Question: (Difficulty: * * *) Consider a local interpolation scheme based on Lagrange polynomials. Suppose you want to compute the approximate value of s ((n +

(Difficulty: * * *) Consider a local interpolation scheme based on Lagrange polynomials. Suppose you want to compute the approximate value of s ((n + +)7), |+| 0. For N = 2. Lagrange interpolation will fit a parabola through s[n - 1), s[n] and s[n + 1] for all values of T. Consider the following signal, showing 5 samples around s(m]: the gray area represents the range of the local approximation that we want to perform, Below you will find six plots each one of which shows, in red, a polynomial interpolator passing through s(n). Select the interpolators that are valid Lagrange interpolators for the gray interval. 10 5 -5 n - 2 n-1 n- ntan+l in + 2 A+ A+I
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