1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The impulse response g(t) of a system G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)? GATE EE 2015 Set 1 Signals and Systems - Linear Time Invariant Systems Question 49 English
A
$$\frac23$$
B
$$\frac34$$
C
$$\frac45$$
D
1
2
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider an LTI system with impulse response $$h\left(t\right)=e^{-5t}u\left(t\right)$$ . If the output of the system is $$y\left(t\right)=e^{-3t}u\left(t\right)-e^{-5t}u\left(t\right)$$ then the input, x(t), is given by
A
$$e^{-3t}u\left(t\right)$$
B
$$2e^{-3t}u\left(t\right)$$
C
$$e^{-5t}u\left(t\right)$$
D
$$2e^{-5t}u\left(t\right)$$
3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider an LTI system with transfer function $$H\left(s\right)=\frac1{s\left(s+4\right)}$$.If the input to the system is cos(3t) and the steady state output is $$A\sin\left(3t+\alpha\right)$$, then the value of A is
A
1/30
B
1/15
C
3/4
D
4/3
4
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?
A
z(t) can be nonzero over an unbounded interval
B
z(t) is nonzero for $$t\;<\;T_x+T_y$$
C
z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$
D
z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$
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