One can similarly show that the discrete Fourier transform of the
"circular" convolution
of
two
Μ χ Ν
arrays
in the
frequency domain
is
equal
to
the
product
of the
inverse transforms
of the two
arrays. That
is, if we
construct
the
following circular convolution
in the
frequency domain:
M-l
N-1 M-L N-1
G(u,v)
= Χ Σ
F(w,z)D(u-w,v-z)
= £ £
F(u-w,v-z)D(w,z)
w = 0 ζ = 0 w = 0 z = 0
for
u =
0,1,2,
...,M— 1, ν =
0,1,2,
...,N— 1,
then
its
inverse discret ...
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