Fourier transform of $f[n]$ and $f[-n]$

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Hi I am just wondering,

If I have a signal $f[n]\in \mathbb{C}^L$, i.e. $f$ is $L$-periodic, i can also define $h[n]=f[-n]$.

Is it true that the Fourier transform of $f$, say $\hat{F}$, and the Fourier tranform of $h$, say $\hat{H}$ is related by the equation below?

$$|\hat{F}[k]|=|\hat{H}[k]|$$

Any advice/suggestion is welcome!