4（20 分）Suppose that we are given the following information about a causal discrete-time LTI system:文档收集自网络，仅用于个人学习 得 分 （1）If the input is x?n??u?n?，then the output is y?n??a?1/2?u?n??2?1/3?u?n?. （2）The value of the unit impulse response at n=0 is h?0??1.文档收集自网络，仅用于个人学习 Solve the following problems：
(a) Determine the system function H?z?，and indicate its ROC.文档收集自网络，仅用于个人学习 (b) Draw a block diagram representation of this system. 文档收集自网络，仅用于个人学习 (c) Determine the unit impulse response h?n?.
(d) Supposeg[n]??nh?n?. Determine the range of real number?so that g[n] is the unit impulse response of a stable system.文档收集自网络，仅用于个人学习 nn
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