  In this paper, we demonstrate that when the ratio $n$ of the number of
antenna elements $N$ to the number $P$ of radiating sources is superior or
equal to $2$, then it is possible to choose a propagator from a set of
$n(n+1)/2-1$ operators to compute the Angles of Arrival (AoA) of the narrowband
incoming waves. This new non eigenbased approach is efficient when the Signal
to Noise Ratio (SNR) is moderate, and gives multitude of possibilities, that
are dependent of the random data, to construct the complex sets whose columns
are orthogonal to the signal subspace generated by the radiating sources.
Elementary examples are given for $n=3$, $n=4$ and $n=6$. The simulation
results are presented to illustrate the performance of the proposed
computational methods.
