logistic_guy
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- Apr 17, 2024
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here is the question
Consider the finite-duration signal \(\displaystyle x(n) = \{1,2,3,1\}\).
(a) Compute its four-point DFT by solving explicitly the \(\displaystyle 4\)-by-\(\displaystyle 4\) system of linear equations defined by the inverse DFT formula.
(b) Check the answer in part (a) by computing the four-point DFT, using its definition.
my attemb
how to use the inverse DFT formula to construct \(\displaystyle 4\times 4\) matrix?
\(\displaystyle x(n) = \frac{1}{N}\sum_{k=0}^{N-1}X(k)e^{j\frac{2\pi}{N}nk}\)
Consider the finite-duration signal \(\displaystyle x(n) = \{1,2,3,1\}\).
(a) Compute its four-point DFT by solving explicitly the \(\displaystyle 4\)-by-\(\displaystyle 4\) system of linear equations defined by the inverse DFT formula.
(b) Check the answer in part (a) by computing the four-point DFT, using its definition.
my attemb
how to use the inverse DFT formula to construct \(\displaystyle 4\times 4\) matrix?
\(\displaystyle x(n) = \frac{1}{N}\sum_{k=0}^{N-1}X(k)e^{j\frac{2\pi}{N}nk}\)