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1、Chapter 2 Problems Solution-1 0 1 2 3 4 n2.1Compute and plot each of thefollowing convolutions:1Chapter 2 Problems Solution2.5Determine the value of N.2Chapter 2 Problems Solution2.7 A linear system S has the relationshipbetween its input and output(c)S is time-varying.3Chapter 2 Problems Solution4C
2、hapter 2 Problems Solution2.10 Suppose that(a)Determine(b)If contains only three discontinuities,what is the value of a?Solution：0 a 1 1+a t5Chapter 2 Problems Solution0 a 1 1+a t1-1If a=1，contains only threediscontinuities.2.11 Let(a)Compute(b)Compute(c)How is related to 6Chapter 2 Problems Solutio
3、n7Chapter 2 Problems Solution8Chapter 2 Problems Solution2.12 LetShow that for Determine the value of A.92.20.Evaluate the following integrals:Chapter 2 Problems Solution10Chapter 2 Problems Solution2.2211Chapter 2 Problems Solution(c)one period of0 t212Chapter 2 Problems SolutionOr 13Chapter 2 Prob
4、lems Solution2.23Determine and sketch for the following value of T:(a)T=4 (b)T=2 (c)T=3/2 (d)T=114Chapter 2 Problems Solution(a)T=4-5 -4 -3 -1 0 1 3 5 t (d)T=10 t -3 -1 0 1 3 t (b)T=20 t (c)T=3/215Chapter 2 Problems Solution2.40 (a)an LTI system:What is the impulse response for this system?(b)Determ
5、ine the response of(a)16Chapter 2 Problems Solution2.46 Consider an LTI system S and a signal andIf Determine the impulse response of S.17Chapter 2 Problems SolutionSolution：the impulse response18Chapter 2 Problems Solution2.47 An LTI system with impulse response 0 2 t In each of these cases,determi
6、newhether or not we have enough Information to determine the output 0 2 t 0 2 4 t 19Chapter 2 Problems Solution0 1 2 t We have not enough information to determine the output-2 0 t 20Chapter 2 Problems Solution0 2 t 2.24 (a)Find the impulse response(b)Find the response of the(c)overall system to the input21Chapter 2 Problems Solution(a)22(b)Chapter 2 Problems Solution23