO, SIARFING A! JOO/OO.O I Htwntu* >•«. . HMt M, M KMHUtti • •
iMMlrWi k«'k • (•••• lUHII^c- »Olkl . J »P(»i. MIMI1 • *«»»
«■HtNMtt ■ 0 Mitit »«CIO» ucrtN
»u« i.nt u» U.] t.ttt UM< i.iii UM, !.««• it • l» Uut t.ii« it • »i
»4 - »P
l.ll
• l.tf
« a i.n « » ■ f ■ i.t« I t
: i.n
I.M
.»»
.MM
•
• » « 1 a ii > K
1 1
t .MM •.MM
tit 1
HI» . V«UIF .MM
• 1.M1M M .<tt» .Mt«
i i i i
• Mt» 1.
1 1 | I i i
i ■
t.n
i i i i i i i i i i
i i i i i i i i t i
: i t •••••>•••••• ■•■•••••t*a«*v* «•••••••••••I
•■■••••■•■•••«•i (••••••••••••«•I
I •••••••■•i
I I I I t
i i.
I i i i I ■•••••••!
.H — I I I • I
• ■■•
I .. I ■ I .
MHM
—-•••«• «"""»•»•"«••II (i ii»ii««ii'<i.i.Mnin(i»«e(i»„»M,llRa; ■ I «••««»«.miii i , I MMMatuMIMH HliU122fl?im>?llt uiMMM.«««.!.** i mnmm * im%m
i
•■•••• i •••••••I •••••••i •••••••I
n
t •»**•••*■•• i I MMMMMM I ).'/ I •••Mmm I I »M«
I •■•■••MM mitt i tttttt
I* l»M*-f f m»|*- ••—«99799- —-«>f»-
I
•■••••I • •■•■• I
I 1 I
*mm 'Tn"t"Vn
I tM ■■ I >II,: ^ | I «M •• t Mtn^t I ••• •• I »tlttttl
MMMMMMMHMMtft «Mt | MMMMtMMIMlIMM» «Ml I MMMMMMMM^MttM *i4»l I
Ittttttt I *t M» I lt»*ttt t M «•• | IttMttt I t| «»ft I
Figure *. Unflltered Noise
VFKSPTRn «1BIFMI NOISE, «HO, STARTING AT 11/20/00.0 Z
• •(••■llhJ «'If • <•#•• t*<KI|N« »OtNl •
ii'. or emwiti • *
tutmifi 10 M*LI '«c'u» HIM«
U-l l.ll >.m
»-j l.tt ».in D-4 I.H i.t»i
UM« l.tl i.«»»
Ox» l.ll tali
J *
» - i
» - • It - I»
II • »1
(4 • J>
•«MM
a v t « M » « t " iHt m«. vuu* • f.4trti n
t.M
t.i«
i.«
I.»»
I.M
I.M
.«•
urn • i
:.
t I i ••#•••••••'••
i
i
■ MM«
I I I t I I >... t t I . I II I I I
•--■IIMMMMM«»---* MlllllMMSMM(M4»'IMl|IMI
•llll(*«a«MliaMllto«MI>MIMim>
»milUMWfl JWjUMMMI I , HfKMfMMIr I MMImMHtPt ' '•
•»"»"»«««»«««»•««»•(I'HI'IKIDIllIKi«.---• -- ■ .^. i|)i««laaMM»IIC«MM*MtM«MM I «»•»«»««««»MM«««»««»»«»*».««« t •••«•■■•»«••«■»•«■•»•«•••••«•iMM
I «•Moa»MM.l>«i'M«M»»Mllll«M I «»»«««•«»««»»•»•»••«»••«»•»••»I „ ;,, t •; .
•».•...•^..•■•■«»««»•■•(•»—•—'•«"-•MMMMMtfMRWIII—•-—•••' « ■ MOMI»! ' t. I y',:-\t':r 'ffflMH^IiMDI ' I
>! »«•«•o tmttMtnnnnmn t ' Mt*«Mt»R i i ; > i »•••MII mun i >mm ^ ■«»•»»t»«»»» ■ • I .»HIMtMMMi* t ttU I »»«»♦»»»»»«»»» t tttt t IMI»j|M*n«MI>*M I Ml |l|M<IMI|4lal*l Ulf »l|*MM*«MII***M«Mt* Jttil IR|**IMM«RIIIMI »»*
«HI.-»-«.»HMIIMfl«l«l«l—lit—'•t»»M»»-^£i-—♦;.•.• «Wt«-—'lit—-«IWHWIM.MMIIII....IM- I « IMMM •!••••• »»» »i«» J*S*mi*f(l\^ I M«» Mt • »« I •«••• I «tt HI I f iM* tttfi ♦»» GiiMiiiiiii^iitiWnW i*« Mtt ** i trt I MI r t ••••«•• !•••• • «l I.*«* '^**1H**ITIU_iri»*^ »»♦* »>» •<■*" < IKIMM
I: . Mil tM< |l»»*Mi»»iniW*»»I tttl »M IMIUMMI III
, I','.
•M«
IMMM nit i Mini 1 I ••I mm I
■ •■«■ Ittttt t i
I Ml •• tttttui Mllillllllllllliiailll ! Ü!!! ! *!!»!"! * !*** •IMMIIHHMUMMMI MM t > •■• ■• ■ ■• ttttttfti I*II •IMMIIIIIIIIIIII4IIII 11*1
mttttt i M IM i It»»»»tt I •• Ml t •Mmtr i it m i
Figure 5. Unflltered Noise
VFKSPTM AMBIENT NOISJ, IIBO. STARTING AT M/OO/OO.O I
»»UllnkH«« MO. . UM« na. or rwiMMl * *
lAH'lim. •■•'« • !•••• ■UKIIiitl »Olhl • I tnm MINTt • «•♦•
IMt Mimt» "» «KOOfHIM TIH« • •
(.■•NKtl ■ 0 st«U »«CO» oi-m«
0-1 Itttt
•Mf 9.11*
••.4 t.M*
0M> 1.«*«
0". t.tlt
• - * i - t
ti • i»
10 • Kl
t« • tt
•NWM.
*
*
•.»•
I.I«
•I.HM «••■•■«*••'
I.it
t.n
■ 1 • 1 « 11 * • •«•1 -JMH»
» 1 H •.IM« •
Hi«. t.4«WI •»
1 1
! 1 1 1 1
1 1 1
i i
••«•I !••••« I I I I I
i.n
,n
i i • •• » !•.•■ I ••••A■ t t i
i
i i
•«•••••SI
I .••• t
• t I I I I I I 9»»(i»«»««««(ia I
ii«<i(iiiiiaMMOiiMiii>iiaM
I I l t
• •■*•
IIB""»!«»!^^ I ^M»'»MM
•••ia«itoV i VKIOIM« «««•■••»V t fa»««*!«!«
••nil«««»«!«} -\iiiicii«aa>«--
"••«■•«(■««•«•MiilKaaailoii«
••••• I I l I I I I.I IM« ■•• . I I •• I •« I •*•••••••■•*••• !•■•«—«MM. II I
I
••••••• I iM>imm»t7m»»'7:>r.?i7fr I ««MM I I »iiUtl I »llllll I 1IIMM* I 1 111» I MM I 7/ftl | «Ma*l I Ulli UMMMMMMMMMI |l|f| MWIH* !••., i« »MM . j,,, t«»t* n* »»••••»••«»•••»i
•••••»•—»»»—•»M---i^}«tmM«iiijirrt*«« M*»iiti*m*»>—•••—••*•••• I ••«• llll •»♦» /TMOMMMMMMIlMfllV •** '»I' «* ' l"M
••«•...
lit •••••I I I *•• Ell I ••«•••• I UM« III MM Ml« «MMM ilM|««a Ml I III« IMti Mia iMMMfaaaaaiaaM »•««»• 1711111
aaiMiMtaMaaaaa »M in? a«« i «tv | *•«» sit aiaiit •••••
Ml «III IN« MiMMMM min aaiia HMMaaiiMM«
««I I I
•I •««I
M—* • I • II • I
•Ml
I Ml M I «11114« ( I t aaa aa | «mim t l Ml M I «1111141 | I»»«
•MMMiMaaaaaiMiaa«« »•«•««•MMMMMIMMa aMMMaaaaiaiMaaaaai« •»»i
l illliltl l a« «a«-i I illMtn I at a«a t t llll*«n I a« aaa i
Figure 6. Unflltered Noise
VFKSPTNN mim NOISE, UBO, STARTING AT 15/15/00.0 Z «tlMNM*«* "0. • U»M NO, 0* eiMMML • »
Um>i|M kalf • !«.•• II«»!!*! »O!»! • | fof»i »al«ll • 4*N
UNMWU !• •UlU f «qlo« D«riN
■HI • .Mt
•-I l.ll*
•H« I.UI »«» l.«t|
Vxt I.IN
» •
» - • It • l>
It • It
t* • I»
•VMM.
