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Unformatted text preview: ), where H (j ) = Z - e-j t h ( t )d t . Problem 2: Using the System Frequency Response to Compute System Response to a Periodic Signal (60 Points) Consider a continuous-time LTI system whose impulse response is h ( t ) = sin(5 t ) t . (a) Calculate the frequency response H (j ) = Z - h ( t )e-j t d t . (b) If the input to this system is x ( t ) = sin 2 8 t + cos(2 t ), determine the corresponding output y ( t ). Hint: Decompose x ( t ) as a Fourier series and determine the response of the individual components....
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- Fall '07