a. For the system given systems, determine whether it is linear, time invariant and/or causal . i. y[n] = 3x²[n] dy ii. + 4ty(t) = 2x(t) dt y[n + 1] + 4y[n] = 3x[n + 1] b. Consider a system S with input x[n] and output y[n] related by y[n] = x[n]{g[n] + g[n – 1]}, determine whether in each of the following cases, is time invariant or memoryless or both. i. iii. S %3D If g[n]=1 for all n If g[n]=n If g[n]=1+(-1)" c. Explain the types of interconnection of systems. ii. jii. d. Explain the term “stability" in the context of signals and systems

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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4.
а.
For the system given systems, determine whether it is linear, time invariant and/or
causal .
i.
y[n] = 3x²[n]
ii.
dy
+ 4ty(t) = 2x(t)
dt
y[n + 1] + 4y[n] = 3x[n+ 1]
b. Consider a system S with input x[n] and output y[n] related by
y[n] = x[n]{g[n] + g[n – 1]}, determine whether in each of the following cases, S
is time invariant or memoryless or both.
iii.
-
i.
If g[n]=1 for all n
If g[n]=n
If g[n]=1+(-1)"
c. Explain the types of interconnection of
ii.
iii.
systems.
d. Explain the term “stability" in the context of signals and
systems
Transcribed Image Text:4. а. For the system given systems, determine whether it is linear, time invariant and/or causal . i. y[n] = 3x²[n] ii. dy + 4ty(t) = 2x(t) dt y[n + 1] + 4y[n] = 3x[n+ 1] b. Consider a system S with input x[n] and output y[n] related by y[n] = x[n]{g[n] + g[n – 1]}, determine whether in each of the following cases, S is time invariant or memoryless or both. iii. - i. If g[n]=1 for all n If g[n]=n If g[n]=1+(-1)" c. Explain the types of interconnection of ii. iii. systems. d. Explain the term “stability" in the context of signals and systems
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