Question

(a) (10 pts) Let xn = 1 for all n E Z be a sample sequence. Let v(t) be the interpolation of these samples using sinc. Compute v(1/2) from the

series representation of v(t). Hint: use the Taylor series of arc tangent. (b) (10 pts) Now let yn = (-1)" for n < 0, yn = 0 for n > 1, and let w(t) interpolate these samples using sinc. What is w(1/2)?

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