Lecture2 - EE214A Lecture 2 Abeer Alwan Last Time Frequency...

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1 EE214A Lecture 2 Abeer Alwan Last Time k j k c k X e X z X c j X s X ), ( ), ( ), ( ; ), ( ), ( Frequency Transforms for CT and DT signals: Periodic signals have a line spectrum while aperiodic signals have a continuous spectrum. Also recall that: frequency sampling the is and / 1 where / s s F F T T
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2 Why is the DTFT periodic? ). ( ) ( , all for 1 but ) ( ) ( ) ( ) ( ) ( } 2 { 2 2 } 2 { } 2 { k j j n j n j n j n n j n j n j n j e X e X Hence n e e e n x e n x e X e n x e X Hence, the DTFT is periodic in 2 Today Sampling Theorem Decimation and Interpolation LTI (or LSI) systems
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