4
t
>i«»«MM«t« IM N», «IIU* • t.|«*tf |« •».♦•« •.•••• -iltl» -.«III -.till | .im .««tl .»III .Mil l.ltlt
t.fl ♦———•'-.——«—..—— ÜIIIIIMIIIMIIIIIIIIIM—•....•••••——•.........•...;.....* I I I I... MUMMHMMfWMMWt .... I I I ■
• ••«iiiiiMiiiiiimiiii» ,..i i i | * » I I... •l«lllllll|l!IIMIi|liiaiM ..,| i i i t I I I... MIIKIII | l«IMH|4| ... 1 I
t.t» ••mill ••«UM I I I I«. »»«•»ii«« i r»*»«»««! ...i i i ■ I I. I !■■ »»IIIIIII i •i»i»iia««i ...i | | I ■ I I«. »iMiliaMi | »M»»»««»» ...i | | I I I I... ••iiiilili | «(»a«»»«»» ... | I I I«. ""«•«*«»»» | •i««laiu*i ... | | ,
I i I ••• iiiaiiiM t ii'iaivi«! ...i i i ■ t I I ... 1**11111 | »••«»«•• ... | i 3 III ... «»»in*« i i*«aiii« .... § ■' * ■ I ••• IIIIIMI | »InMI.M ,.| | | , I ■ I ... 1**1*111 | «I»««!»** ,,.| | a
i.n •—••• IMIIIII—.»—!^!»*»!»»—..,............♦.......,.,.....„,.; t I ... »*«M*I*I t ««.«»»««•« ... | | |
I I I ... «■IMIIMII I MMhrlMM .... | | <<)... «■l*l*lllllail*n*l«M|l ...I | l ;
I I ... **iiiiiiiiiiiii«»»mi«i« ...i i > I I I »»•• IIIIMKIII I «»*|«|*|* ...l i ■ ,
l.N •—.—••• •**iiiai •«I*I*I« ; J J I I ... «aiiai** i ««i***** .... | , .
• ' i •••. laiaillia I •I*I*I«I* | | •• • I •••>. ••*»****« | ««K«I«IM .... | | „ •• • •••• ■**l»l»l | •**I«III .... ■ . i
... V * « •••' ***IMII I •**l«|l | >•»• « • «*II»I*I ■*II*I*I ; ;
(• ' I •••• l«»»l*l« ( *M>R*I* I I I •• « ••••• «»»«1*1 I 11*1*1* I I • ' i »»•*«•• i »I*I«I*I .... , > : ' I «*IM f ■***«•■ .... J
. „ • ' I I *mi«i .... i | i.n .. • .—,..-—I***** ■. »niBt».,..:.:.—'-•.. i i
••■ i ' ••• MMI» I I«««* | ■ | • •*«•• I 1*111* I .... »>•••••* | **l«**| ... | I } • •••• IMMII | «*«,«( ... 1
„ "•' • ••• ••••»• • l«l»l* ..I I i •••' . • ••• • •»"!«• I I *IM«| .... | • ' t • — • I .. I MM** I | •«!•!* ... I «••••' ' i IMI* i i i in**« |!;; I , |
. «••• ' i .«.• i ••••*i* i i Mm/-« i !.' S S ! •H ——•••••• .ifVAii«....:!! ' 1
• •:••• imtttmtm* i ''ßlll* :::::::::::::: ; ! • : ;•••• Mtttttitttttmittti IMM ....,.!.!.;!..".
... ::..:::ä.t*M..^.:..::,|^^
•« • « • • If m •naWHHHMHWCT * m "J.*.? M I.** JMM •„.! . • ••••• • •• tttti s ■»» •• * ' •••'
• •••MI tttnwi I III II | HttlMI
i*»» i»** i»*»
•••••JMMtllllMI*ll|| ^••••»•••MMIUIIIIII !;;i;»MMtMiiiiunM ••tllllllllllMIIMUIt
•Ml •Ml Mil •Ml
»»»»•»»t i *• *** i itttmt i •• «M §
irtttttt i II •*• i
Figure 7. Unflltered Noise
VFKSPTW miENT NOISE. UW. STARTING AT 3/20/00.0 Z W: iwnmt «n. • n»'» *"• o« <;>nN»ti • »
|Mt kllMDlk U| ••|W>l»|k|> tin • 1
Mltlptl 1« tltlt l<C>«» I'tHH
Uwl ».»I»
IM (•III o-t I.MI
u-t I.«»»
UM» t.in
1*4
» • » 19 • I»
1» • III
t« • it
•»MOl
• 4
I
• ••I w n ■ • t <■ •i.l|C| ••'•••« •«»!«• ••♦»•• ' ".»IM
I.N wnintnwiM ••••t»Mi»wtti»t»»w tnwtnriwinrHtrtwuwmttrrutrtwiwi
.»»
i i.«»
t.H
I.W
r • r t l.M • I ■
l.t»
I.H
•-•••r*
t .til« -"Ml .MM ."••• l.HM ..............yrt»»t>Mi»7»m.>f?>tttr*ryt*tt*
i>j??>m»m»«!»?i'»w»»w»»i»i»»»»»»»i
t mrtmnrni* I i»i7?»?»jn i »»»»?»»?»»»> i . t7tnntx*\
..........iti*ini—*——'-n*n7t99n**
tnwHtrtnnwwwHutnftttw* I mwiwtwttn • urntfiti i
mm u-imtn i ttttnnut*rf4i\ tttwtttmni i fitii/ttfttr'* i wwm.'» i ir>tmi4i< i mi»»»/»?»/» i i i mw»"» • •• ••••••" I ! »»»<»»»»!»»'»» t ' CTjfT^'Tl^. I I I mwMnnti i /»»?/ i~>»»»»ft»»»«»sK^ i i m»»?//»?»/»«/»!' I '»»»/»»»/»/»/»///I \^At>*Htl.t>H» \717771ft I I»J/»>»/»>».'l»»/»>//»->»'»'»/»///»/»''? I I .1 *?*t17WW> I IM»»»»/»»»/»?»/»-///»»»'» I I I iviwtiwHrttwit i »»»/»?</J»»/»»»/Il'//»>»
mrtriwt l i
momi'w»»»*'? i i t»i<y»»/>»»/»'X/?i' l l l ttiHrmit'itui i i i vnwunfwtnt i i i l»»»»»»»»»»/»»»/!»//»'»'»«/»?»/ I t7UWln'*iitiiUf>w>tu->itiini*—'-
twtrrtnttmtvmwn t t
t iirm*ri'.f>i< i l I • n*t**un*» i i i ♦•-Mm»»» «»»—•••——
i i i
7»?»»
»»»l»f»?»»»»M
rH7t*tt7Wt 7»7JJ7»»»»»I »J?7»?»7»»rl »?»>»»>»»»•
»>H»>»»7»1 7»7»»7>»»»«l
7»»I7»»»77»»7I 777I777777777I »»t»l»»»»»ffi
-—»I77777»»»?» 7»7»»7»»»»7I
I7»»77»»»»l I7»»77»»»I1
7»»»l»»>»»f7f»l
J7»<7777»»7/»>7^» ?7»<77J»»»//»7t<»» > ftrrtrtnmu i »/a?»/ i i
t »>7777»»77»77777777»77f»77»»I»?7»7MI •♦ 7»7»7»77777J7J77»»»f»77»»»»7»»7»?»
I »7777>7777777777»»»»»7»77»»»7»7»I I ?»»»7?777»7J»7<7»»»»»J»»»7»»7»»I I I 777»77»»777»»77»7»»»77»7>»»l
».»»«*»»*«6«»»»«»»»»«»» I «7(7971» I »»7777I7I D*ft»«M»lt*«*«*«»«»M I 7771777 I 777777»!
