(Alternate Solutions)
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The Fourier transform of X(jw) of a continuous-time signal x(t) is periodic
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The Fourier transform of X(ejw) of a continuous-time signal x[n] is periodic
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YES: X(ejw) is always periodic with period 2pi
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If the FT of X(ejw) of a discrete-time signal x[n] is given as: X(ejw) = 3 + 3cos(3w), then the signal x[n] is periodic
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If the FT of X(jw) of a continuous-time signal x(t) consists of only impulses, then x(t) is periodic
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Lets

Revision as of 19:36, 18 July 2008

The Fourier transform of X(jw) of a continuous-time signal x(t) is periodic

MAY BE: X(jw) is periodic only if x(t) is periodic


The Fourier transform of X(ejw) of a continuous-time signal x[n] is periodic

YES: X(ejw) is always periodic with period 2pi


If the FT of X(ejw) of a discrete-time signal x[n] is given as: X(ejw) = 3 + 3cos(3w), then the signal x[n] is periodic



If the FT of X(jw) of a continuous-time signal x(t) consists of only impulses, then x(t) is periodic


Lets

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