This paper presents a novel approach for efficient computation of adaptive
weights in phased-array antennas. The fundamental philosophical differences
between adaptive antennas and adaptive signal-processing methodology are a
lso delineated in the introduction. This approach, unlike the conventional
statistical techniques, eliminates the requirement for an interference cova
riance matrix, and represents a rethinking of the entire conventional appro
ach to adaptive processing. This approach provides greater flexibility in s
olving a wider class of problems, at the expense of a slightly reduced numb
er of degrees of freedom. It is important to note that the application of a
deterministic approach to address stochastic problems with an ergodic stru
cture can be seen in the works of Norbert Wiener and A. N. Kolmogorov, as o
utlined in the introduction. This paper presents examples to illustrate the
effectiveness and uniqueness of this new pragmatic approach.