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The signals x_{1}(t) and x_{2}(t) are given by
If the periods of x_{1}(t) and x_{2}(t) be T_{1} and T_{2} respectively, then T_{1}/T_{2} is equal to
The Fourier transform of a unit step function is
Assertion (A): A frequency domain representation of a signal shows the frequency content and indicates the shape of the waveform or the combined amplitude of all the input components at any specific time.
Reason (R): In frequency domain, a signal is represented by its frequency spectrum.
Which of the following option is not correct for obtaining the Fourier transform of a signal x(f)7
Match ListI (Operations on x(t)) with Listll (X(ω)/Fourier transform) and select the correct answer using the codes given below the lists:
Assertion (A): The Parseval’s theorem implies superposition of the average powers.
Reason (R): The interpretation of the Parseval’s theorem is that the total average power of the signal x(t) can be found by squaring and adding the heights of the amplitude lines in the spectrum of the periodic signal x(t).
Fourier series analysis is a tool used to
1. analyse any periodic and nonperiodic signal.
2. find how many frequency components are present in the signal.
3. find the relative phase difference between various frequency components.
4. represents a waveform in the form of sum of infinite number of exponential terms.
5. find the amplitude of various terms in the series.
Which of the statements given above are correct?
The power spectral density of a power signal x(t) is shown in figure below.
The average power of the signal is
The energy of a causal exponential pulse shown in figure is
The Fourier transform of the decaying exponential pulse shown in figure is
21 docs263 tests

21 docs263 tests
