Noise
• Antenna A: rx noise voltage A, signal voltage a
• Antenna B: rx noise voltage B, signal voltage b
• After correlation: (A+a).(B+b) = A.B + a.b + A.b + B.a
– Only a.b may have a non-zero expectation value.  This is the
desired, correlated signal.  The other terms give purely “random”
noise.
– In conventional interferometry, A>>a and B>>b, so A.b and B.a
are negligible compared with A.B .  The random noise on the
image is dominated by A.B .  The noise is statistically constant.
– With FASR, usually a>>A and b>>B, so A.B becomes negligible,
and the noise on the image is dominated by A.b, B.a & a.b .
• Since a and b are also highly variable with time, this can
give noise in an image strange properties.  Some imaging
algorithms may not work as expected.