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The first part of (15) gives the output current in a summation form while the
second part expresses the current in a matrix form.
Where:
(16)
(17)
(18)
(19)
F
is a vector that contains the information about the source signal,
S
is a matrix
that contains the terms of the double sum present in (11), g V
is a column vector
that contains the adjustable weights and
N
is a row vector that contains the
noise for each antenna element.
The aim in this problem is to use the vector g V to transfer the matrix
S
into
the following desired vector.
(20)
Reducing the matrix from S to the vector S Desired allows for the use of the
orthogonality principle. When considering the product between F and S Desired
the output current becomes:
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