......»* k<.t«»«.t««fi»>kk».....«....7777777........«..77777|f« I I •****•*«>»*« I »<.»•*»»*»»»►» I
7»7»»»»»»»»l 77»7»77»»»7f»»l
I »77 »7771 I »I I I
I »7»l*« I I I I • I »»•»• I
»••♦ I »»»♦ I
t***»«4 I
I •»«»ft»'.» I «««»«»• t »Hit,*» I I»«.»»»« I »»•••»
I »•»»*»'>
I »•.»»».»«»«»- I •»•»•»«••trfb |<»«4>«4t»»
«««UM« t «*»»«» I «»»•«ft ' I «4**»* I
»4«»»4 t >ft4«444.——••
»»4«»» I 4444*444 I
444**44*4 t I 44***4* I I 4******
I «I
***l
I *•»**•• I •..•....**k*t**44*4**«4»4»44..<—.•.•..•|MMn0«4M4*l>*4*»<l*M4M«*tH4"**—*4******.-*.—MMW* I tM«***M4|>*»4>4 I •«•■•«MIMMUMtilMMiftMtMliMllilM* I »*»«4» I *«**| ***4***4*4»'> I *•*** I •«0«IIM***>*M*t*|4*M4a«*tl4*4Ml ****** I I I *47't'l74<7'l 4**4 «MIIIKHIMmMIIMMM I******** I 7777I77»»» I •ttJttlMt»! I»«»*» **** ll*«t*lli««IM«*|««tl «*•*** 1777771 I 77771 » ••••1M*««*M* |7| I »t»*t I I I 4*4*4 I 777(7 I •*■••••*•*• I (A«*......«.......—•....ftli..»^;^ -•*******»*•«»»•** 777((*—«MM*«—.—•• .•«»• !•.• »«•»•••«»«Ha •• !*•■ Utim I (7(777( »Ml ..... I •• ••••••• •■ IM (744(7 I 77((( »I , . •••• »••• IM* *(((((((( I n»(7(((7( »••! .. ..'„'...,.'.'.,'.' 1 I «MMIMMMIMMneRMM* ' I | • ' • i • I ....••...■' I •"•"•••••••"••••••"•♦.•.•.••••••••."••■••.••...••••.••••••••♦..«ta.s,„....#..•...,..«..
.....••.
I
...I .1 .1 I I
• ••• M I «(»»»«I 1 •«• «• • nutuf I •*• M i >7?»7»it I ••( •■ I »(((M»l
1 1»»» 7 |44* 7 IM* I I***
• «•■•Mlt(»*MM>*llt4«> •Ji*1MMIMM»*M*IM'< •«•«•MMKMHMHilt« • «••••(•••••(«MMUIH
44» I ( I
I I I (
t7(7*7(» I •• ■•« I !(((•((( I M «M I I7»7»777 I •■ *•« I 17777777 I •• 4M I
Figur« 8. Filtered Noise Band:(.3<f<3cps) Rolloff: .leps
VFKSFri« AflBIENl NOISE, UW. STARTING AT M/fß/OO.O Z HI), Ot rxlNkkl • >
Hk kMnh^k "■ S'-D" Rik« I *»■ • 9
i.-«^»fci IU (L«U »»«III* U(MH
«hi I.M a.Ml
UuJ >>•« v.ne
).i4 )••• l.»uo
||M% I.M t.4*(
u a
• • > t • »
II • l>
U • II
«a • 4t
f
■
V.U
l.i«
I.M
- . . t v I.IK« •••»»» *••
I I I t • I »»»■■»•.n"»«! t
»»»'•••«»•»,> t •>•••>--•-*--•-••••■»> • I »?y»y • •»lit» I <• I
»»»«»»»•••«»"•» I I I «••44. «»•»••■-•-•---•—-•-••• «•t444l>4 I tvmt »»»•i(.»"i-.4.| I • «•«••»•''•«•••44K | »M I I»»« t ItH •4k»
-.«••I .i-OIIO
kk4kkkkk»kk44» »•••kkkkk I
k4kkkkkk4 | I A*tk444k444ft
»•«•»kkkkoflkkb« ..•ilk4k«lkk4f*k4->*'"--
f444kkk4k I 4k4kokkkt*» I
1.JI1M M '!•• •*••• .'■•! I.Mt»
I I
IHk HUI. «ILUk I .'««•
■ 444444 \-..•.--*--•- — I 44'4444«4»4» t 4444*4 •.4»«44»»« | 444444«*46M 4444»»444«» •k>kk«kkk»«kk** I »4»4»44««4» I k4»4*kk>kkkk*k
k4k»t4kkk4kkkkk»k -.-.4446<.»4(,44»»------
| 44»».4444» I 64444*444*
| 44«*)ft4.1444444444444444444444 1
kw%fcfcttk»kkfck>kiiiiiütiiiiitt?iM»* k.k4k4.^r I I J»k*»kk4 4*44k44l>k^f-■ —♦---«-."«-»■^k*4kk4kk4
»4.,4*4U«».M,H» 444114*44646444 I 44444044 >444fi-»4444 444444 6*
• 44 »44446444644"I446 4 4444444 6 • 4444446 44'i44>4 I 44 444*464444*4 kftk4k44(*kf| 1 4444444444
■ III I I I I I I I I
.....6464V444444464«-'-•--•----* I »44444««4»«»4»46«4» I I 444*4444444464 I I I I I I 44444644 I ||||
4444»446*»4644»4444446"i4»44»»»*44«64 »I 6-..-..-.-64444464646444»44»4»»-------"
7/f>i I 44444444» | I I I I
1 1 4464444 m'ttmii t I 444444446*446.444 I y717\ I 771 I »4444*66644464464»64» II
»46444444*I < 646*6444444,,646t'441t»b46*4* I |4444k4r-Ik«4k4k. »A I 44k*k. •»»If I t
fi.fft kk»4»444k»k-*.•--••■• »4414.4-,64444.»*». I I I k4kkk»V'k.ft*k. I I 4k»k»44k*k. »»»I I t*».»4 »4446 I ftk4k4k«
1.19 »»»4»4»4»»ftu».»•»••••»»»»' I I"»,»46*444*4.4, I I •»»••»«»•»• I I ••»»•»•# •«»■'6 I I I l«»«»»»"kk
I I I 7f777 »4k»kkftk»4»k-,k6»»4»6»ft E I »n»4k4k6»4»k4k64k4»»»» | I »»»»»•»» I III
I I r/l->Tlf>1i77t
■ III »»4»f46*»444444444»». I llllll
44»4466»4444446»6»4»»»» I »IM? I 466444».44»«444»»4»»6» I I »»»»»(.»»»»»444»»»»6» I
......••••»»»»«*»»»■.->-.--••-•>•->-•••■• t 4444»»»4»»»»4»»4»«»» I I t44444»4»»»»6» 4»44444»»46»l
»46444^*44 I I •46*40444464t4»44 | 44444444446444444 | »',' *4»4»»ft44»644464464444A464»»»»» % ft4»4ke»4»(ik»44»4fr I 444' 64»»»4»»4»6A44»*4ft»446»»A4»4»4»»A»A»A41 64e»4ti44444444| | 4444A»4»4»»»4»A»»«»6444646444 | »4»»»»»»| »•»»»-.•.-.•-••••••••••..•..•»»»•»»»»»»»*•»*•*«•»«»•»»*•«»...<1^.•.......*»• 646444»44^66*4»46444444*44444*64444444»»64 | »»»»»»»»»»»»«»»» | |
)4»444»69464646464&464»44 . | | »»»»»»»»»»»»»»»4 I 4ci»4646464444464»4»464»4446444A»464464»4»66»4»ft44»»4 46e444»*»»46»»«4»»»4»»I
|464»444j66464»444«44464»4»44*4«44»4»4»446»44»A I t »»»»»»»»I 444464444444444444»»I | | «4«»»»4».» | kkl
I I 6*44444*6*4.»•»4*»4»44444 »A» I t>4*4*6'4n6444«444 »»»4444*» I I k»k»k»»»»» »»»16444»*» .4*644 I 464(,4»44464
»»»» »»»'»
|46.».&4646464»4
I »»»»446.64»»«
4»»»44»4 I I »44A444| I »»»4C.-,6«
I *»»4»»»»| »»»»»A»»»«»»I
l»tA»A»A«»l I »»»»»«»»I I »•!
