Question

What is the new ideal interpolation formula described after few problems with previous one?

(a) g(t)=\(\frac{sin⁡(2πt/T)}{(πt/T)}\)

(b) g(t)=\(\frac{sin⁡(πt/T)}{(πt/T)}\)

(c) g(t)=\(\frac{sin⁡(6 πt/T)}{(πt/T)}\)

(d) g(t)=\(\frac{sin⁡(3 πt/T)}{(πt/T)}\)

The question was posed to me during an internship interview.

My question is based upon Digital to Analog Conversion Sample and Hold in division Sampling and Reconstruction of Signals of Digital Signal Processing

Answer 1

Right choice is (b) g(t)=\(\frac{sin⁡(πt/T)}{(πt/T)}\)

Easy explanation: The reconstruction of the signal x (t) from its samples as an interpolation problem and have described the function:g(t)=\(\frac{sin⁡(πt/T)}{(πt/T)}\).