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[重大信号与系统作业.docVIP

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[重大信号与系统作业

Signals and System Chap1 1.6 Determine whether or not each of the following signals is periodic: (a): (b): (c): 1.9 Determine whether or not each of the following signals is periodic, If a signal is periodic , specify its fundamental period: (a): (b): (c): (d): (e): 1.14 considera periodic signal with period T=2. The derivative of this signal is related to the “impulse train”, with period T=2. It can be shown that. Determine the values of , , , . 1.15.Consider a system S with input x[n] and output y[n].This system is obtained through a series interconnection of a system S1 followed by a system S2. The input-output relationships for S1 and S2 are S1: S2: Where and denote input signals. (a) Determine the input-output relationship for system S. (b)Does the input-output relationship of system S change if the order in which S1 and S2 are connected in series is reversed(i e ,if S2 follows S1)? 1.16.Consider a discrete-time system with input x[n] and output y[n].The input-output relationship for this system is (a) Is the system memoryless? (b) Determine the output of the system when the input is , where A is any real or complex number. (c) Is the system invertible? 1.17.Consider a continuous-time system with input x(t) and output y(t) related by (a) Is this system causal? (b) Is this system linear? 1.21.A continous-time signal is shown in Figure P1.21. Sketch and label carefully each of the following signals: (a): (b): (c): (d): (e): (f): 1.22. A discrete-time signal is shown in Figure P1.22. Sketch and label carefully each of the following signals: (a): (b): (c): (d): (e): (f): (g): (h): 1.25.Determine whether or not each of the following continuous-time signals is periodic. If the signal is periodic, determine its fundamental period. (a): (b): (c): (d): (e): (f):

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