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Problem 3.9 Determine the time-domain signal represented by the following FS coefficients: (a) X[k]=j8[k-2] + j8[k + 2] + 28[k 3] + 28[k +

 

Problem 3.9 Determine the time-domain signal represented by the following FS coefficients: (a) X[k]=j8[k-2] + j8[k + 2] + 28[k 3] + 28[k + 3], w = = (b) [k] given in Fig. 3.20 with wo/2 Answers: (a) (b) x(t) = 2 sin(2t) + 4 cos(3t) x(t) sin(9(t-1)/4) sin((-1)/4) \X[k] -2 0 2 arg(X[k]] 2T - -2 FIGURE 3.20 FS coefficients for Problem 3.9(b).

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