Consider the system of Figure P4.21, with(a) The input x(t) is the square wave of Table 4....

Consider the system of Figure P4.21, with

(a) The input x(t) is the square wave of Table 4.3, with X0 = 20 and T0 = 3. For the output y(t), find the numerical values for the dc component and the first, second, and third harmonics of the combined trigonometric form of the Fourier series.

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(b) Verify the results in Part (a) using MATLAB.

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(c) Repeat Parts (a) and (b) for the sawtooth wave of Table.

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(d) Repeat Parts (a) and (b) for the triangular wave of Table.

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(e) Repeat Parts (a) and (b) for the full-wave rectified signal of Table.

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(f) Repeat Parts (a) and (b) for the half-wave rectified signal of Table.

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(g) Repeat Parts (a) and (b) for the rectangular wave of Table. Let the width of the pulse be unity, that is, w = 1.

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(h) Repeat Parts (a) and (b) for the impulse train of Table.

TABLE Fourier Series for Common Signals