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What is the value of unit sample response of an ideal Hilbert transform for ‘n’ even?(a) -1(b) 1(c) 0(d) None of the mentionedI got this question in an internship interview.This intriguing question originated from Design of Hilbert Transformers topic in section Digital Filters Design of Digital Signal Processing

Answer»

The correct ANSWER is (c) 0

To explain I would say: The UNIT sample response of the Hilbert transformer is given as

h(n)=\(\frac{2}{\pi} \frac{(sin(\frac{πn}{2}))^{2}}{n}\); n≠0

h(n)=0; n=0

From the above equation, it is CLEAR that h(n) becomes zero for EVEN values of ‘n’.



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