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INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI
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Exp-2 System and their property
Objective
Theory
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1) A system can be defined by the input output relationship Y(t) = x(2t). The system is
Time-variant
Time-invariant
2) A system is defined as y[n] = x(n)+x(n-1). Is the given system time-variant or time-invariant?
Time-variant
Time-invariant
3) A system is defined as Y(n) = x(-n). Is the given system time-variant or time-invariant?
Time-variant
Time-invariant
None of these
4) What is a possible value of "p" for which the system to be causal? y[n] = p.x[n+p] +x[n+1+p]+(p+2).x[n+(p+1)^2].
p> -1
p =-2
p=-3
None of these
5) A system is defined as y[n] = a.x[n] + b.x(n-1). Identify the system as causal, non-causal or anti-causal? .
Casual
Non-casual
Anti-casual
6) A system is Causal
If the output at any time depends only on the values of present input.
If the output at any time depends only on the values of the future input.
If the output at any time depends only on the values of the present and past input.
7) A system is defined by the input output relationship Y(n) = X(n)+3.X(n+4). Then this system is
Casual
Non-casual
Anti-casual
8) A system is defined by the input-output relationship as Y(n) = X(-n). Identify whether the system is Causal, non-causal or anti-causal
Casual
Non-casual
Anti-casual
9) Y(n) = X(n^2), the system is
Anti-casual
Casual
Non-casual
10) A system can be defined as Y(n) = X(n/2). The system is
Time-variant.
Time-invariant.
Non of these
11) From causal/non-causal experiment, for system 3 what will be the delay for which the system will be causal ?
3
5
2
12) Determine the following system Y(n) =x(n)+ 1/x(n-1) as
linear
Non-linear
Non of these
13)A system is defined by the input-output relationship Y(n)= 2.x(n) + 1/x(n-1). The system is
linear
Non-linear
Non of these
14)From causal/non-causal experiment, for system 2 what will be the delay for which the system will be causal ?
3
1
4
15)A system is said to be linear if it satisfies
Homogeneity property.
Additivity property.
Only (1).
Both (1) and (2)
16)A system can be defined as the input-output relationship Y(t) = 2.x(t)+3. The system is
Linear
Non-Linear
Non of these
17)A system 'S' whose input x(t) and output y(t) are related by the relationship y(t) = t.x(t). The system 'S' is
Linear
Non-Linear
Non of these
18)A system is defined by the relationship Y(n) = X(2n). The system is
Casual
Non-casual
Anti-casual
