1
GATE ECE 1995
+1
-0.3
The transfer function of a linear system is the
A
ratio of the output, v0(t), and input, vi(t).
B
ratio of the derivatives of the output and the input.
C
ratio of the Laplace transform of the output and that of the input with all initial conditions zeros.
D
none of these.
2
GATE ECE 1995
+1
-0.3
Let h(t) be the impulse response of a linear time invariant system. Then the response of the system for any input u(t) is
A
$$\int\limits_0^t {h\left( \tau \right)} u\left( {t - \tau } \right)d\tau \,\,\,\,\,\,$$
B
$${d \over {dt}}\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau \,\,\,\,\,}$$
C
$${\int\limits_0^t {\left[ {\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau } } \right]dt\,\,\,\,\,\,} }$$
D
$${\int\limits_0^t {{h^2}\left( \tau \right)u\left( {t - \tau } \right)d\tau } }$$
3
GATE ECE 1995
+1
-0.3
Non - minimum phase transfer function is defined as the transfer function
A
which has zeros in the right - half s - plane.
B
which has zeros only in the left - half s - plane.
C
which has poles in the right - half s - plane.
D
which has poles in the left - half s - plane.
4
GATE ECE 1994
True or False
+1
-0
Indicate whether the following statement is TRUE/FALSE: Give reason for your answer.

If G(s) is a stable transfer function, then $$F\left( s \right) = {1 \over {G\left( s \right)}}$$ is always a stable transfer function.

A
TRUE
B
FALSE
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