hw2_sol - Problem Set 2 Solution 3.2) (15 Points) Since X f...

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Problem Set 2 – Solution 3.2) (15 Points) Since 1 ) ( = θ f X it must be that ] [ ] [ n n x δ = . Hence sampling x(t) must produce ] [ n and since 0 2 02 . 0 - t e for all t the defining term is sinc(t) . For the above result to hold we must have at least T=1 . 3.5) (15 Points) For (3.65) please note that: ) 0 ( ) ( ) ( 0 F t j X dt e t x dt t x - - = = . Similarly via (3.14 and 3.10) we get ) 0 ( ) 2 0 ( ) ( 0 f k F n nT j TX T k X e nT x T = - = -∞ = -∞ = π which is equivalent using eq. 3.19. For (3.66) we use the Parseval’s theorem:
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hw2_sol - Problem Set 2 Solution 3.2) (15 Points) Since X f...

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