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 1995
Subjective
+5
-0
A signal v(t)= [1+ m(t) ] cos $$({\omega _c}t)$$ is detected using a square law detector, having the characteristic $${v_0}(t) = {v^2}(t)$$. If the Fourier transform of m(t) is constant, $${M_0}$$, extending from - $${f_{m\,}}\,to\, + {f_{m\,}}$$, sketch the Fourier transform of $${v_0}(t)$$ in the frequency range-$${f_{m\,}}\, < f < {f_{m\,}}$$.
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