Theory: It states that the auto-correlation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process.
Result: The wiener–khinchin relation is verified.
1. Define Gibbs Phenomena
Ans: The Gibbs phenomenon involves both the fact that Fourier sums overshoot at a jump discontinuity, and that this overshoot does not die out as the frequency increases.
2. Define the condition for distortion less transmission through the system
Ans: Transmission is said to be distortion less if the input and output have identical wave shapes within a multiplicative constant.A delayed output that retains the input waveform is also considered distortion less.Thus in distortion-less transmission, the input x(t) and output y(t) satisfy the condition:
y(t) = Kx(t - t) where t is the delay time and k is a constant
3. What is Paley-Winer criterion?
Ans: Paley–Wiener theorem is any theorem that relates decay properties of a function or distribution at infinity with analyticity of its Fourier transform.
4.What is frequency response?
Ans: Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system. It is a measure of magnitude and phase of the output as a function of frequency, in comparison to the input.