Next: About this document ...
Up: IRAM Memo 2009-1 IRAM-30m
This section is just a reformulation of the original demonstration
by Ball (1976).
Let's assume that we are measuring
on-positions for a single off. The same integration time (
) is spent
on each on-position and the off integration time is
where can be varied. Using eq. and
, it can be shown
Differenciating with respect to , we obtain
Setting the result to zero then gives that
the minimum elapsed time to reach a given rms noise is obtained for