1.
2.
3.
4.
5.
6.
7.
SET 1
SET 1
Part A: -
Part A: -
State whether the following system is time invariant or not and linear or not.
y(t) = 2t x(t)
State the classification of CT and DT systems.
Differentiate between time invariant and time variant systems.
Differentiate between static and dynamic systems.
Determine whether the system y(n) = log(1+|x(n)|) is stable or not.
Differentiate between linear and non-linear systems.
Define LTI system.
1. State whether the following system is time invariant or not and linear or not.
y(t) = 2t x(t)
2. State the classification of CT and DT systems.
3.
Differentiate between time invariant and time variant systems.
4.
Differentiate between static and dynamic systems.
5.
Determine whether the system y(n) = log(1+|x(n)|) is stable or not.
6.
Differentiate between linear and non-linear systems.
7.
Define LTI system.
Part B: 1. Determine whether the following system is Linear, Causal, Time Invariant, Stable
Part B: 1.
and Static.
1.
2.
3.
4.
5.
6.
7.
Determine whether the following system is Linear, Causal, Time
Invariant, Stable and Static.
(a)
y(n) = x(n) + x(n-1)
(a)
y(n) = x(n) + x(n-1)
(b)
y(t) = x(t-3) + x(3-t)
(b)
y(t) = x(t-3) + x(3-t)
(c)
y(n) = (1/3)[x (n) + x(n+1)]
(c)
y(n) = (1/3)[x (n) + x(n+1)]
SET 2
SET 2
Part A: -
Part A: -
Define System.
Differentiate between causal and non-causal systems.
Differentiate between stable and unstable systems.
Check whether the following system is static or dynamic and also causal and
noncausal. y(n) =x(2n)
W hat are the conditions for a system to be a n LTI system?
Find whether the given system y[n]=n x[n] is time invariant or not and linear or
not.
List the properties of LTI system.
1.
2.
3.
4.
Part B: -
Part B: -
1. Determine whether the following system is Linear, Causal, Time Invariant, Stable
5.
6.
7.
1.
and Static.
Define System.
Differentiate between causal and non-causal systems.
Differentiate between stable and unstable systems.
Check whether the following system is static or dynamic and also causal and
noncausal. y(n) =x(2n)
W hat are the conditions for a system to be a n LTI system?
Find whether the given system y[n]=n x[n] is time invariant or not and linear
or not.
List the properties of LTI system.
Determine whether the following system is Linear, Causal, Time
Invariant, Stable and Static.
(a)
d3y(t)/dt3 + 4 d2y(t)/dt2 + 5 dy/dt + y(t) = x(t)
(a)
d3y(t)/dt3 + 4 d2y(t)/dt2 + 5 dy/dt + y(t) = x(t)
(b)
y(n) = an2 x(n) + bn
(b)
y(n) = an2 x(n) + bn
(c)
y(n) = cos (ωn)
(c)
y(n) = cos (ωn)
SET 1
SET 1
Part A: -
Part A: 1.
2.
3.
4.
5.
6.
7.
State whether the following system is time invariant or not and linear or not.
y(t) = 2t x(t)
State the classification of CT and DT systems.
Differentiate between time invariant and time variant systems.
Differentiate between static and dynamic systems.
Determine whether the system y(n) = log(1+|x(n)|) is stable or not.
Differentiate between linear and non-linear systems.
Define LTI system.
1.
State whether the following system is time invariant or not and linear or not.
y(t) = 2t x(t)
2.
State the classification of CT and DT systems.
3.
Differentiate between time invariant and time variant systems.
4.
Differentiate between static and dynamic systems.
5.
Determine whether the system y(n) = log(1+|x(n)|) is stable or not.
6.
Differentiate between linear and non-linear systems.
7.
Define LTI system.
Part B: -
Part B: 1. Determine whether the following system is Linear, Causal, Time Invariant, Stable
and Static.
and Static.
y(n) = x(n) + x(n-1)
(b)
y(t) = x(t-3) + x(3-t)
(b)
y(t) = x(t-3) + x(3-t)
y(n) = (1/3)[x (n) + x(n+1)]
(c)
y(n) = (1/3)[x (n) + x(n+1)]
SET 2
SET 2
Part A: -
Part A: -
5.
6.
7.
y(n) = x(n) + x(n-1)
(a)
(a)
(c)
1.
2.
3.
4.
1. Determine whether the following system is Linear, Causal, Time Invariant, Stable
1.
2.
3.
4.
Define System.
Differentiate between causal and non-causal systems.
Differentiate between stable and unstable systems.
Check whether the following system is static or dynamic and also causal and
noncausal. y(n) =x(2n)
W hat are the conditions for a system to be a n LTI system?
Find whether the given system y[n]=n x[n] is time invariant or not and linear or
not.
List the properties of LTI system.
7.
Part B: -
Part B: 1.
5.
6.
Define System.
Differentiate between causal and non-causal systems.
Differentiate between stable and unstable systems.
Check whether the following system is static or dynamic and also
causal and noncausal. y(n) =x(2n)
W hat are the conditions for a system to be a n LTI system?
Find whether the given system y[n]=n x[n] is time invariant or not and
linear or not.
List the properties of LTI system.
Determine whether the following system is Linear, Causal, Time
Invariant, Stable and Static.
1. Determine whether the following system is Linear, Causal, Time Invariant,
Stable and Static.
d3y(t)/dt3 + 4 d2y(t)/dt2 + 5 dy/dt + y(t) = x(t)
(a)
d y(t)/dt + 4 d y(t)/dt + 5 dy/dt + y(t) = x(t)
(a)
(b)
y(n) = an2 x(n) + bn
(b)
y(n) = an2 x(n) + bn
(c)
y(n) = cos (ωn)
(c)
y(n) = cos (ωn)
3
3
2
2