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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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