# Why Is the DFT of a Signal Symmetric About Its Central Bin?

When i take an N point DFT of a signal, it comes out to be conjugate symmetric about the point N/2 . Could someone please tell how to understand this intuitively or mathematically ?

• lacks research. Wikipedia. DFT. Properties. The Real-input DFT. Anyway, if you need to prove that, just insert a real-valued signal into the DFT formula and show that symmetrical terms are conjugate to each other. – Marcus Müller Sep 4 '17 at 18:57

Since the Sine governs the Complex part and is $N$ periodic one could see it creates conjugate symmetry of the DFT.