信号与系统：习题Ch9

1、Exercise Ch. 99.1(e) So, 9.2.(a)9.6 (a) No. from property 3 in Section 9.2 we know that for a finite-duration signal, the ROC is the entire s-plane. Therefore , there can be no poles in the s-plane.(b) Yes. Since the signal is absolutely integrable, the ROC must include the jw-axis. Therefore, the R

2、OC would be Res2. From property 5 in Section 9.2 we know that this would correspond to a left-sided signal.(c) No. (d) Yes. Since the signal is absolutely integrable, the ROC must include the jw-axis. Therefore, the ROC could be a Res 2 and a 0. From property 6 in Section 9.2 we know that this would

3、 correspond to a two-sided signal.9.10. (a) . This system is a lowpass filter.(b) , This system is a bandpass filter. 9.16.Solution:As a causal LTI system S is represented by ,Its system function is(1) If,Then,9.17.The sytem consists of two parallel subsystems. Each is a feedback interconnection of

4、two LTI systems.The corresponding differential equation is 9.21. (b), Based on the shifting in the s-Domain, The zeros are at , the poles are at 和9.21.(g), 9.26, , , ,As, ROC is , namely ., 9.40. (a)The system function is ,(b) We use the unilateral Laplace Transform:9.65. (a) For the capacitor , For the inductor For the resistor So, Let (b) Let Applying the unilateral transforn to both sides of the above equation, we obtainin which Method 2: (a) zero-state rsponse: