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Consider the sine transform on CN defined by (10.24) and (10.25)
(a) The right-hand sides of these two equations are defined for all integers Z. Show that these extensions ofx and x have period 2N +2.
(b) Show that x(N) = 0 and that x(2N +1) = 0. (c) Show that x(N +k) = −x(N −k), for k = 0,…, N