Biểu thức nào sau đây mô tả tính chất đối xứng của DFT

$\text{D}\text{F}\text{T}\left[{\tilde{x}}^{\text{*}}\left(n\right)\right]={\tilde{X}}^{\text{*}}\left(-k\right)$$\text{D}\text{F}\text{T}\left[\tilde{x}\left(-n\right)\right]={\tilde{X}}^{\text{*}}\left(k\right)$

$\text{D}\text{F}\text{T}\left[\tilde{x}\left(-n\right)\right]=\frac{1}{2}\left[{\tilde{X}}^{\text{*}}\left(k\right)-\tilde{X}\left(-k\right)\right]$$\text{D}\text{F}\text{T}\left[{\tilde{x}}^{\text{*}}\left(n\right)\right]=\frac{1}{2}\left[{\tilde{X}}^{\text{*}}\left(k\right)+\tilde{X}\left(-k\right)\right]$

$\text{D}\text{F}\text{T}\left[{\tilde{x}}^{\text{*}}\left(n\right)\right]={\tilde{X}}^{\text{*}}\left(k\right)$$\text{D}\text{F}\text{T}\left[{\tilde{x}}^{\text{*}}\left(n\right)\right]=\frac{1}{2}\left[{\tilde{X}}^{\text{*}}\left(k\right)+\tilde{X}\left(k\right)\right]$

$\text{D}\text{F}\text{T}\left[\tilde{x}\left(-n\right)\right]=\frac{1}{2}\left[{\tilde{X}}^{\text{*}}\left(k\right)-\tilde{X}\left(k\right)\right]$