The two inputs to an analogue multiplier are x(t) and y(t) with Fourier transform X(f) and Y(f) respectively. The output z(t) will have a transform Z(f) given by

1.  X(f).Y(f)

2.  X(f)+Y(f)

3.  X(f)/Y(f)

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Explanation :
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Fourier transform of the unit step signal u (t) =1 for t>0=0 for t

1.  π(ω)

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Fourier transform of v(t) cos 0t is

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The Fourier transform of a unit step function is given by

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2.  F(jω)=jω

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Fourier transform of a function f(at) is given by

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2.

3.

4.  None of these.

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If the Fourier transform of deterministic signal g(t) is G(f), then the Fourier transform of g(t-2) is

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The transform of f1 (t) =e-t u (t) is Then the transform of f(t)=f1(t)-f1(-t) is

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Given the transform pair Given The Fourier transform of f1 (t) e-jat is

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In the figure I and ii shown below, the exponentials decay as e-t. Fourier transform of f(t) in fig.i is F(). The Fourier transform of the function in fig.ii will be

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1.  for 0

2.  for -1

3.  for -1

4.  1 for -12

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