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