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8. Consider the continuous-time epcriodic signal x(1) and the periodic signal il) defined by -1 I- E2). 0, othcrwise (a) Compute the l'ourier transform X(j27 F) of x(1) and the Fourier scries cocfficients C of fr). (b Using the results in (a) verify the relationship c - X(j2zk/Th) /To. to Pla X(j2x Ð| and lal on one plot and ZX(j2x F) and Zq on another plot to illustrate the rtsult in part (b). An aperiodic signalTf)

8. Consider the continuous-time epcriodic signal x(1) and the periodic signal il) defined by -1 I- E2). 0, othcrwise (a) Compute the l'ourier transform X(j27 F) of x(1) and the Fourier scries cocfficients C of fr). (b Using the results in (a) verify the relationship c - X(j2zk/Th) /To. to Pla X(j2x Ð| and lal on one plot and ZX(j2x F) and Zq on another plot to illustrate the rtsult in part (b). An aperiodic signalTf)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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E-00 8. Consider the continuous-time aperiodic signal 1) and the periodic signal i() defined by () - and i() - Tt-2). otherwise (a) Compute the Fourier transform X(j27 F) of x(1) and the Fourier serics cocfficients q of f(). (b Using the results in (a) verify the relationship - X(j2zk/Th) /To. (O Plat IX(j2n FD| and Ical on one plot and ZX(j2nF) and Zg on another plot to illustrate the result in part (b). An aperiodic signal x(1) - 2xinc(21) is multiplied by a periodic rectungular pulse truin s() with fundamental frequency Fo - 4 Hz and the fundamental rectangular pulse given by 1. -1/80 re 1/80 0. othcrwisc pi) - to obtain a signal x,t) - x(tis(). (a Compute and plot the CTIT X2) over the F< 80 range in Hr. by Compute and plot the CTIS cocfficients Over the A 80 range in Hz. (C) Compute X (j2F) using ( and plot it ver the F 80 range in H. 10. In this problem we illustratc the numerical cvalualion ofDTES using MATLAR. (a) Write a funcion dif( which compates the DTT cocflicients Tof a pcriodic signal. b) Write a furction aFnOi- which computes the inycrse DTES Verify that your funcions are sorking comuctly by replicating the nauls in Example 1 Determinc and plot the maer tede and phae spera of the fowina de scquence hp fg f10 f11 f12
Transcribed Image Text:E-00 8. Consider the continuous-time aperiodic signal 1) and the periodic signal i() defined by () - and i() - Tt-2). otherwise (a) Compute the Fourier transform X(j27 F) of x(1) and the Fourier serics cocfficients q of f(). (b Using the results in (a) verify the relationship - X(j2zk/Th) /To. (O Plat IX(j2n FD| and Ical on one plot and ZX(j2nF) and Zg on another plot to illustrate the result in part (b). An aperiodic signal x(1) - 2xinc(21) is multiplied by a periodic rectungular pulse truin s() with fundamental frequency Fo - 4 Hz and the fundamental rectangular pulse given by 1. -1/80 re 1/80 0. othcrwisc pi) - to obtain a signal x,t) - x(tis(). (a Compute and plot the CTIT X2) over the F< 80 range in Hr. by Compute and plot the CTIS cocfficients Over the A 80 range in Hz. (C) Compute X (j2F) using ( and plot it ver the F 80 range in H. 10. In this problem we illustratc the numerical cvalualion ofDTES using MATLAR. (a) Write a funcion dif( which compates the DTT cocflicients Tof a pcriodic signal. b) Write a furction aFnOi- which computes the inycrse DTES Verify that your funcions are sorking comuctly by replicating the nauls in Example 1 Determinc and plot the maer tede and phae spera of the fowina de scquence hp fg f10 f11 f12
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