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Unformatted text preview: . 1 X ( ) 1 321 ω 1 2 2 2 10(8). We know that the inverse transform of is ( ) ( ) t t x 2 sinc 2 1 = . ( ) 1 X 1 121 0 2 However, if we think of this pulse as made up of two adjacent pulses of width 2, i.e. , as then the inverse Fourier transform is ( ) ( ) ( ) t t t x cos sinc 2 2 = . ( ) 2 X Show that . ( ) ( ) t x t x 2 1 = 11(10). If the impulse response of a LTI system is ) 4 cos( ) ( sinc 2 ) ( t t t h = , find output , when the ) ( t y input is ) 4 sin( ) cos( 1 ) ( t t t x + + = 1 2 1 0 1 2...
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 Spring '07
 WOZNY
 Digital Signal Processing, LTI system theory

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