GATE ECE 1995 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

A 1.0 kHz signal is flat - top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular LPF with cut - off frequency of 1100 Hz, then the output of the filter contains

only 800 Hz component.

800 Hz and 900 Hz components.

800 Hz and 1000 Hz components.

800 Hz, 900 Hz and 1000 Hz components.

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-$${f_{m\,}}\, < f < {f_{m\,}}$$.

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

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

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

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

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

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

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