The DFT of a vector [a b c d] is the vector [α β γ δ]. Consider the product
\[\left[ {p\,q\,r\,s} \right] = \left[ {a\,b\,c\,d} \right]\left[ {\begin{array}{*{20}{c}}
a&b&c&d \\
d&a&b&c \\
c&d&a&b \\
b&c&d&a
\end{array}} \right]\]
The DFT of the vector [p q r s] is a scaled version of
A. [α2 β2 γ2 δ2]
B. $$\left[ {\sqrt \alpha \sqrt \beta \sqrt \gamma \sqrt \delta } \right]$$
C. [α + β β + δ δ + γ γ + α]
D. [α β γ δ]
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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