1
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-$${f_{m\,}}\, < f < {f_{m\,}}$$.
2
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-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
A
only 800 Hz component.
B
800 Hz and 900 Hz components.
C
800 Hz and 1000 Hz components.
D
800 Hz, 900 Hz and 1000 Hz components.
3
GATE ECE 1995
Subjective
+2
-0
Match each of the items, A, B and C, with an appropriate item from 1, 2, 3, 4 and 5

A. Fourier transform of a Gaussian function
B. Convolution of a rectangular pulse with itself
C. Current through an inductor for a step input voltage

1. Gaussian function
2. Rectangular pulse
3. Triangular pulse Ramp function
4. Rump function
5. Zero

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