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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 | 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 | ||
| − | + | MAY BE: | |
If the FT of X(jw) of a continuous-time signal x(t) consists of only impulses, then x(t) is periodic | If the FT of X(jw) of a continuous-time signal x(t) consists of only impulses, then x(t) is periodic | ||
| + | MAY BE: e^jw0n has a FT that is an impulse | ||
| + | |||
| + | |||
| + | Lets denote X(jw) the FT of a continuous-time non-zero signal x(t). If x(t) is an odd signal, then | ||
| + | YES: | ||
| − | + | </math> | |
Revision as of 19:52, 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
MAY BE:
If the FT of X(jw) of a continuous-time signal x(t) consists of only impulses, then x(t) is periodic
MAY BE: e^jw0n has a FT that is an impulse
Lets denote X(jw) the FT of a continuous-time non-zero signal x(t). If x(t) is an odd signal, then
YES:
</math>
