Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform
15 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: The Continuous, Time Fourier Series & The Discrete, Time Fourier Transform
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Determine the Fourier series coefficient for given periodic signal x(t).
Que: x(t) as shown in fig.
A = 10 , T = 5, X [k] = 2
Determine the Fourier series coefficient for given periodic signal x(t).
Que: x(t) as shown in fig.
Determine the Fourier series coefficient for given periodic signal x(t).
Que: x(t) as shown in fig.
Determine the Fourier series coefficient for given periodic signal x(t).
Que: x(t) as shown in fig.
Determine the Fourier series coefficient for given periodic signal x(t).
x(t) = sin2t
In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
= 2(cos 6πt - sin 2πt)
In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
Que: X[k] as shown in fig, wo = π
In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
Que: X[k] As shown in fig. , ωo = 2π
In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.
Que: X[k] As shown in fig. , ωo = π
Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.
Que: y(t) = x(t - t0 ) + x (t - t0 )
x(t - t0) is also periodic with T. TheFourier series coefficients X1[k] of x(t - t0) are
Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.
Que: y(t) = Ev{x(t)}
The FS coefficients of x(t) are
Therefore, the FS coefficients of Ev{ x(t)} are
Consider a continuous time periodic signal x(t) with fundamental period T and Fourier series coefficients X[k]. Determine the Fourier series coefficient of the signal y(t) given in question and choose correct option.
Que: y(t) = Re{x(t)}
Determine the signal having the Fourier transform given in question.
Determine the signal having the Fourier transform given in question.
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