S. Williams et al., INTEGRATED SATELLITE INTERFEROMETRY - TROPOSPHERIC NOISE, GPS ESTIMATES AND IMPLICATIONS FOR INTERFEROMETRIC SYNTHETIC-APERTURE RADAR PRODUCTS, J GEO R-SOL, 103(B11), 1998, pp. 27051-27067
Interferometric synthetic aperture radar (INSAR), like other astronomi
c and space geodetic techniques, is limited by the spatially and tempo
rally variable delay of electromagnetic waves propagating through the
neutral atmosphere. Statistical analysis of these variations, from a w
ide variety of instruments, reveals a power law dependence on frequenc
y that is characteristic of elementary (Kolmogorov) turbulence. A stat
istical model for a major component of the delay fluctuations, the ''w
et'' component, has previously been developed by Treuhaft and Lanyi [1
987] for very long baseline interferometry. A continuous Global Positi
oning System (GPS) network is now in place in southern California that
allows estimation of, along with geodetic parameters, the total delay
due to the atmosphere above each site on a subhourly basis. These mea
surements are shown to conform to the Treuhaft and Lanyi (TL) statisti
cal model both temporally and spatially. The TL statistical model is a
pplied to the problem of INSAR and used to produce the covariance betw
een two points separated in time and/or space. The error, due to the a
tmospheric variations, for SAR products such as topography and surface
deformation is calculated via propagation of errors. There are two me
thods commonly cited to reduce the effect of atmospheric distortion in
products from SAR interferometry, stacking and calibration. Stacking
involves averaging independent interferograms to reduce the noise. Cal
ibration involves removing part (or all) of the delay using data from
an independent source such as total zenith delay estimates from contin
uous GPS networks. Despite the relatively poor spatial density of surf
ace measurements, calibration can be used to reduce noise if the measu
rements are sufficiently accurate. Reduction in tropospheric noise inc
reases with increasing number of measurement points and increasing acc
uracy up to a maximum of root N, where N is the number of points. Stac
king and calibration are shown to be complementary and can be used sim
ultaneously to reduce the noise to below that achievable by either met
hod alone.