Question 2
Marks : +2 | -2
Pass Ratio : 100%
What is the Fourier series representation of a signal x(n) whose period is N?
Explanation: Here, the frequency F0 of a continuous time signal is divided into 2Ï€/N intervals.
Question 3
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Pass Ratio : 100%
If cx(n) is the complex cepstrum sequence obtained from the inverse Fourier transform of ln X(ω), then what is the expression for cθ(n)?
Explanation: We know that,
Question 7
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Pass Ratio : 100%
What is the expression for Fourier series coefficient ck in terms of the discrete signal x(n)?
Explanation: We know that, the Fourier series representation of a discrete signal x(n) is given as
Question 8
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Pass Ratio : 100%
What is the Fourier transform X(ω) of a finite energy discrete time signal x(n)?
Explanation: If we consider a signal x(n) which is discrete in nature and has finite energy, then the Fourier transform of that signal is given as
Question 9
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Pass Ratio : 100%
What is the Fourier series representation of a signal x(n) whose period is N?
Explanation: The average power of a periodic signal x(t) is given as \\(\\frac{1}{T_p}\\int_{t_0}^{t_0+T_p}|x(t)|^2 dt\\)
Question 10
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Pass Ratio : 100%
If x(n) is a stable sequence so that X(z) converges on to a unit circle, then the complex cepstrum signal is defined as ____________
Explanation: Let us consider a sequence x(n) having a z-transform X(z). We assume that x(n) is a stable sequence so that X(z) converges on to the unit circle. The complex cepstrum of the signal x(n) is defined as the sequence cx(n), which is the inverse z-transform of Cx(z), where Cx(z)=ln X(z)