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Unformatted text preview: . ±ind the average power in the signal x(t), 1 T R T | x ( t ) | 2 . Hint:Use Parseval’s relationship! 5. Let x ( t ) = exp (-at ) u ( t ) ,where u(t) is the unit step function. ±ind the ±ourier transform of the following signals. (a) x ( t ) (b) y ( t ) = x ( t + 5) (c) z ( t ) = x ( t ) sin(2 π 40 t ) 1 6. Evaluate the Fourier transform of the damped sinusoidal wave g ( t ) = exp(-t ) sin(2 πf c t ) u ( t ) , where u ( t ) is the unit step function. 7. Show that the overall system function H ( s ) for the feedback system in FIGURE 7 is given by H ( s ) = F ( s ) 1-F ( s ) G ( s ) . + F(s) G(s) 8. A signal x ( t ) of ±nite energy is applied to a sqaure-law device whose output is de±ned by y ( t ) = x 2 ( t ) . The spectrum of x ( t ) is limited to the frequency interval-W ≤ f ≤ W . Hence show that the spectrum of y ( t ) is limited to-2 W ≤ f ≤ 2 W . 2...
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This note was uploaded on 04/03/2008 for the course ECE ECE332 taught by Professor Rose during the Spring '08 term at Rutgers.
- Spring '08