engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Definition of Discrete Fourier Transform (DFT)
Consider a 4 point sequence x[n] given as x[n] = {4, 5, 6, 7}.
If:
\({x_1}\left[ n \right] = x\left[ {\frac{n}{3}} \right]\) and
\({x_1}\left[ n \right]\begin{array}{*{20}{c}} {\mathop \to \limits^{12 - Point} }\\ {DFT} \end{array}\;{X_1}\left( k \right)\)
then the value of |X1(0) – X1(6)| is _______.
Enter numerical value using the virtual keypad. Round off where necessary.