Let (a) Show that the sample vectors corresponding to the functions 1 cos Iuml x cos2 Iuml x and cos 3 Iuml x form a basis for the vector space of all sample functions on S (b) Write the sampled version of the function f(x) x in terms of this basis 4'2'4...

a The sample vectors are line ...

Let (a) Show that the sample vectors corresponding to the functions 1. cos Ï x. cos2 Ï

Question:

Let

(a) Show that the sample vectors corresponding to the functions 1. cos Ï€ x. cos2 Ï€ x and cos 3 Ï€ x form a basis for the vector space of all sample functions on S.
(b) Write the sampled version of the function f(x) = x in terms of this basis.