Ikkkl'llfkillt -V1MMMMMM*MlMII4|a*K|kl-*-
»»»»»66« l»*A»»»«*»l »»««»»»»»»»»»»»»»»«»»I
4*»«»4««»»«*»Ak»»kk*l — -•.»»»»»«»»»»»»»«•»»»». *.-4»44464k4»*»4»4 4b4*ft*».--.-.-.
I *k»kM«k»k«k«kf«k»k»»«» I »4»46*4*»4»4».«446906*6»4'»4 I •DUIIIltd ODIII»D•»»A»110•»6«n»n| I «»A»»tAAA44»»«»»tt«»A««»»t I I ».•.».•»•»4 Mill»l«llfll|IIM!>IIIMiai l»»l,»»»» I I I 1 »»'i 1 1 »•♦»»•» 1 1 i »»»»•»» imiiiiiitmiii 1 if i ntuiiwiinm •■.»»«»•»»»»»AI»«»«»»»»»»»» iziitin i i mi IMIIklkMCIIkMmM'Mak»'***-!)»!»!!-»——••••—•-•.—•.|||*t|..4..*M«M«IMIIIIkMMI«M»«MMt* »M< I IkfM lllllllllllllllltllll "l"»«I ... I I I "»<•» t »IIIIHIItll I »•»« I I
•MIMiklMICMMkMkMatkHlkM! I llllll I ••«•••«•WIIMIIIMMHMtMMMMtl I I I I I I I I I I I Ilt<lilltl2'tilil7«l>i>t?lir»i»iri>iij<l»lili?.-'itiiiiyiitii>tii*iitiiifiii|iiitiiiii|titit|iiii»t»1
I 111 «• I 11777iti t I ••• M I ItüllMI 1 t KI ••• 1 mtiMi 1 I H» H I •7211" I I
MMMIMMMfMkMMIt •«•••••■•HMIMIIMIM •IIIIHiniMMIIHMM ••••MHM«tn*MI«i4|k
A»»l 1 iiii*m 1 •* Ml 1 »»At 1 IIIMItt 1 »• Ml 1 »»»I 1 1111*11» 1 »R ■•• 1 »6*1 1 tii^m 1 •• •*• 1
Figure 9. Filtered Noise Band: Rolloff:
(.3<f<3cps) .Icps
. VfKSPIWI WIIIIINI HdlM . lit«), SIARIING Al 6/211/00.0 /
4, I >»ibi«r «0. t lltri
IH» K«»»» 'i »••nM"<|M. MM • *
hHIMhfl lu Mtlt IX'll» »»•IK
||u| i,«a t,IU
U"J LU« ».lit
UM« l.ll I.«'!
UfS i.tn i.«»r
U"» I.M I.IH
li ►
I - J
» • *
ii • m
• • • i f ■ •I.IMI <•."•»• ■.«§"• -.'••»«
«« I I «»»•lit«*** I NMlM'fMWIIMI "»«»•>»» l rittti'wutmfw i«.»»»»»'.
|f I t Aftftftft«
t I " I »ft.ltftliÄftÄhf I 71171,/tiJ I «I.«»»'.»«»».
|a || ••--.--••-«--••••«ftllVAA» A* Anil's •----*
| 1 M*AMA1b»6AftAAbft t*f*r intttrt i i »»6»« l»W7WJ« ' »•»«»»•t»»
1.99 |A««ftAftlk*Ak«>ft«A»*.r»bAA«fA'64ftAA('^ -•-
I.M
I.»
."
T.
.1«
lul Bt>. v«mr • a.r.unF u .S>0«B t .'fll .««pr. .«•«• ."»»«
'.--•IIOOQ|ft|9|AtA|l(OnO---..*-*AftA«A%AftAfeA|«4AA<IAA4AI-
I I AA«AKA
|Ah<lA*«*««*n4AAftA'' | AAAAfAf, I I tfJUfitl ■>»>>«•>* i X'imtttwtm i »»A«»« «*»•* I I I »AAO« |*«(M I I MAAS« |AAAAAAAAA*>a.**«-*-*.*.A*AAAAA*
|A«AAA«A*AI I AfAAAIAI I AAAAAI I AAAAAAA
AAAAAAAAAAAAAAA- AAAAAAAAAAA f
AAAAAAAAI t AAAA» I I AAAAA | ?}■'■> I
AAAAA I I AAAAAAAA-
1 t I I I I »»»»»MM»» •
I I»»»?» I
I I I
I -«AIAAAAAAA«
A I I I tllHiltHliilli'i I iinntun.ftifii I irmmntrfHi t vut I
4AA I AAA I I »9/|»»:»7 I
AAAAAAA AAAAAAO AAAAA »AAA»
«'»AIAI -•-•ftl«M !**•♦-----. AAAAAAAA'AAAAA •AAAAAAAA»«AAAA
I AAIAAAA I »AAMA»
•»•AAAAaAj« |
I AAAAAAAAAAAAAAAAAAA|AA?AAAAAAAAAAt | AAAAAAA I AAAAAAAAAAAAAAAAAI I AAAAA 171t>117V>\ I A« I I AAAAA I »75777I I A«A| lAAAA'AA* I I I »AAA4AI
AAA'-'iAAAAAAAAAAAAAAAAAAAAAftAAAAAAA* I AAAAAAAAA«AAAAA«AA«AAA***AAAA«*A| I AA' ..AAAAAAAAAAAAAAAAAAA|AAA|AAAAAAAAAf IAAAAAAA* I | | AAAI I AAAAIAAAA | t 1
AtAA»AAAAkAAA»A*AMAAAAt | ...--.AAAAAAAA*AAA*AAAAAAAAAAAAAAAAAAV
AAAAAAAAAAAAAAAAAAAAAAAAA»AAAAAA| AAAAAAAAAAAA | | |
AAAA6AAA | | 7>7> | AAAAAA | »7177777771 AAAAAAAAAAAAA» | |
A«A.
I ooiiniatAaMntAA innniaiogiiiaiAtiiiniAt
---«HI 1111 niMionaBBr.OMftftntn--»-----AAAAAAAAAAAA AAAAAAAAAA,-*---
|ni)ll)AOtnnAAA«0»B I I UAJOtAA I IAID9tl(IA|l|ll|«|AIIII
KOIvaoDoniAiKAtnt'il"! 'i<i«i|iitA|igii<i|ai»|A|.ii |
AAAAAAAAAAA »AAAAA
A&AAA AAAAA
AAAAAA
IMIAAAf VAA4AAAAAAA»AA|AAAIA—*-•• I «AAAAAAA^A-AAAAAAAAAAenAA» | »»A»AAAA.A»nAAAA»««»»»6<A.AAA | I I | A.AAAAAAI
■J'lMIU'lOOOOOAOfltBAAIn--»-----AAAAAAA-------.---. rilOnAAAIUABAAAinjIlinA« »AAAAAA I A« I'm lononennoangntigimA
iiAPononoDgngonAOiitiivin .lAVuoOAininotgginiiiAl ooAoggggngggggf.jng.iggl
---gngogABigggngAgngiggii-- tAggggiitniMOMiniiaiii
•AAAAA | •A»A| 77777777 A«»AI 777777777 AAA« |
----AAAAAA------*
I I I I 7777?» I
7777777»»7:m777 I 777777777777777777 I
t I «I «Mt*« •MIM «••••I
•••I I «1*1 lAIAAAAAttl
A«A»AA«AAAAA*| I
gniii«i^igiKiiiA|i|g| H j«"»oggeot»ggg«gog,igo«B?
AAAAAAAAA4IAAAAAJA. AAAAAAAAAAA.AAAAAAA I I AAAAAAAAA |AAAAA«AAAAA»AAAAA | -AAAA t | lAAAAAtAI I AAAA^AAAAAAAAtAAAAAAAAAAAtA) r AAAI>AAAA«AAA»AAAAAAAAA!
