engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Definition of Discrete Fourier Transform (DFT)
Let x(n) be a 8-point real sequence with 8-point DFT X(K) and x(n) satisfies the symmetry
\(x\left[ {n + \frac{N}{2}} \right] = -x\left( n \right)\) n = 0,1,2,3,
Then the value of \(\mathop \sum \limits_{k = 0}^3 X\left[ {2k} \right]\) is ______Enter numerical value using the virtual keypad. Round off where necessary.