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The exponential Fourier series representation of continuous time periodic signal x(t) is defined as
where ω0 is the fundamental angular frequency of x(t) and the coefficient of series are ak .
The following information is given about x(t) and ak .
(i) x(t) is real and even having fundamental period of 6 sec.
(ii) Average value of x(t) is 2.
The average power of the signal x(t) (round of one decimal place) is _______.
    Correct answer is '32'. Can you explain this answer?
    Most Upvoted Answer
    The exponential Fourier series representation of continuous time perio...
    Given
    (i) x(t) is real and even with T = 6 sec
    (ii) Average value of x(t) =2
    From symmetry conditions, as x(t) is real and even, so its fourier series coefficients will also be real and even.
    i.e. a+k =ak and a− k =ak
    Also, given that average value of x(t)
    So, the complete set of Fourier series coefficients is given as
    Using Parseval’s theorem, average power of x(t) is given as
    Hence, the average power of signal x(t) is 32 W
    Question_Type: 4
    Free Test
    Community Answer
    The exponential Fourier series representation of continuous time perio...
    Given
    (i) x(t) is real and even with T = 6 sec
    (ii) Average value of x(t) =2
    From symmetry conditions, as x(t) is real and even, so its fourier series coefficients will also be real and even.
    i.e. a+k =ak and a− k =ak
    Also, given that average value of x(t)
    So, the complete set of Fourier series coefficients is given as
    Using Parseval’s theorem, average power of x(t) is given as
    Hence, the average power of signal x(t) is 32 W
    Question_Type: 4
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    The exponential Fourier series representation of continuous time periodic signal x(t) is defined aswhere ω0 is the fundamental angular frequency of x(t) and the coefficient of series are ak .The following information is given about x(t) and ak .(i) x(t) is real and even having fundamental period of 6 sec.(ii) Average value of x(t) is 2.The average power of the signal x(t) (round of one decimal place) is _______.Correct answer is '32'. Can you explain this answer?
    Question Description
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