GATE ECE 1995 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

The transfer function of a linear system is the

ratio of the output, v₀(t), and input, v_i(t).

ratio of the derivatives of the output and the input.

ratio of the Laplace transform of the output and that of the input with all initial conditions zeros.

none of these.

GATE ECE 1995

MCQ (Single Correct Answer)

-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

$$\int\limits_0^t {h\left( \tau \right)} u\left( {t - \tau } \right)d\tau \,\,\,\,\,\,$$

$${d \over {dt}}\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau \,\,\,\,\,} $$

$${\int\limits_0^t {\left[ {\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau } } \right]dt\,\,\,\,\,\,} }$$

$${\int\limits_0^t {{h^2}\left( \tau \right)u\left( {t - \tau } \right)d\tau } }$$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

Non - minimum phase transfer function is defined as the transfer function

which has zeros in the right - half s - plane.

which has zeros only in the left - half s - plane.

which has poles in the right - half s - plane.

which has poles in the left - half s - plane.

GATE ECE 1995

Subjective

-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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