engineering recuitment HPCL Junior Executive 2025 Mock Test Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS)
The symmetry property of Discrete Fourier Transform (DFT) is
1
\({x^*}\left[ n \right]\mathop \leftrightarrow \limits^{DFT} {X^*}\left[ {{{\left( {\left( { - K} \right)} \right)}_N}} \right],\;0 \le n \le N - 1\;\)
2
\({x^*}\left[ n \right]\mathop \leftrightarrow \limits^{DFT} {X^*}\left[ {{{\left( {\left( K \right)} \right)}_N}} \right],\;0 \le n \le N - 1\;\)
3
\({x^*}\left[ n \right]\mathop \leftrightarrow \limits^{DFT} X\left[ {{{\left( {\left( { - K} \right)} \right)}_N}} \right],\;0 \le n \le N - 1\;\)
4
\({x^*}\left[ n \right]\mathop \leftrightarrow \limits^{DFT} \left[ {X{{\left( {\left( K \right)} \right)}_N}} \right],\;0 \le n \le N - 1\;\)