The product of illuminations results in the convolution of the corresponding patterns (i.e. low sidelobe delta pattern).

-1

-0.5

0

0.5

1

-30

-20

-10

0

10

20

sin Theta

gain (dB)

-1

-0.5

0

0.5

1

-1

-0.5

0

0.5

1

Real part

Imaginary part

weighting

function

pattern

...

...

multiply

by

=

convolve

with

=

element #

element #

element #

angle

angle

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