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## Marks 1

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Consider the signal $$\,x\left( t \right)$$ $$\,\,\, = \,\,\,\cos \left( {6\pi t} \right)\,\, + \,\,\sin \left( {8\pi t}... GATE ECE 2016 Set 3 A continuous -time function$$x\left( t \right)$$is periodic with period$$T$$. The function is sampled uniformly with ... GATE ECE 2016 Set 1 The signal$$\cos \left( {10\pi t + {\pi \over 4}} \right)$$is ideally sampled at a sampling frequency of 15 Hz. Th... GATE ECE 2015 Set 2 A modulated signal is$$y\left( t \right)\, = \,\,\,\,\,\,\,\,\,m\left( t \right)\,\cos \left( {40000\pi t} \right),$$... GATE ECE 2014 Set 3 Let$$\,x\,\,\left( t \right)\,\,\, = \,\,\,\cos \,\,\,\left( {10\pi t} \right)\,\, + \,\,\cos \,\,\left( {30\pi t} \rig...
GATE ECE 2014 Set 3
Consider two real valued signals, $$x\left( t \right)$$ band - limited to $$\,\left[ { - 500Hz,\,\,500Hz} \right]$$ and ...
GATE ECE 2014 Set 1
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the samplin...
GATE ECE 2013
Consider a sampled signal $$y\left( t \right) = 5 \times {10^{ - 6}}\,x\left( t \right)\,\,\sum\limits_{n = - \infty }^... GATE ECE 2002 A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through GATE ECE 2001 Flat top sampling of low pass signals GATE ECE 1998 A 1.0 kHz signal is flat - top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangul... GATE ECE 1995 Increased pulse-width in the flat-top sampling, leads to ... GATE ECE 1994 ## Marks 2 More The signal x(t) =$$\sin \,(14000\,\pi t)$$, where t is in seconds, is sampled at a rate of 9000 samples per second. The... GATE ECE 2017 Set 2 Consider a continuous-time signal defined as$$x(t) = \left( {{{\sin \,(\pi t/2)} \over {(\pi t/2)}}} \right)*\sum\limit...
GATE ECE 2015 Set 3
The Nyquist sampling rate for the signal $$s(t) = {{\sin \,(500\pi t)} \over {\pi \,t}} \times {{\sin \,(700\pi t)} \ove... GATE ECE 2010 A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where$$g(t)\, = \,\,\sum\limits_{k = - \infty...
GATE ECE 2006
The minimum sampling frequency (in samples /sec) required to reconstruct the following signal from its samples without ...
GATE ECE 2006
A 1 kHz sinusoidal signal is ideally sampled at 1500 samples /sec and the sampled signal is passed through an ideal low-...
GATE ECE 2004
Let x(t) = $$\,2\cos (800\pi t) + \cos (1400\pi t)$$. x(t) is sampled with the rectangular pulse train shown in figure. ...
GATE ECE 2003
A signal x(t) = 100 cos $$(24\pi \times {10^3})$$ t is ideally sampled with a sampling period of 50 $$\mu \sec$$ and t...
GATE ECE 2002
The Nyquist sampling interval, for the signal Sinc(700t) + Sinc(500t) is
GATE ECE 2001
GATE ECE 1992

## Marks 5

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A band limited signal x(t) with a spectrum X(f) as shown in Fig. a is processed as shown in Fig.b. p(t) is a periodic tr...
GATE ECE 2000
A low pass signal m(t) band-limited to B Hz is sampled by a periodic rectangular pulse train, $${p_\tau }(t)$$ of period...
GATE ECE 1993

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