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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

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang