On optimum synthetic linear arrays with application to radioastronomy

We show that
n
antennas may be used as
m
successive linear arrays to give, without redundancy, all the spacings from 1 through
m n(n - 1)/2
, for
m = 4
and
n = 3, m = 5
, and
n = 3
, and
m = 4
and
n = 4
. For every case, solutions are given requiring the minimum number of stations.