Chapter 1 Problems Solution
作业,1.14 1.15 1.16 1.17
1.21 (d) (e) (f)
1.22 (d) (g)
1.23
1.24 (a) (b)
1.26 (a) (b)
1.27 1.31
Chapter 1 Problems Solution
1.162 nxnxny
(a) No,it is a system with memory.
(b)nAnx
022 nnAny
(c) Is this system invertible?
No,
1 nAnx?
0312 nnAny
Chapter 1 Problems Solution
1.17txty s i n?
(a) No.
0s i n xxy
(b) Yes.
(a) Is this system causal?
(b) Is this system linear?
Chapter 1 Problems Solution
1.27 A system may or may not be
(1) Memoryless (2) Time invariant (3) Linear
(4) Causal (5) Stable
Determine which of these properties hold and which do
not hold for each of the following continuous-time systems.
txtxty 22,a
Linear,Time-varying,with memory,not causal,stable
txtty 3co s b?
Linear,Time-varying,memoryless,causal,stable
dxty t 2 c
Linear,Time-varying,with memory,not causal,not stable
Chapter 1 Problems Solution




0t 2
0t,0 d
txtxty
Linear,Time-varying,with memory,Causal,Stable




0 2
0,0 e
txtxtx
txty
Nonlinear,Time-invariant,with memory,Causal,Stable
3/ f txty?
Linear,Time-varying,with memory,not causal,Stable
dt tdxty? g
Linear,Time-invariant,with memory,causal,not stable
Chapter 1 Problems Solution
1.31 Consider an LTI system:
tytx 11 a? Determine and sketch22 tytx
(b) Determine and sketch the response of the system
considered in part of (a) to the input x3(t).
0 1 2
1
tx1
t
2
0 1 2
1
ty1
t
43
1?
0 1 2
1
tx2
t
2
1? 0 1 2
1
tx3
t
Chapter 1 Problems Solution
2 1,112 txtxtx
2112 tytyty
0 1 2 3 4 t
2
1
ty2
2?
1 2,113 txtxtx
1113 tytyty
2
0 1 2
1
ty1
t
11?ty
2
0 1 2
1
ty3
t1?