Marks 1

More
Consider the random process x(t) = U + Vt. Where U is a zero mean Gaussian random variable and V is a random variable ...
GATE ECE 2017 Set 2
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival ...
GATE ECE 2014 Set 4
Two independent random variable X and Y are uniformly distributed in the interval [ - 1, 1]. The probability that max [X...
GATE ECE 2012
The power spectral density of a real process X(t) for positive frequencies is shown below. The value of $$E\,\left[ {{X... GATE ECE 2012 If E denotes expectation, the variance of a random variable X is given by GATE ECE 2007 The PDF of a Gaussian random variable X is given by$${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}...
GATE ECE 2001
The amplitude spectrum of a Gaussian pulse is
GATE ECE 1998
The ACF of a rectangular pulse of duration T is
GATE ECE 1998
The probability density function of the envelope of narrow band Gaussian noise is
GATE ECE 1998
A probability density function is given by $$p(x) = \,K\,\,\exp \,\,( - \,{x^2}/2),\,\, - \,\infty \, The value of K sh... GATE ECE 1997 For a narrow band noise with Gaussian quadrature and inphase components, the probability density function of its enveolo... GATE ECE 1995 Marks 2 More Let$$X(t)$$be a wide sense stationary random process with the power spectral density$${S_x}\left( f \right)$$as show... GATE ECE 2017 Set 1 A wide sense stationary random process$$X(t)$$passes through the$$LTI$$system shown in the figure. If the autocorrel... GATE ECE 2016 Set 3 An information source generates a binary sequence$$\left\{ {{\alpha _n}} \right\}.{\alpha _n}$$can take one of the two... GATE ECE 2016 Set 2 Consider random process$$X(t) = 3V(t) - 8$$, where$$V(t)$$is a zero mean stationary random process with autocorr... GATE ECE 2016 Set 2 An antenna pointing in a certain direction has a noise temperature of 50K. The ambient temperature is 290K. The antenna ... GATE ECE 2016 Set 1 A random binary wave$$y(t)$$is given by$$$y\left( t \right) = \sum\limits_{n = - \infty }^\infty {{X_n}p\left( {t ... GATE ECE 2015 Set 3 A zero mean white Gaussian noise having power spectral density $${{{N_0}} \over 2}$$ is passed through an $$LTI$$ filt... GATE ECE 2015 Set 2 $$\mathop {\left\{ {{X_n}} \right\}}\nolimits_{n = - \infty }^{n = \infty }$$ is an independent and identically distri... GATE ECE 2015 Set 2 Let $$X \in \left\{ {0,1} \right\}$$ and $$Y \in \left\{ {0,1} \right\}$$ be two independent binary random variables. If... GATE ECE 2015 Set 2 Let $$X(t)$$ be a wide sense stationary $$(WSS)$$ random procfess with power spectral density $${S_x}\left( f \right)$$.... GATE ECE 2014 Set 3 A real band-limited random process $$X( t )$$ has two -sided power spectral density $${S_x}\left( f \right) = \left\{ {... GATE ECE 2014 Set 3 Let$${X_1},\,{X_2},$$and$${X_3}$$be independent and identically distributed random variables with the uniform distri... GATE ECE 2014 Set 3 The power spectral density of a real stationary random process X(t) is given by$$${S_x}\left( f \right) = \left\{ {\ma...
GATE ECE 2014 Set 2
Consider a random process $$X\left( t \right) = \sqrt 2 \sin \left( {2\pi t + \varphi } \right),$$ where the ra...
GATE ECE 2014 Set 1
Let $$Q\left( {\sqrt y } \right)$$ be the BER of a BPSK system over an AWGN channel with two - sided noise power spectra...
GATE ECE 2014 Set 1
Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the respective received signals for bot...
GATE ECE 2013
Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the respective received signals for bot...
GATE ECE 2013
X(t) is a stationary random process with autocorrelation function Rx$$\left( \tau \right)$$= exp$$\left( { - \pi {\tau ... GATE ECE 2011 X(t) is a stationary process with the power spectral density Sx(f) > 0 for all f. The process is passed through a syst... GATE ECE 2010 Noise with double-sided power spectral density of K over all frequencies is passed through a RC low pass filter with 3-d... GATE ECE 2008 A zero-mean white Gaussian noise is passed through an ideal low-pass filter of bandwidth 10 kHz. The output is then unif... GATE ECE 2006 The following question refer to wide sense stationary stochastic process: It is desired to generate a stochastic p... GATE ECE 2006 The following question refer to wide sense stationary stochastic process: The parameters of the system obtained in ... GATE ECE 2006 Noise with uniform power spectral density of N0 W/Hz is passed through a filter H(ω ) = 2exp (-jωtd) followed by an ide... GATE ECE 2005 An output of a communication channel is a random variable 'V' with the probability density function as shown in the figu... GATE ECE 2005 A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through a cable that has 40 dB loss. If t... GATE ECE 2004 If the variance$$\sigma _d^2$$of d(n) = x(n - 1) is one-tenth the variance$$\sigma _x^2$$of a stationary zero-mean d... GATE ECE 2002 For a random variable 'X' following the probability density function, p (x), shown in figure, the mean and the variance ... GATE ECE 1992 Two resistors$$\,{R_1}$$and$$\,{R_2}$$(in ohms) at temperatures$${T_1}{}^ \circ K$$and$${T_2}{}^ \circ K$$respec... GATE ECE 1991 Zero mean Gaussian noise of variance N is applied to a half wave rectifier. The mean squared value of the rectifier outp... GATE ECE 1989 A part of a communication system consists of an amplifier of effective noise temperature,$$Te = \,\,21\,\,{}^ \circ K\,...
GATE ECE 1989
White Gaussian noise is passed through a linear narrow band filter. The probability density function of the envelope of...
GATE ECE 1987
The variance of a random variable X is $$\sigma _x^2\,.$$ Then the variance of - kx (where k is a positive constant ) is...
GATE ECE 1987

Marks 4

More
White Gaussian noise with zero mean and double - sided power spectral density $$\eta /2$$ is the input $$x(t)$$ to a lin...
GATE ECE 1988

EXAM MAP

Graduate Aptitude Test in Engineering

GATE ECE GATE CSE GATE CE GATE EE GATE ME GATE PI GATE IN

Joint Entrance Examination

JEE Main JEE Advanced