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5.24. Find the Fourier transform of a periodic signal x( t ) with period T0 •

5.25. Find the Fou rier transform of the periodic impulse train [Fig. 5-22( a)]
00

k = -00

5.26. Show that

x ( t ) cos w 0 t !X ( w – w O ) +!X ( w + w O )
( 5.148 )

and x( t ) sin w 0 t -J [ } X ( w – w0 ) – } X ( w + w0 )]
Equation ( 5.148 ) is known as the modulation theorem.

( 5.149 )

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