# Electronics and Communication Engineering - Signals and Systems

### Exercise :: Signals and Systems - Section 10

1.

If F(jω) is the Fourier transform of f(t), then

 A. £ f(- t) = F(jω) B. £ f(- t) = F* (jω) C. £ f(- t) = F(- jω) D. £ f(- t) = F* (- jω)

Explanation:

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2.

Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.

Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

 A. Both A and R are correct and R is correct explanation of A B. Both A and R are correct but R is not correct explanation of A C. A is true, R is false D. A is false, R is true

Explanation:

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3.

An impulse train is

 A. a number of pulses B. a number of pulses spaced from each other C. a number of pulses all originating together D. none of the above

Explanation:

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4.

For formation of state equations, the inductors and current sources

 A. should be in tree B. should be in cotree C. may be in tree or cotree D. should be in both tree and cotree

Explanation:

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5.

If f(t) = 1, F(jω) =

 A. 2p B. p C. 2pδ (p) D. pδ (ω)