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# 1(a) The function X(t) is defined as follows X(t) =_(n= -)^(t-nT) Draw this periodic function, then determine the fourier series coefficients k, and

1(a) The function X(t) is defined as follows
X(t) =∑_(n= -∞)^∞▒〖δ(t-nT)〗
Draw this periodic function, then determine the fourier series coefficients αk, and the fourier transform X(w)
b) given X(t)=sin⁡〖(2πt)〗,
i) determine X[nT1) for -6 ≤ n ≤ 8 and T1 corresponding to a sampling rate of 4Hz
i) determine X[nT2] for -6 ≤ n ≤ 8 and T2 corresponding to a sampling rate of 2Hz
c) Explain the difference between normal sampling, oversampling and under sampling.

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