信号与系统习题集(20220217200339).pdf

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1、欢迎下载18 function of the system is H(s) = ( ). A2)2(1ssB2)2(1sssC2)2(1211sssD2)2(11s10. The Laplace transform of a causal signal x(t) is 2)(1)(assX, then x(t) = ( ). A. )(tueatB. )(tuteatC. )(2tuetatD. )(tuteat11. A continuous-time LTI system can be described by its system function H(s), and it is kno

2、wn that the frequency response H(j ) exists, then the system must be ( ). A. time-invariant B. causal C. stable D. linear 12. Let )4()(*)()(tttuty, then the Laplace transform of y(t) is Y(s) = ( ). A. )1 (1)(4sessYB. 411)(sssYC. )1(1)(4sessYD. 411)(sssY13. Let 2Re,21)()2(sessXsbe the Laplace transfo

3、rm of signal x(t), then ( ). A. )1()(2tuetxtB. )1()()2(2tuetxtC. )2()(2tuetxtD. ) 1()()1(2tuetxt14. Let X(s) denote the Laplace transform of x(t), then the Laplace transform of signal x(2t - 5) is ( ). A. sesX25)2(21B. sesX5)2(21C. sesX5)2(21D.sesX25)2(2115. H(s) is the system function of an LTI sys

4、tem, then mathematical form of the unit impulse response h(t) can only be determined by ( ). A. the zeros of )(sHB. the poles of )(sHC. the input signal D. the input signal and the poles of )(sH三、综合题 (分析、计算 ) 1. Given a causal LTI system, if the input signal is )()(tuetxt, the output response is 欢迎下

5、载19 )()612131()(42tueeetyttt, (1). Determine the system function H(s); (2). Is the system stable? Why? (3). If we apply the signal )()(2tuetxtto the system, determine the corresponding output response y(t). 2. Consider a causal LTI system described by the differential equation: )(3)()(2)(3)(22txdttd

6、xtydttdydttyd(1). Determine the system function H(s); (2). Plot the pole-zero diagram. (3). Is the system stable? Why? (4). If we apply the signal )()(tuetxtto the system, determine the corresponding output response y(t). 3. It is known that 23)(2ssssXis the Laplace transform of a continuous-time signal x(t). Determine the inverse Laplace transforms for each of the following ROCs: (1). Res -1; (2). -2 Res -1; (3). Res -1; (2). -2 Res -1; (3). Res 0. -1 -2 1 2 jFigure 3.11 ?)(tvi)(tvoR 3L 1H C 0.5F Figure 3.12 RLC circuit ?