Consider the signals of Figures (a) and (d).(a) Change the period of xa(t) to T0 = 0.2π. U...

Consider the signals of Figures (a) and (d).

(a) Change the period of xa(t) to T0 = 0.2π. Use Table 4.3 to find the Fourier coefficients of the exponential form for this signal.

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(b) Use Table to find the Fourier coefficients of the exponential form for xd(t).

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(c) Consider the signal

x(t) = a1xa(t) + b1xd(t –  τ),

where xa(t) is defined in Part (a). By inspection of Figures (a) and (d), find a1, b1, and τ such that x(t) is constant for all time; that is, x(t) = A, where A is a constant. In addition, evaluate A.

TABLE Fourier Series for Common Signals