I I I I iiggggggiiiigggiigtAgiiggAgggggggii . «•••.••«■•••••'.'•••■■•«'«•••••AFI'.BA» •gniigiai«gg|iigggiggg|Agg|A I «A^AA.AAAAAAAAAAAAAAAI
»il<?7»7J77<77 AAAAAA | iigggggsgggAggg.iongA IAAAAAAA I . »717777*7 I MH1iinutiyiiritiW>r> I •*•»• I ••igiBiggAg i AAAAAA 7777777777777777777771 M» ' • »»»77 ••AAA» 1 IAAAAAA »7777 I I «•■ I • »^«•««■«•••"•■•«•nagAg.p.«•)--.-i^?,-.--.-6AAAtAAAAAAAA<-A^A-. «7777A—••■•••••••••fiaill»» —.•.<• I • IM »«»7M I »?I7»7 •"•• I •••• ' t •• I »»I '77>72»»»»7>»I7J77f»?7 III I • • •<• ••»" I 7tI77I7I7» I 11 I ; • ' aaaaaaiaiaiaaaaai 1 .... | , II I I I I ! ,
■ ■ • • • . I
I I I
..I .1 I I
I •4a a« I 47777711 » |M« I a«l •« I >i'»?.M » ■••• I ••• •» I 77k IfX 7 !»•• I Ma a» I W)Ht\ 7 !•••
«•«••••(•••llialPtagega AA-I 7 •••••••••••••••gggagggg AIAI 7 «••••••••»ailiaggiattgg ••*! 7 vgngggaitiMMiiaiagAga AAAI 7
1777*777 I aa aai 1 i7/7f7tt i aa aaa I I7t7*7»7 I aa aa» 1 t777t77t I •" aai 1
Figure 10. Filtered Noise Band: Rolloff
(.3<f<3c5>s) .leps
1 VFKSPTM MKIENT NOISi, MO. STMTIK AT 9/00/00.0 I
n«>-li«u M'J • |i>.ii itiKilni. »ulkt • t intti »nlull
tHt »•».•,► Vt k>0«lx|N» II« • »
»■■••■••{I 10 i>..lt l>C u» ■IS'tM
ital I.M i.n« ■Ml I.M i.tti
U"« l.tl l.tM
U"» I.M 1.«»»
11-.» I.M l.UO
u •
I - J
• • V
1» - I»
i* • n
■"•VI «tlKMIcN •t.MM -•••IM '»MM -.4IM -.rift
t.H trMfMMM'MIIFtMMMMMMMMIII»*"-*-"-- ••««•••••••■<MMii»ii«ft>r*ii«<*ii"ii>ii»a« I i»H!iH1H,.,-.,.(,.,► | •••MMMMMM« I ••M«M1«*M«>«>'>»«M*a-«««<ltlltM«MC I
.M
I
IMt KM, «tliw • «.f**M M I .»IM .«Ml .«•«• .*••• «••
.,a •--••••—.—-MMMMMtiMllllMlllhlM'VIMM* I I IMMPfUMMDIIII'llllailSMXIMKIIKI I » I I •■«• I ••■miUM«««««««? I I MMMIMMMMMMIillMMMMMIII I I ••■■•MMIIXMIMM'ailMMMMt»!*** I I I I I ««<1«M«MM »I
».I« I
I I I I MM»! I I
t.n •»»«••«"»»«'•'»■.«•■«K'OII»«-«-- MP*lll9«l»ftMf ■«# «»MHIiali I I •«•TIno«»»» I 'I liftrtsiiM
I I I t xri-iMI I
I.M .MIMd"«»«—..-•--••.•--.- liH******** I gliiiaMifi'ii'ti i
•• I I :<?r</m<2?
IIII IIII i ■ i i
I WflWf I
7777777777777777717777I I I I I
I i7i2Mtil7!HU77!ll77>777:7777777777t7t7177777777 I 7i 77H77H7777l77?777S7777777777t7t777777777 I 7{/777i77777777777i7777777717777771777 I *77!U77777777777:777r77t777t7t777
'"''•'H*7W*>tt»nntfwtfnnfW*9nni'" I /1-rm?/7 •}1?->->7->l->7.7->777TH7->77777,>7 I flKWiWHt l/777:-7777777777t77777777 I it»«'W»Vm I 7>7t77777777777777>777 I l77i-77t/77H7777777777777777777777 I I 7i7i777i77Jt7777i}7tf7-dr777777777 I
— •W<f77tt77777777t77>l77V777777777777"—— I ?wwi'H?????»!??»».*??»7;7»>»m91
i7*7'77IH777777777?7>77»777777*t7t777 I
■»■••«•«* I •»«■•MUM»)
»tM««»«*««««! •>•••«»•«•«•((«•(
•«•••rmiiiiiotami i
a«mnB«aiia | at««*« |
I I I
l.l« 777
aaaaaaaMaanaii | aaaaiaaiaaaaimnii»!
I I I •f777i777*7f7-77r/777i77 I | 777777777 I I | 77 I *77777777777t777 I I •» M»»»f | 77777777 « 777 I c|M?i{7ilim< I I '»»»»»»« | 777771777 | |
777777771 77 I 77»'»7ll't I I I \7tl7V77* I t I i4t774777i7i I I i 7*7>7><'7>77777/);i 777»7777»7»<7 777'777<»77'777- I ■ 777J777/777.7 I I U777.77«! I I 7S</7«77 I I »/.J7i>j I I 17747777
\7k-r7777777 74777*
777/ rt<i
U77 l<»77 I J7J!
I I
Mr*»****«! «****MaM* »••«(.•**«f**»
I t I I I I I *>*** | I »********•«•«•»»* |
**************#**«** I •Aaa*MftfM»Aaa*aM «**«••--.
%(** **aaa*Ma****' **f *t **«f aaa*bA»ft«aAAiv( «***»
•■••»«•a***M****'*«**»* 'i»MM*»Cl ^*'»»*»»»» »aft6ftM**?tTOharM******
- - -atfta******«*«**'»**a*a4** *»M»MM»«ft**0*f'Mr **•««
7fr777»7 777777777
777I77777J7 77777777777777777
?777777777?777777777»»777f7frl —777;77?77}77>7>.>.7«7;777»>77»7a 71777777777771 I I
7«7>77777777»<77;
I I *«*****»****•*«*>•»»«»»«*»*«•* | I I ***«**M****MraM»*k«*>.MrM*«MMM I I ft*''»a*M«**i»>tM***a*»<k*»»Ltti.»M I I *•*••*•*• ) ***MtM*tMi. I
•***•>»•*( »f ***« %•««*-.•• **l*««*«v ••*»»• I
7*777777777771 77777777777771 7777777777777 7777717777777 --777777777I7».- 77?777?7777
77717777 777771
******»••»I *MM»*«****I **«***•«•*»*«*|
*"*<■****•** I ***M*****«*| I MMMM tMI«M«***l
- «*»•»•»««* **•«**•***•*****•«***• i,., . . , . MI»l*MMa«tM*tatf*a>»a M*M* i *********«*«•«*•«*|
t l««v 1 I ilI!i;!L. •'•••MMMMMaiMMI.MMMMMMHI I 4*..t««*| IrlÄ'i., IZHilmA^ ••••••••••"••*M**'I****MM I *at*M»M I 77777771 trtOnWI« »*.».».»***»»»» | «MMMMtataia I ******•*»«»*«>«*«•» | 7777-777t t »»*. . I 77717 I ****** | **»**•* | »W | ■«MM«* JJ,,, *»«»««),»*«»»».. 777777» ' .. .•'•••-''•"""••••" IM«" 7777777^7717777777277 •«••I
1 *•***■*«*•■•• ... ,., , lc,77»7«7»»7»7 I *"" aaMMakiaiMataiiK I
• .. J ..••.••••r.................... | | .
•••■ .——«...... , ;
••■« i «11*1 ..
