20082ee102_1_HW-7

20082ee102_1_HW-7 - X jω – The Fourier Transform of x...

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SPRING 2008: Put First Letter * of LAST Name in the corner →→%% (* Otherwise Your HW will be LOST!) PRINT: (LAST, Middle, First):——————————————————– HW: # 7 A LATE HW IS NEVER A HW! Posted: May 15 Hand In: May 22 Attach This Sheet To Your HW 1. Text Book: # 4.13 2. Text Book: Appendix # 12 3. Text Book: Appendix # 65 4. Text Book: Appendix # 82 5. Text Book: # 5.3 6. Given x ( t ) = ( e αt if t < 0 e - αt if t 0 Where α > 0. (i) Plot x ( t ) and the spectra
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Unformatted text preview: X ( jω ) – The Fourier Transform of x ( t ). (ii) Let x ( t ) ne the IP to the L system S with IFR h ( t ) = e-t U ( t ). x ( t ) → [ S ] → y ( t ) Compute y ( t ) by BT. Then calculate Y ( iω ) := F{ y ( t ) } . (iii) Calculate H ( iω ) X ( iω ) where H ( iω ) and X ( iω ) are the FT of h ( t ) and x ( t ), respectively. Do you ﬁnd that H ( iω ) X ( iω ) = Y ( iω ) Where you already found Y ( iω ) in part (ii)?...
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