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Which of the ...

Question

Which of the following statement is correct for the periodic signal $x (t) = | c o s t |$ ?

The coefficients

C_{0}

of the exponential fourier series x(t) is negative.

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The coefficients of the exponential fourier series of x(t) are all real- valued.

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The coefficients of the exponential fourier series of x(t) are all imaginary- valued.

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The coefficients

C_{0}

of the exponential fourier series x(t) is zero.

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Solution

The correct option is B The coefficients of the exponential fourier series of x(t) are all real- valued.
$| c o s t | \to$ even and real signal,
Exponential fourier series coefficient of even and real signal is even and real.

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