• ..I
---7»J7>77777-.-»--»a*a1ll«» »•««•■•«•■««aaM« | «•»•a««« aaataa«« |
•■•«««■•«•IM I •.••.•.*...■..•■...«....I .*•.•••...................|
1 »«a «« 777777*1 7 1*** 1 fa* ■• 77'7744\ t l*t<l I ••• •* ?7'7f44l 7 l*k* 1 ••• »• t7'7744t > 1***
"DMIMMMiiiaiaiaMM IIIMMtMlltMi«*!**«* "IMIMIPMIMMhlriaKl «MMMMMaiaaniMiaia
MM • 7 t77»a7»7 1 *• «•« 1 «*f 1 7 )777777» 1 *• sa» | «««1 7 177»»»7» 1 •• *•• 1 **«l J t»f»»»f» 1 at ««* |
Figure 11. Filtered Noise Band: Rolloff:
(.3<f<3cps) .leps
VFKSPTm .JIBItNT NOISE. UBO, SfARTING AT 11/20/00.0 I UKHflb"»- "I» • Xlh'i NO. 0* i-H^NKH. • %
e«ii>-Li>.. kut • {(«.lit HitHHMi i'ulk< • I tmti »fl|«>t • »••»
TMh ftnm.ih wf twonlMt*.b 1)14. • >
kMMIHI Ml »•Ik HCIO" Ol^fH
UKI I.;J i.m a •
Ki:, I.H i.iti 1 - t
U>4 I.M I.««« » . »
UM» I.M i.««i li • l»
UM« I.H tan 1« - «1
114 • </
*
I.M •i >t|N
I.H
I I I I.M
•
!.»♦
• « « » •.M»t
IHt NO, y«lu« -.MM • .MM
.........«Mttftttt^«».,.....
t »■>»»««••*»»»» I
*.>*IM I» • ••M .MID
I «*• I I
,#M- 'f*(*4k6Ah*^A«^A»^hA»Af AlVAftAftftltMr
iNAiti»»»»»»««»»*»«»«»«««««« i
I »•■*>>«<>«<>»M*»M*U4M*6«»Mt4*«*M**MM*»**ftft
I I I I t
I I I I I
•«•«'.«•»»fttkklintMiltftAktMAkittAiitktOi.MM« I I
M*<>*M**M«»MK«M | ««»««•fk*»**»«»« | »•«•»»»««Mkkil»*'-«».......••........«ttknatit^tkktkii.......
.«•"•
«M**»kkM»i>*«**»»**»ii*«»li»*t»»kt» •MMMkMk M*««««A»KAftkAf*6At «M*»*** I I »>»M»*M* •»»«» I | ••»»»•«>.
,n »MMMM-**>»-«—*.•.••»•«*»•»*— tH*»M*t«*<> I *•••••**»*«* M4*»»*kt«ki* | ««»»(.»kkkk MtM*MI**** | »•»•*•»*» •M*M*Mk*«k«*vkr**k«AAk*ft*Mk»6k *MMMM*»*«Mtnt**M**«*> ••*»»••**
.fa ••.-.-»M*k*k«»'>*f,M*>»Mk MMMMMMMMMimMMM«-- »•»■>M^lt*»**>M» I |..i«lloi|l|ll«ao«IIOOf'0(i|l«(<'«M)ll«flcilg«,n«
MM»MM*»«» »«»MM»«»«« i iiMkigmittgikiftmitanoHimiiiK . .....1.. ! •**•■••' M'tM<MMIM«tM<ii«taa>(« ' .. "'8»»'! I •**•» IMMMMMM««4M|lt lilt UmiWfWHt I M**» | tMMtllat I
.1« .Mi).-»-««.-».»-,•<.»••.i.....j,, »»»»»»»»»»»»»»»»».»»»»|.»... I... ■....,. («■ ir>ti\ i
I
I I I I I ... I
M"
IM IWM | >IMMI «Ml • ""•" I >III»IIIIII«IMII MM I
• I MMM8MHMMMM ...
fM<l***AAk«» I
*MMMMMM*M»MM*M*U I ******* « *«Mt»M«»M |
MMMk t | Mtl •»«••»«»••••••—.••...•M*Mt*M*
****M* I «M**M*«»t| I »•«•*** | t«*»«*«*k*«l | «.>«.•«■ MMMMM*! I M**M«t««**MMM*M**MI I •»t«»*****«MftMM*«**l
...........«MMtMMMtMt««*« r I »*«*****•*••(••••*I I MM*MMMM*MMM(MWM I l**MM*l I |
MM** g «»inn s »«•«» i Mill««*««««««»««« >««i
•iiii»—..••«....••«••«««»•*««•.« mil M« .... i i
........... ...I i .... t .1 i I I
t »•• »" mnit\ 1 IM* 1 «M «• MMIMI ( IM* 1 «•« *• «I4IIMI 1 IM* II «•« •• »».•»»*< 1 1 IM*
MMMMMM««MM<llf4* MMMM*«»«««MMMMil MMI«MM««««MMMM* • •MMMtl.itMIIII.«.*'.
***l 1 um««« i »« «•» i •MI 1 I««»I««I i •• «M 1 M*l 1 » •« «M 1 MM 7 f»«i*iii i *« *M 1
Figure 12. Filtered Noise Band: Rolloff:
(.3<f<3cps) .leps
■mir 'i^ ■ fi:iiM<:' "■• '
VFKSPIRn ÄHBH-HI NOISI, III«). SIAHIINdAI |l|/(KI/(IO.O /
l.»«'"H In >•■ >ll t«ll|M WUH
IIM| l.ll« ».MO
U-l l.un /.|18
1.^4 1 .im I.M»
Hut l.ll» !,«»• i)..» I.KH i.im
«. - » 1» - 1»
ll< - /l
•«MM
t
HA», vtl ur .»»IIIII
J.-JKHIIf 1.1 .<{im .*fifi*» I.MM
K.a'
».»•
I.W
l.«l
.»»
f I «tfiftian l-H^H»«!» 'H"»"! I I I OIH«t*«»*»»Hf tSlBIIIIII»"»'!"! I • ..-..->-.*-'..>-*---miNR'l«MlinMM*Hli||',|mnMHflti--"--**-«•• I I I »»»•«»«■•«»«»«»»iMI« I 1 I »■•»MVFIll^lluilHM^Iinn*'« f I i|llN*ll-»S«l|«0»l|H||P|«M||P | |
•I
M^II'Jli I enniii l i
HA.■•.**■.*->•■•-iHI 10(1«I»»H,- mHHt*Mli>MlMgMI>iarflMI «•l|K»i*N'^<tMrtn-»h i | I I I
*'t?W7?}l??V17?>7->7t71777?\ 7 J. t77il777t7/7}7i >77;y7->777lJ Hrim7l'nit771>777l?M
77/*777i777t77777Tt>777777777 I ■i'/>l7ifi7i/77m7i>7?/>77*77777t7i
,l7tlt7>il,'ifm777i77777 I 7,>777777777
»»"«»»^RUPHPillUHflllllHWIi.fllH»'!««*«^!!^"«'»*««^---* «•.•.«•■•liaMIIMIIMMMMItM'MIHIMII I
hH"Anil««nlia*AR*A«ppiimtiialliiiillilit I I I •««Hr.««««««!,.«.!,«!!»«««»!) i I I I (»««.»M««««« ••••|
I I t I
QftMMIIMIIIIIMMWMMI «««»«•«•H1l««»«»»ll«««H»
Ml|Ma>«M«MM>MI|*llll| • ■(«•••••««•••«••■IIMI)«! • ■inaoiiaMiaiiMMliauM«! aaaaaaaaaaaaaaaaaiiaMi
I ilTi*l77'77lr77t'i7i,
i'7t7tt'7mmrm7 7777777 1777777
I aaaaMaaaawMM«*! I aaaaanaaaaa | t aaaaaaaaa | I aaaa^aaaaai |
I I tr ft? 7771
777K 717117 t 77777777 I 7)H-i>}' ■
—7I77U771 — I 77777*7 I 777il7H 177777is77l I 7i77H7 \
l^aaan« a^aav^M ■oaaana •laari
a^aaa't- I
I 777'777/77
I It77tr | I <"»?»» I I f>717 I • -»»?>» — • I »7» I I 17771 I • 777 I
«aaaaa Hi7\ aH"a 7/171
I 7777 I a'if.a**»*»** «aaaai 7777
»i
I I I I 7777777 I I I I I 7777777 t
^aka'fMftaaaaakaAaaaA | 777777 1 itviM*« ,Aa6aaaafAAft^aA#.aaMA I 777777 1
■'»»nka^aaaaakaf »ataa^ftfttiftm^ftfta I77777 f
»tlfcaa* ««aa*»l
*ft*ft»,---*7y7?.
