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(5*3-15) 2.1 (a) For the following systems, determine whether or not the system is (1) Stable (2) Causal (3) Linear (4) Memory less (0) T[x(n)]

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(5*3-15) 2.1 (a) For the following systems, determine whether or not the system is (1) Stable (2) Causal (3) Linear (4) Memory less (0) T[x(n)] = x ( no) T[x(n)] = 3 e*() (b) Consider a sequence x(n) x(n) = 4-n Osns 4 =0 otherwise Find its discrete time Fourier Transform X(M) (c) Draw and explain the convergence of Fourier Series of square wave by illustrating the Gibbs phenomenon for different values of 'N

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