Module2 Part3 Satellite Alatimetry (1)
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Transcript of Module2 Part3 Satellite Alatimetry (1)
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Satellite Radar Altimetry Over 70% of the earths
surface (Ocean and large
lakes at MSL) the arthssurface corres!onds to thegeoid"
A s!ace#$orne nadir !ointingradar can $e used todetermine the satellite to
surface distance $y sim!lymeasuring the to ay traveltime of a radar !ulse"
&oot!rint si'e is #*km+de!ending on surfaceroughness+ s!atial sam!lingde!ends on or$it"
,hen com$ined ith accurateor$it !ositioning candetermine sea surface heightand hence geoid veryaccurately"
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Altimetry -rinci!le
h = ct2
Altitude -ulse Length
/ransmit &reuency
O!erating Mode
Antenna Si'e
-ointing Reuirements Transmitter Power
Pulse repetitionFrequency
On-Board Processing
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AL/1/23
(a)Errors in orbit determination
Atmos!heric 3rag
4igh order com!onents of arth5s gravity 6eld
(reuires h 800km)
(b) Signal to Noise Requirements
/ransmitter -oer is limited
9eed reasona$le Signal#to 9oise (S9R) ratio
:urrent s!ace#$orne altimeters
/O-;
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Range Resolution 9eed a short duration !ulse in order to>
(a) Measure range !recisely
($) Resolve surface roughness
&or !ulse duration >
Se!aration of echoes>
1n order to resolve se!arate echoes from surfaces A and ? e reuire>
Smallest ave (roughness) of interest is @0"8m
4ence reuire>
t=2h
c
2h
c
2x0.5
3x108 3ns
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Measurement !recision 1n general can achieve measurement !recision of 0"#0" B instrument
resolution $y 6tting a knon instrument res!onse to the data>
-ulse idth related to the &reuency ?andidth of the radar (?)>
MaBimum Bfor arth O$servation limited $y international &reuency
allocations" /his limits the choice of transmit freuencies"
9eed a centre freuency (f) high enough to su!!ort this $andidth
B =1
for = 3ns require B330 MHz
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/ransmit &reuency
Other factors aCecting transmitfreuency>
Atmos!heric /ransmission /echnology
Antenna Si'e
Atmos!heric Refraction
On#$oard conDicts
/o date all satellite altimeters
have used a freuency fof
f@ E F4' (Gu $and)
RS#> f = E"* H0"8 F4'
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O!erating Mode
:once!tuallysim!lest is ?eam
Limited O!eration" Reuire that
aveform curvatureto $e small enoughithin $eam limitedfoot!rint that all of
the surface isilluminatedsimultaneously"
4ence reuire thatrange diCerence due
to $eam s!read (R)is less than the
surface roughness s
to $e resolved"
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?eam curvature reuirements
R =R h =R(1 cos)
=R 1 (1
2
2+ ....)
? R2
2h2
2
for R
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Antenna ?eamidth
&or RS# > h=7*0km+ ="cm+ s=0"8m
4ence reuire 3 I"7m JJ
Antenna very large and eB!ensive ,ould also reuire very accurate !ointing
&or h K Ecm and h = 7*0 then reuire >
Antenna Beamwidth 2=
D
= Wavelength
D = Antenna Diameter
For : 2s
h
Need : D
2
h
2s
2h
h 0.016
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O!eration Mode
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-ulse Limited O!eration Alternative method of
o!eration
2se $road $eam # henceAntenna small (:hea!+
&easi$le+ less critical !ointingreuirement")
Reuirement on 3R is that itshould $e greater than the
eBtreme (Es) of the largest
roughness likely to $eencountered"
/hus reuire >
4ence >
&or Ocean aves s(maB) @
8m" 4ence 0"7 and 3 0"Im
6s(max)
h
D
2
h
6s(max)
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-ulse Limited Feometry
B!andings!herical ca! of
microave energyintersects ground"Area illuminatedeB!ands as diskuntil rear of the!ulse arrives #
then eB!ands asannulus"
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-ulse Limited &oot!rint# Let A(t) $e the area of the surface !erceived $y the altimeter to $e
illuminated $y the altimeter at a given instant of time"
A(t) gros linearly ith time until the disk changes to an annulus+after hich A remains constant"
/hus the area of the -ulse Limited &oot!rint (&or a Dat surface) is >
and the -L& diameter is >
&or RS#+ 3-L& = "7 km
APLF
= hc
DPLF= 2 hc
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-ulse ?lurring
As the surface $ecomes more rough the leading edge tends to$ecome more $lurred
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