«aaa« afaaaf
aaaaa
7777 17777 I »77 I 777 I 777
.-aaaaa. aaa
aaaaaaa
aaaaa •aaaaata
I
a*iitf<a,>ria'i*ia4*aaa«ifiAAaaaAa4aAaaaata$aaaaAa
aaaaaata*>«*a977p.l
•a*a<a« 1 7777
77777
I I I I
aaaaaaaaaaai 1 aaaaaaaaaa 1 71 aaaaaa«* 1 „;|
•«••««•••«•«•••MffM* > 77777777771 I I 777777771 «aaaaaaa 1 77777?:I
77i777'777i7 M«»a«»a | | | »««atfaaaaaaa 7777 »777,7 i ...—.——4.............t,rii»-«-—.—"..-aaaiat-»"— .. t-tfiwunft-n.m»....» ,w
< «'««aa I innaaiataitaaaaiiaaf^aaainaa I aaftaat | **a»*| «aoairantaaaiaiacaaiiiaaaaag aaaaaaa 1 7777777777 |
ongatoiaoaaaoogaeigaaata *a«»a 7777*7? | 77771 I •igaataoogagog 1 aaaaai 77777777 aaaa 71
'*• • aaaaaa 7777 1 aaaaaaaaa aa | • -*•-., ^aaaaaaaaaa«.--•...yyyyg.»..aaaaa—•......•.• ...a 'lHIU77t7{777inri777 anal , ,,, | .1
7777771; 77777 1 aaaa |,„ , | j
I I 1
I I 77?'?7 I »»»Ttl 7i7'7})ii7nit7/7m7ii-> 4»aa 77 I 1 «rast lagaa t (aaa-aaaiaaaiaaaaaa 7777 a*-** --•-....••.>...aaa.«*y ^»
1
i" i."i 1
-aagaa I aaaaaai I I.
1 ii»a aa 1 tt'tttWI 1 a»g aa 1 77UHt\ 1 *«a aa 1 tj-nm I a«a a« 1 ,, vi#*l
I (aaa i'aagogaraaaaaoagigaaaaa i l^aa bgigaaaaigagagagigaaaga » laaa aagatgaaagggagacataaaga * f-a» iiniiiiugaifniiagogngigaMna
aaa| 7 1777*777 I aa aaa I aaat 7 1777*717 t •• aaa 1 a*a| 7 1777*777 1 aa aa« | «*«I 7 I777*77> I a« aaa I
Figure 13, Filtered Noise Band: Rolloff:
(.3<f<3cps) .leps
VFKSPIRN AHBILNI NUISI. UDO. SrARIING AI 1S/1W00.0 I tHWNvtl* ««, • tttat «a. tt PMiUNH • »
• •Mil»«. Mi1« • m.gi t<««iiNl »nmi • I inin »ointi • M«»
«-•«••.fl ID ^«U licit» DirtN
»Ml ».?»!
UMJ (•Ill ||X4 IttN UK* I.MI UK» l.tll
Ü «
» - » tl • I*
It • di
I* . tl
(»MM.
* t
• • « I •• '•••II •>****
|.«| t—*!>•••••••—••••• n •••••••• Ml ■•• m* i im i «rt ••••••
N II K ■ » X <•••• ••••••
i
-•"t>l' it?* ttft it* in
.•••• --••»Äf •-•---—---♦-
INI Ml. VUU» • • .!••• »MK>« I **•• I •*•«* | «I*** I
i •>■• in ••** i I M «»-•«•••»••»•.-.—»niM»—i»v—»*»•
n ••»•••I««* »■•••••i Di^i «-kit HI ••«••I»«« «iiiiaii««« V(|pf «iitt III Hoc«»«« ••nKiiii nyy «*** ma ••'•■• ••>•■• im tin* llll »»•••It ••••«•• 1(1} «»IB*
!.•• iiu.—•••■>••—•;'•••••.—rti»—»»»»» in ••■'• •••••• mi Hi ••••<•• fi»««« in ••■••••• »••••••• fyy ••••••••••^•••••••# III *•*••••••••••■•••••
t>>* |||—M>W»"*M"il>a'«M>-—lil«—*»M)»-<^—— im •«•««•••••••«•M mi ••*«» i
itrl Kill llll llll
•kt*
I I I I I
I I I I I
III ••••••••••••»•••a HI •••••••••••••••a
«III <lll III I
•At** ••«•• *•<**
" — •*•••—-ll- I«*** III •• l*»M* lltl • I •*•** till I MM* I till I ••••• llll
••••• .*••• • MM («Mil «•..-......MMM-.-ft* I ••••••• |f| t «■•••••• |l| I ••••••• Hi I ••••••• |f| I ••••••• If*I
•"»»•»•"till—• — •»-——••••••••••III» I »*•» llf ••••■••••••••••••• |||t i ••••» in ••••••••■••■••■•M ml i ••*• mi i ••••••■•••••• mi i •»•** ittn i ••■••••• i«ti i ••••• ittit i ••«•••» mi «••*»• »»•••itii**.•••-•••••••»••»»..«iti* i **•« mi • i »•»«■••• imi i ••••» ttti ••••■•••••••• um I »»»• lltl •••••••••• IM» till i »*•* ttti •••••«•••• i ••• mi i •**•• tti ••»•••••••••• i •••• mi
..■•..MM"-|ttl—""M«MM**>«MM*«^tl* •••»• •»••» II
lltlt tttll
in •••••»•••••«•»»•• mi *»>** i ^» i »***» ttti lit ••••••••••1»»»M l^lll ••'l** i ^f*v^_ i ••••• lit»
I.M lit'——••"•••"•••••——lll-<"W*M—»"VSln«»M)(V--—»^^»»M»"»-tl Hill • III»? I I Kt I I tilt I I t>ll •
tit I •*■>* I I ItllOM"««!) I »*«*» i v~—Siiin^
1.1' •-UI-----l"^i'»".---» —-I»»!-
. Itll »tiiii i »»•** •tin i •»*■•* >im i »••*»
• HI •••» IIUl »M tttll ••••»• llll »•••Mn llll ••••
mit >i>» »I»I mi
i »»I»I
'•••»••»•--••• I •••• i i »•»•> i i •»*••' i i»»»»i i »••»•>
•••••»• ••••••••»•«^ •••••••••m -••••••••••i(—•• •••••••••••ii» •••••»•••••••i ••••••••••••• •••••••••••i ••••••••••»•id
t i i i i
in *•»*• | ||«| t »»••» I llltl t »•»»» i tmi i ••«••i mi i ••«MI tmi i
.«»•»«••..imt-«.. •MM mm •»•»i
MM I •*••* I ••*• I
mill IIIII t
tut i i
••••»••••••• p»i »•»MM» mi ••••••• ttti ••••••• mi ••••••• mi
• ■•';, ••••....|t|» •»•••• mi
MM til »Mm in
»•••MK1 till >»»l
•III« ••»••• mi •••••• mi
••MM mi ••••• mi
••■ »HI I.M •-i>i**"***->-->****>imi—•**•••••—•-iii(Mt«iM»|.iiM-".—M*M»^.mt—<—.......g......ttt»
' "■ ' ' '"" "" »ill »»il
»»»»I »Mtll
I
III» III»I I t»tl III tmi i
i»»»» i
mn it ■rf »
•••••• tt
I •••4 I •»•« I »MM I »*»•> IM»»'.
»t I •••••••»■••••'(•■••t I •••••••••••••.•••••I t ••••••••11111111 I I ••••MMMMMg I I •••••••••••••1|M
.M •••ittiia-«——•■•••••tu—•••• •••••••••••••••«•• M**-<"m—* I *\liVJi ! .',' ?!J* •••••••••»•••••M i ••»•» i »im i tint i iiim i M* •••• ••••••••••••••••»••• i «AMI tmt i m»i»
* II!«.. .Ill" fiS* ••••••••••••••••MMM •♦»•• mttt (Itttl ! •114111 <tl|> •••» ••••••••••••••••MMM »MM
•MM I • I
l»»l I»»» I I
»II ■• I II •■ I I» I I
——♦»»»»»»•—• I I I
»»>»>»» »mit» <. !*•***••• V.* * **Ji..\n . !'" •••••••••••»•»•••••»•• MM»« mmtmm »i '" tlfltJJr! —V-«—»MM MMMMMMMMMIMMMC——••»••••••••—••••.••—.MM**
••••M*M>* | •••••* I •••••••••••••••••MMMMMM» l*»M*»* I I «MMt*l • ' uttunmt ***** , •••••••••••••••••••••••• ••♦»» immtmi i M »»»•»MM» I '"I., t III.. ! ••••••••••••»•»•• • ••♦»• mttimm i imnt | it ********* mim »»» " •»••• i •••••••••••• i «MM i tin i i mi IM I WflMMM» m M»MI J ■*•*«. tttt •••••••••• •••»•••»■• .i» •• wm» ■ ••
■ ••
• ■ i
» **»*",***,'*ltl|*,"****MM»IB(M>(Mi«»»«»«int«i»liw. I •• I»»» llllllltltllllltl»»»»»» Mil .. I •• I •«• l»l»»«tttt»>»Kllt»t ••»• I ,. I ••. •■•<« I Mltli I MM ... ! I .... I MMMMMMM« I .... I I I ••....I I I,
.... ■ • I
>.••*••■•...
