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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