Right option is (c) Anti-symmetric
Explanation: We know that the unit sample response of the Hilbert transform is given as
h(n)=\(\frac{2}{\pi} \frac{(sin(\frac{πn}{2}))^{2}}{n}\); n≠0
h(n)=0; n=0
Thus from the above equation, we can tell that h(n)=-h(-n). Thus the unit sample response of Hilbert transform is anti-symmetric in nature.