......... I .. I t I
I -••• ..I ..I
I I I
t tt» tl I »tit»»»I t I»*» I IM M I ItltlMI I |M* i M» •• i it»tr<ii i IM* I M* M I itlttMl t IM*
MMMMMMMItMMM* MMMMMMMMMMMi • ••••••••••••••••MMM • ••••••••••••••••»»MM
I l»»»»»li I »• Mil I I !»»»•»»» I M ••« I t liffltn I M ••• I > l»»»»»t» I M *M I
Figure 14. Filtered Noise Band: (.3<f<3cps) Rolloff: .leps
Unclassified Swrutity ClaBgificjtion
DOCUMENT CONTROL DATA - R&D (Stcutllr elmttlllcmllon ol till», boar ol a6«lr«cl and intlmiimt annulmilnn muml bm mnimiiJ ivft.n ihm onnll »pan in zlttnlltal
ORietNATINC ACTIVI'V (Corpormlm tulhor)
TELLDYNE, INC. ALEXANDRIA, VIRGINIA
la REPONT •■CUftlTV C •.«■•■■'ICATieN
Unclassified 16 OBOUP
i MPONT TITLE
STABILITY OF FREQUENCY-WAVENUMBER NOISE SPECTRA AT UBO
4 OESCRIPTIVC MOTCI fTrpa al rapaM ml BSESlM dmlmt)
Scientific t. AUTHONf*) (Laal nun.. Ilnl nama. Inlilml)
$ax, Robert L.
• MC PONT DATE
September 8. 1967 • a CONTRACT OH I
F 33657-67-C-1313 ». P«CJ«CT NO.
VELA T/6702
'ARPA Order No. 6 24 jARPA Program Code No. 5810
flT TOTAL NO. OP P*oe»
24
T» NO. or nap«
1 • a. oRiaiNATnn'» RIPOMT NUMotnfSJ
197
*k. OTHin RfPORT uo(t).(Äny aAarmmkan *•• mar »• »aal»iarf ml» rmpott}
10. A VAILASILITV/LIMITATION NOTICCI
This document is subject to &pecial export controls and each trans mittal to foreign governments or foreign national may be made only with approval of Chief, AFTAC.
M. lUFPLEMENTARV MOTEt It. SPONSORIMO MtLITAHY ACTIVITY ,,,,„„„ . _-„„„ ADVANCED RESEARCH PROJECTS AGENCY NUCLEAR TEST DETECTION OFFICE WASHINGTON, D. C.
IS ABSTRACT
Seven four-minute samples of the ambient noise were subjected
to frequency-wavenumber (F-K) spectral analysis. In order to
observe the range and character of variations in the F-K power
spectrum. The observations are derived from the same normal pop-
ulation. The apparent variation in the underlying noise statistics
or processes do not suggest gradual diurnal variations in the
noise power, but large and apparently random interday fluctuations.
»
DD .'A 1473 Unclassified Security Clasaification
Unclassified Security Classification
KEY WORD«
Seismology
Microseism
Seipmic Noise
Spectrum
Stationarity
LINK A BOL» WT
UNK B ROLE. WT
tlNK C ROUC WT
INbTRUCTIONS I. ORIGINATING ACTIVITY: Enlar Ihe name •nd a^ldram* of Ihe contractor, eubcontraclor, grantee, Department of De- fence activity or other orcanltatlon (cotporal» au(Aor) Issuing Ihr report.
2a. REPORT SECUWTV CLASSIFICATION: Enter the over- all security cleaalflcallon of the report. Indicate whether "Reelrlcted Data" la included. Harking la I« be In accord- ance with appropriate security regulations.
2b. CROUP: Automatic downgrading la specified In DoD Di- rective 5200.10 and Armed Forces Induelrlal Manual. Enter the group number. Alto, when applicable, show that optional markings have been used (or Group 3 and Group 4 as author- Ixed.
3. REPORT TITLE: Enter the complete report tit'e In all capital Istleru. Titles In all cases should be unclassified. If s menningful title cannot be selected without claasifica- tlon, show lllle classification In all capitals In parenthesis immediately following the title.
4. DESCRIPTIVE NOTES: If appropriate, enter Ihe type of report, e.g.. Interim, progress, summary, annual, or final. Give the Inclusive deles when a specific reporting period la covered. 5. AUTHOR(S): Enter ihr nameU) of authaK«) as shown on or In the report. Enlei lest name, first name, middle Initial, If military, show rank and branch of service. The name of Ihe principal author is an absolute minimum requirement. & REPORT DATE: Enter iha date of the report as day, month, yeer, or month, year. If more than one dale appears on the report, uae dat« of publication, 7a. TOTAL NUMBER OF PAGES: The total page count shouU follow normal pagination procedures, i.e., enter the numbet of pages containing kiformatloik 7b. NUMBER OF REFERENCEa Enter the total number of " references died In Ihe report. 8a. CONTRACT OR GRANT NUMBER: If appropriate, enter the applicable number of the contract or grant under which the report waa wrlttetb '. 86, 8c, <• 8rf. PROJECT NUMBER: Enter the appropriate military department Identification, auch as project number, snfaproject nuadbor. system numbers, task number, etc. 9a. ORIGINATOR'S REPORT NUMBERS): Enter the of fi- el jl report number by which the document will be Identified and controlled by the originating activity. This number must be unique to this report. 9b. OTHER REPORT NUMBER^): It the report has been assigned sny other report numbers (either by Ihe orltflnatoi or by th» aponaor), alao «nter this numbers). 10. AVAILABILITY/LIMITATION NOTICES: Enter any liar- llatlora on further dissemination of the report, other then those
imposed by security clssslflcatinn, using standard statements ' auch s».
(1) "Cuallfled 'equeaters may obtain copies of thla repon from DDC."
(2) "Foreign announcement and dissemination of this report by DDC is not authorized."
(J) "U. S. Government agencies may obtain copiee of this report directly from DDC. Other qualified DDC users shsll request through
(4) "U. S. military agencies may obtain copies of this report directly from DDC Other qualified usera shall requcat through
(5) "All diatributlon of thla report is controlled. Qual- ified DDC users shall request through
If the report hes been furnished tc the Office of Technical Services, Depertment of Commerce, for ssle to Ihe public, indi- cate this fact and enter the pric, If known, 1L SUPPLEMENTARY NOTES: Use for additional explana- tory notes. 12. SPONSORING MILITARY ACTIVITY: Enter the name of the departmental project office or laboratory sponsoring (par- ing /or) the reaeerch and development. Include addreaa.
13. ABSTRACT: Enter an abstract giving a brlaf and factual aummnry of the document Indicative of the report, even though It may alao appear elsewhere In Ihe body of the technical re- port, if additional space la required, a continuation sheet ahall be attached.
It ia highly desirable that Ihe abstract of clansified reporta be unclassified. Each paragraph of the abstract shsll end with an indication of the military security classification of the in- fotisation In the paragraph, rapreaented as (TS). (*), (C). or (V).
There la no limitation en CSe length of Ihe abstract. How- ever, the suggested length la from ISO to 229 words.
14. KEY WORDS: Key words are technically mean'^gftil terms or abort phrases that characterise a report and may be uaad aa Index entries for cataloging Iha rapmi. Key words muat be selected so that no security claasification is required. Identi- fiers, such ss equipment model designation, trade name, military pteject code name, geographic locatlor. may be uaad aa key words but will bo followed by sa Indication of technical con- text. The assignment of link«, rules, and weights la optional
Unclassified Security ClaMlflcatioii
ft
J