(a) Write the signals of Figure 2.37 as the linear combination of two delayed triangular functions. That...

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(a) Write the signals of Figure 2.37 as the linear combination of two delayed triangular functions. That is, write xa(t) = aΛ ((t - t1) / T1) + a2Λ((t - t2) / T2) by finding appropriate values for a1, a2, t1, t2, T1, and T2. Do similar expressions for all four signals shown in figure 2.36.

(b) Given the Fourier-transform pair Λ(t) †” sinc2 (f), find their Fourier transforms using the superposition, scale-change, and time-delay theorems.Compare your results with the answers obtained in Problem 2.26.


Figure 2.36

1.5 0.5 0.5 -0.5 3 2 3 1, s 1,s 1.5 1.5 0.5 0.5 3 3 1, s 1, S 2. 2. 2. 2. 2.


Figure 2.37

R V; R +, Output Input Ra Rp


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