4. Suppose we have a signal f(t) on [0,1] which is bandlimited in that it only...

 

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4. Suppose we have a signal f(t) on [0,1] which is "bandlimited" in that it only has N = 2B + 1 Fourier series coefficients which are non-zero: f(t) for some set of expansion coefficients = a= B akelankt k=-B a-B X = 00 ECN aB We observe M samples of f(t) at locations t, t2,..., to which are not necessarily uniformly spaced, y[m] = f(tm), m= 1,...,M. Write a MATLAB function sampmat.m that takes a vector smptimes of length M containing the sample locations and a dimension N = 2B + 1 (which you can assume is odd), and returns a MX N matrix A such that when A is applied to the vector of Fourier series coefficients a it returns the sample values as the vector x. (20 points) f(t) [2] f(tm) 4. Suppose we have a signal f(t) on [0,1] which is "bandlimited" in that it only has N = 2B + 1 Fourier series coefficients which are non-zero: f(t) for some set of expansion coefficients = a= B akelankt k=-B a-B X = 00 ECN aB We observe M samples of f(t) at locations t, t2,..., to which are not necessarily uniformly spaced, y[m] = f(tm), m= 1,...,M. Write a MATLAB function sampmat.m that takes a vector smptimes of length M containing the sample locations and a dimension N = 2B + 1 (which you can assume is odd), and returns a MX N matrix A such that when A is applied to the vector of Fourier series coefficients a it returns the sample values as the vector x. (20 points) f(t) [2] f(tm)

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SOLUTION Heres the MATLAB function sampmatm that takes a vector smptimes of length M containing the ... View the full answer