ECE :: Signals and Systems
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Assertion (A): Standard deviation is the abscissa of a point of inflection on the probability curve.
Reason (R): The equation for probability curve is
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If f(t) and F(jω) form a transform pair, then as per symmetry in Fourier transforms
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The theoretical power of white noise is
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If Sn is the power associated with each frequency component and S(f) is the sum of all these powers, normalised power spectral density is
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Assertion (A): When a function f(t) is represented as exponential Fourier series, the set of complex coefficients Fn is called frequency spectrum of f(t)
Reason (R): Frequency spectrum is also called line spectrum.
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For the signal in the given figure the Fourier transform is
Then the Fourier transform of the signal in the given figure
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Let x(t) ↔ X(jω) be F.T pair. The Fourier transform of the signal x(5t - 3) in terms of X(jω) is given as
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