Consider a periodic sequence x[n] with period N having Fourier series representation as

x[n] = \(\displaystyle\sum_{k=}\) X(k)ejk\(\left(\frac{2 \pi}{N}\right)\)n

The Fourier series representation of x*[−n], is

1
X^* (k)
2
X(k)
3
X^* (−k)
4
X(−k)

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