Examine whether the signals given below are (time-invariant), (linear), (causal), and (memoryless)

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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1- Examine whether the signals given below are (time-invariant), (linear), (causal), and (memoryless).
d) y(t) = sin(x(t))
dy
+y° (t) = x(t)
dt
f) y[n+1]+ 4y[n] = 3x[n+ 1] – x[n]
dx
g) y(t) =.
+ x(t)
dt
h) y[n]= x[2n]
i) y[n]= nx[2n]
dy
j)
+ sin(t)y(t) = 4x(t)
dt
d'y
k)
2
dt
dy
dx
+4x(t)
dt
+10
+ 4y(t)
di
Transcribed Image Text:1- Examine whether the signals given below are (time-invariant), (linear), (causal), and (memoryless). d) y(t) = sin(x(t)) dy +y° (t) = x(t) dt f) y[n+1]+ 4y[n] = 3x[n+ 1] – x[n] dx g) y(t) =. + x(t) dt h) y[n]= x[2n] i) y[n]= nx[2n] dy j) + sin(t)y(t) = 4x(t) dt d'y k) 2 dt dy dx +4x(t) dt +10 + 4y(t) di
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