GATE ECE 2004 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

$$ - {90^ \circ }$$

$$ {0^ \circ }$$

$$ {90^ \circ }$$

$$ - {180^ \circ }$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Consider the signal x(t) shown in Fig. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slope of h(t) in the interval 3 < t < 4 sec is GATE ECE 2004 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 19 English

GATE ECE 2004 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 19 English

$$1/2\,{\sec ^{ - 1}}$$

$$-1\,{\sec ^{ - 1}}$$

$$-1/2\,{\sec ^{ - 1}}$$

$$1\,{\sec ^{ - 1}}$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

A 1 kHz sinusoidal signal is ideally sampled at 1500 samples /sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequency 800 Hz. The output signal has the frequency

zero Hz

0.75 kHz

0.5 kHz

0.25 kHz

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Consider the sequence

$$x[n] = [ - \,4 - \,j5,\,\mathop {1 + j2}\limits_ \uparrow ,\,\,4]$$

The conjugate anti-symmetric part of the sequence is

$$\left[ {\matrix{ { - 4 - j\,\,2.5} & {j\,2} & {4 - j\,\,2.5} \cr } } \right]$$

$$\left[ {\matrix{ { - j\,\,2.5} & 1 & { - j\,\,2.5} \cr } } \right]$$

$$\left[ {\matrix{ { - j\,\,5} & {j\,2} & 0 \cr } } \right]$$

$$\left[ {\matrix{ { - 4} & 1 & 4 \cr } } \right]$$

GATE ECE Papers

2023